1A production function shows the relationship between:
production function with one and two variables inputs
Easy
A.Inputs used and maximum output produced
B.Profit earned and quantity sold
C.Cost of production and total revenue
D.Price of a good and quantity demanded
Correct Answer: Inputs used and maximum output produced
Explanation:
A production function expresses the technical relationship between physical inputs and the maximum output that can be produced from them.
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2In the short run, at least one factor of production is:
production function with one and two variables inputs
Easy
A.Fixed
B.Free
C.Variable
D.Eliminated
Correct Answer: Fixed
Explanation:
The short run is defined as the period in which at least one input remains fixed while others can vary.
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3Average Product (AP) of labour is calculated as:
production function with one and two variables inputs
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Average product is total output divided by the number of units of the variable input employed.
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4Marginal Product (MP) refers to the:
production function with one and two variables inputs
Easy
A.Change in total product from one more unit of input
B.Fixed output level of the firm
C.Average output per unit of input
D.Total output produced by all inputs
Correct Answer: Change in total product from one more unit of input
Explanation:
Marginal product is the addition to total product resulting from employing one additional unit of a variable input.
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5The Law of Variable Proportions operates in the:
production function with one and two variables inputs
Easy
A.Long run
B.Very long run
C.Market period only
D.Short run
Correct Answer: Short run
Explanation:
The Law of Variable Proportions applies in the short run when some inputs are fixed and only variable inputs are changed.
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6When Marginal Product is zero, Total Product is:
production function with one and two variables inputs
Easy
A.At its minimum
B.Falling rapidly
C.Increasing
D.At its maximum
Correct Answer: At its maximum
Explanation:
Total product reaches its maximum point where marginal product equals zero; beyond this MP becomes negative and TP falls.
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7As long as Marginal Product is greater than Average Product, Average Product will:
production function with one and two variables inputs
Easy
A.Fall
B.Become negative
C.Rise
D.Remain constant
Correct Answer: Rise
Explanation:
When MP exceeds AP, it pulls the average up, so AP keeps rising until MP equals AP.
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8A curve showing all combinations of two inputs that yield the same level of output is called an:
production function with two variables inputs
Easy
A.Demand curve
B.Indifference curve
C.Isocost line
D.Isoquant
Correct Answer: Isoquant
Explanation:
An isoquant represents different combinations of two variable inputs that produce the same quantity of output.
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9An isoquant normally slopes:
production function with two variables inputs
Easy
A.Vertically
B.Downward from left to right
C.Upward from left to right
D.Horizontally
Correct Answer: Downward from left to right
Explanation:
An isoquant is downward sloping because using more of one input requires less of the other to keep output constant.
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10The Marginal Rate of Technical Substitution (MRTS) measures the rate at which one input is:
production function with two variables inputs
Easy
A.Removed to lower output
B.Added to increase total cost
C.Combined with capital to raise price
D.Substituted for another keeping output constant
Correct Answer: Substituted for another keeping output constant
Explanation:
MRTS shows how much of one input can be given up for an additional unit of the other while keeping output unchanged.
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11An isocost line shows all combinations of two inputs that a firm can buy with a given:
optimal combination of inputs
Easy
A.Selling price
B.Level of output
C.Total cost outlay
D.Marginal product
Correct Answer: Total cost outlay
Explanation:
An isocost line represents the different input combinations a firm can purchase for a given total expenditure.
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12The optimal (least-cost) combination of inputs occurs where the isoquant is:
optimal combination of inputs
Easy
A.Tangent to the isocost line
B.Parallel to the isocost line
C.Above the isocost line
D.Below the isocost line
Correct Answer: Tangent to the isocost line
Explanation:
Producer equilibrium is reached at the point where an isoquant is tangent to the isocost line, giving the least-cost input mix.
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13At the point of least-cost combination, MRTS between labour and capital equals the:
optimal combination of inputs
Easy
A.Total output level
B.Sum of their prices
C.Difference in their prices
D.Ratio of their prices
Correct Answer: Ratio of their prices
Explanation:
The optimal input combination satisfies the condition that MRTS equals the ratio of the input prices .
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14The slope of the isocost line is determined by the:
optimal combination of inputs
Easy
A.Firm's profit margin
B.Level of total output
C.Ratio of input prices
D.Marginal product of labour
Correct Answer: Ratio of input prices
Explanation:
The isocost line's slope equals the ratio of the prices of the two inputs, such as .
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15Returns to scale are studied in the:
returns to scale
Easy
A.Market period
B.Short run
C.Long run
D.Very short run
Correct Answer: Long run
Explanation:
Returns to scale relate to the long run, when all inputs can be varied in the same proportion.
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16When all inputs are doubled and output more than doubles, the firm experiences:
returns to scale
Easy
A.Decreasing returns to scale
B.Increasing returns to scale
C.Negative returns to scale
D.Constant returns to scale
Correct Answer: Increasing returns to scale
Explanation:
Increasing returns to scale occur when a proportionate increase in all inputs leads to a more than proportionate increase in output.
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17If all inputs are doubled and output also exactly doubles, the firm has:
returns to scale
Easy
A.Constant returns to scale
B.Diminishing returns
C.Decreasing returns to scale
D.Increasing returns to scale
Correct Answer: Constant returns to scale
Explanation:
Constant returns to scale exist when output rises in the same proportion as the increase in all inputs.
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18When all inputs are increased by 50% but output rises by only 30%, the firm faces:
returns to scale
Easy
A.Constant returns to scale
B.Increasing returns to scale
C.Zero returns to scale
D.Decreasing returns to scale
Correct Answer: Decreasing returns to scale
Explanation:
Decreasing returns to scale occur when output increases less than proportionately to the increase in all inputs.
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19Which of the following is a common cause of increasing returns to scale?
returns to scale
Easy
A.Managerial difficulties
B.Economies of scale
C.Fixed factor limits
D.Diseconomies of scale
Correct Answer: Economies of scale
Explanation:
Economies of scale, such as specialisation and better use of machinery, lead to increasing returns to scale.
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20Decreasing returns to scale are mainly caused by:
returns to scale
Easy
A.Economies of scale
B.Division of labour
C.Increased specialisation
D.Diseconomies of scale
Correct Answer: Diseconomies of scale
Explanation:
Diseconomies of scale, like managerial and coordination problems in large firms, cause decreasing returns to scale.
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21A firm's short-run production function is , where is labour. At what level of is the marginal product of labour maximised?
production function with one and two variables inputs
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
. Maximising requires , so .
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22The law of variable proportions states that as more units of a variable input are added to fixed inputs, the marginal product will eventually:
production function with one and two variables inputs
Medium
A.Become negative immediately
B.Remain constant
C.Decline
D.Rise continuously
Correct Answer: Decline
Explanation:
The law of variable proportions (diminishing returns) states that beyond a point, adding more of a variable input to fixed inputs causes marginal product to eventually decline.
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23If total product is at its maximum, the marginal product of the variable input is:
production function with one and two variables inputs
Medium
A.Negative
B.Maximum
C.Zero
D.Equal to average product
Correct Answer: Zero
Explanation:
When total product reaches its peak, the slope of the TP curve is zero, meaning . Beyond this point turns negative and TP falls.
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24Average product is maximised at the point where:
production function with one and two variables inputs
Medium
A.
B. is maximum
C.
D.
Correct Answer:
Explanation:
Average product is maximum where the marginal product curve intersects it, i.e. . Before this (AP rising) and after it (AP falling).
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25With 5 workers total output is 100 units; with 6 workers it is 108 units. The marginal product of the 6th worker is:
production function with one and two variables inputs
Medium
A.16 units
B.48 units
C.18 units
D.8 units
Correct Answer: 8 units
Explanation:
units. Marginal product is the change in total output from adding one more unit of input.
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26The most efficient stage of production for a rational producer in the short run is Stage II because in this stage:
production function with one and two variables inputs
Medium
A.Both and are falling but positive
B. is negative
C.Total product is falling
D. is still rising
Correct Answer: Both and are falling but positive
Explanation:
Stage II runs from the point where is maximum to where . Here both are positive but declining, and it is the rational region since Stage I underutilises fixed inputs and Stage III has negative .
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27An isoquant that is a straight downward-sloping line indicates that the two inputs are:
production function with two variable inputs
Medium
A.Perfect complements
B.Used in fixed proportions
C.Perfect substitutes
D.Not substitutable at all
Correct Answer: Perfect substitutes
Explanation:
A linear isoquant reflects a constant marginal rate of technical substitution, meaning one input can be substituted for the other at a fixed rate, i.e. the inputs are perfect substitutes.
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28The marginal rate of technical substitution (MRTS) of labour for capital is equal to:
production function with two variable inputs
Medium
A. always
B.
C.
D.
Correct Answer:
Explanation:
Along an isoquant output is constant, so , giving .
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29L-shaped isoquants indicate that the two inputs are:
production function with two variable inputs
Medium
A.Independent of each other
B.Perfect substitutes
C.Perfect complements used in fixed proportions
D.Continuously substitutable
Correct Answer: Perfect complements used in fixed proportions
Explanation:
Right-angled (L-shaped) isoquants show that inputs must be used in a fixed ratio; adding more of one input alone does not raise output. These are perfect complements (Leontief technology).
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30As we move down along a convex isoquant, the MRTS of labour for capital typically:
production function with two variable inputs
Medium
A.Stays constant
B.Increases
C.Diminishes
D.Becomes zero
Correct Answer: Diminishes
Explanation:
Convex isoquants exhibit a diminishing MRTS: as labour is substituted for capital, each additional unit of labour replaces less capital, reflecting the reduced substitutability.
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31A producer minimises cost for a given output where the isoquant is tangent to the isocost line, i.e. where:
optimal combination of inputs
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Producer equilibrium occurs where the MRTS equals the input price ratio: , i.e. the slope of the isoquant equals the slope of the isocost.
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32At the optimum input mix, the condition can also be written as equal marginal product per rupee:
optimal combination of inputs
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Cost minimisation requires the last rupee spent on each input to yield the same marginal product: , which rearranges to .
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33At a firm's current input mix, , , , . To reduce cost the firm should:
optimal combination of inputs
Medium
A.Keep the mix unchanged
B.Use more capital and less labour
C.Reduce both inputs equally
D.Use more labour and less capital
Correct Answer: Use more labour and less capital
Explanation:
and . Since labour gives more output per rupee, the firm should hire more labour and less capital.
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34An isocost line shifts outward parallel to itself when:
optimal combination of inputs
Medium
A.The wage rate rises
B.Output doubles
C.The rental price of capital rises
D.The firm's total budget (outlay) increases
Correct Answer: The firm's total budget (outlay) increases
Explanation:
A parallel outward shift keeps input prices (slope) unchanged while raising the intercepts, which happens when the total cost outlay increases. A price change would rotate, not shift, the line.
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35The locus of least-cost input combinations at various output levels, holding input prices constant, is called the:
optimal combination of inputs
Medium
A.Expansion path
B.Isoquant map
C.Isocost curve
D.Ridge line
Correct Answer: Expansion path
Explanation:
The expansion path joins all tangency points between isoquants and isocost lines as output expands with fixed input prices, showing least-cost input combinations for each output.
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36If all inputs are doubled and output increases by more than double, the firm experiences:
returns to scale
Medium
A.Increasing returns to scale
B.Constant returns to scale
C.Diminishing marginal returns
D.Decreasing returns to scale
Correct Answer: Increasing returns to scale
Explanation:
When a proportional increase in all inputs leads to a more than proportional increase in output, the production function exhibits increasing returns to scale.
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37For the Cobb-Douglas function , the returns to scale are:
returns to scale
Medium
A.Decreasing
B.Cannot be determined
C.Constant
D.Increasing
Correct Answer: Decreasing
Explanation:
The sum of exponents is , so the function exhibits decreasing returns to scale.
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38A production function shows which type of returns to scale?
returns to scale
Medium
A.Decreasing returns to scale
B.Increasing returns to scale
C.Negative returns to scale
D.Constant returns to scale
Correct Answer: Constant returns to scale
Explanation:
The exponents sum to , so doubling both inputs exactly doubles output, indicating constant returns to scale.
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39A production function is homogeneous of degree if . Increasing returns to scale correspond to:
returns to scale
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
When the degree of homogeneity exceeds 1, scaling all inputs by scales output by , meaning output rises more than proportionately, i.e. increasing returns to scale.
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40Which of the following is a primary cause of decreasing returns to scale?
returns to scale
Medium
A.Managerial and coordination difficulties as the firm grows
B.Economies of bulk purchasing
C.Indivisibility of factors
D.Increased specialisation of labour
Correct Answer: Managerial and coordination difficulties as the firm grows
Explanation:
Decreasing returns to scale arise mainly from managerial diseconomies, such as coordination and control problems as scale expands. The other options are sources of increasing returns.
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41A short-run production function is given by . At what level of labor does the marginal product of labor reach its maximum?
production function with one and two variables inputs
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
. Maximizing requires , giving . Beyond this point the law of diminishing returns sets in.
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42For the production function , average product of labor is maximized at the level of where:
production function with one and two variables inputs
Hard
A.
B.
C. is minimum
D. is maximum
Correct Answer:
Explanation:
is maximized at , and at that point . Geometrically, intersects at 's maximum.
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43Which statement about the relationship between total, average, and marginal product is correct?
production function with one and two variables inputs
Hard
A. implies is maximum
B. maximum coincides with maximum
C. implies is rising
D. implies
Correct Answer: implies is rising
Explanation:
When marginal product exceeds average product, each additional unit pulls the average up, so rises. is maximum when , not when , and stays positive even when is negative.
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44A firm's production function is . The stage of production that a rational firm avoids for a variable input begins where:
production function with one and two variables inputs
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Stage III begins where . gives . Beyond this, additional labor reduces total output, so a rational firm never operates here.
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45The elasticity of production (output elasticity) with respect to labor equals unity precisely when:
production function with one and two variables inputs
Hard
A. is maximum
B.
C. is minimum
D.
Correct Answer:
Explanation:
Output elasticity . It equals 1 when , which occurs at the maximum of , marking the boundary between Stage I and Stage II.
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46Given for a fixed capital stock, what is the marginal product of labor at ?
production function with one and two variables inputs
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
. At , .
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47An isoquant is convex to the origin because:
production function with two variables inputs
Hard
A.The marginal rate of technical substitution diminishes
B.Marginal products are constant
C.Returns to scale are constant
D.Inputs are perfect substitutes
Correct Answer: The marginal rate of technical substitution diminishes
Explanation:
Convexity reflects a diminishing : as more of one input replaces another, increasingly larger amounts are needed to maintain output, so the isoquant flattens moving down and to the right.
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48The marginal rate of technical substitution of labor for capital () is expressed as:
production function with two variables inputs
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Along an isoquant, , so . It measures capital given up per extra unit of labor.
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49For a Cobb-Douglas function , the equals:
production function with two variables inputs
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
and . Their ratio simplifies to .
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50A firm minimizes cost for a given output when:
optimal combination of inputs
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
At the optimum the isocost is tangent to the isoquant, so , which rearranges to equal marginal product per rupee across inputs: .
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51At its current input mix a firm finds and . To reduce cost for the same output, it should:
optimal combination of inputs
Hard
A.Reduce both inputs equally
B.Use more labor and less capital
C.Keep the mix unchanged
D.Use more capital and less labor
Correct Answer: Use more labor and less capital
Explanation:
Labor yields more output per rupee (). Shifting spending toward labor and away from capital raises output per rupee overall until the ratios equalize, lowering cost for the given output.
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52The expansion path of a firm traces:
optimal combination of inputs
Hard
A.The locus of maximum output points
B.Points where
C.Optimal input combinations as output changes with fixed prices
D.The set of all isocost lines
Correct Answer: Optimal input combinations as output changes with fixed prices
Explanation:
The expansion path connects successive tangency points between isoquants and parallel isocost lines, showing least-cost input combinations for varying output levels when input prices are held constant.
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53Given , , , the least-cost combination to produce requires equal to:
optimal combination of inputs
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
, so . With , ; substituting gives , .
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54If input prices are equal () but the isoquant is a straight line with slope , the firm's optimal choice is to:
optimal combination of inputs
Hard
A.Use only capital
B.Use a tangency mix of both
C.Use only labor
D.Use equal amounts of both
Correct Answer: Use only labor
Explanation:
With perfect substitutes, , meaning labor delivers more output per rupee. The firm specializes entirely in labor (a corner solution).
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55The production function exhibits:
returns to scale
Hard
A.Increasing returns to scale
B.First increasing then decreasing returns
C.Decreasing returns to scale
D.Constant returns to scale
Correct Answer: Decreasing returns to scale
Explanation:
For a Cobb-Douglas function, the sum of exponents indicates returns to scale. Here , so doubling both inputs less than doubles output: decreasing returns to scale.
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56A function displays which returns to scale?
returns to scale
Hard
A.Decreasing returns to scale
B.Variable returns to scale
C.Increasing returns to scale
D.Constant returns to scale
Correct Answer: Constant returns to scale
Explanation:
Scaling inputs by : . Output scales exactly in proportion, so it is homogeneous of degree 1 with constant returns to scale.
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57For , doubling both inputs changes output by a factor of approximately:
returns to scale
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Degree of homogeneity is . Doubling inputs multiplies output by , reflecting increasing returns to scale.
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58Which best distinguishes returns to scale from the law of returns to a factor?
returns to scale
Hard
A.Both concepts hold all inputs fixed
B.Returns to scale vary all inputs; returns to a factor vary one input
C.Returns to scale applies only to labor
D.Returns to scale is short-run; returns to a factor is long-run
Correct Answer: Returns to scale vary all inputs; returns to a factor vary one input
Explanation:
Returns to scale is a long-run concept where all inputs change proportionately, while the law of returns to a factor (diminishing returns) is short-run, varying one input with others fixed.
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59A production function shows increasing returns to scale at low output and decreasing returns at high output. This is best explained by:
returns to scale
Hard
A.Economies then diseconomies of scale
B.Diminishing marginal product of labor
C.A constant MRTS
D.Perfectly substitutable inputs
Correct Answer: Economies then diseconomies of scale
Explanation:
Initially, specialization and indivisibilities generate economies of scale (increasing returns). As scale grows further, managerial and coordination difficulties create diseconomies, producing decreasing returns.
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60For a homogeneous production function of degree , Euler's theorem states that equals:
returns to scale
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Euler's theorem for a function homogeneous of degree gives . Under constant returns (), inputs paid their marginal products exhaust total output.
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