Exam 7: Production Cost: Many Variable Inputs

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If doubling all inputs less than doubles the level of output, then the production function exhibits what type of returns to scale?

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Cost minimization requires:

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A producer has two alternative techniques to produce a unit of output out of labour. In the first, the production function is given by y1(l1)=l10.5, and in the second it is given by y2(l2)=2l20.5. The cost function c(y,w)of the producer gives the minimal expenditure required to produce a given total amount of y of the output (i.e.: y1 +y2 =y)at input price w. a)Set up the cost minimisation problem and solve for the optimal choice of l1 and l2 as a function of the required output. Finally, derive the cost function for the producer. b)Determine the firm supply under price- taking behaviour of the firm as a function of p and w. c)Finally, suppose that p=10 and w=5. Determine the profit- maximising quantity produced and the associated level of profits.

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Two fuels suitable for heating a building are:

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Any input bundle on an isocost curve yields a higher output than any point below the isocost curve.

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The marginal rate of technical substitution is the absolute value of the slope of

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Floppy Corp produces software using two inputs, large (700 MB)discs, L, and small (210 MB)minidiscs, S. Its production function is given by: Q = (L/2)+ S where Q is output. i)Does the production function exhibit constant, increasing, or decreasing returns to scale? ii)Draw isoquants for Q = 2 and Q = 3. What is the firm's marginal rate of technical substitution? iii)Suppose small disks cost $3 each and large disks cost $1 each. How many of each type of disk will Floppy Corp use to produce Q = 2? Q = 3? iv)What is the firm's cost function when small disks cost $3 and large disks cost $1?

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For the production function f(z1,z2)= min(z1,z2), z1 and z2 are:

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Figure 7A Figure 7A   -The optimum combination of inputs in Figure 7A is given by: -The optimum combination of inputs in Figure 7A is given by:

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If a production function is homothetic, the MRTS:

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A union has hired you as a consultant to help them in negotiations with the management. While layoffs have been occurring in other industries as capital prices have fallen, these workers feel their jobs are secure. Using the concept of the marginal rate of technical substitution, explain to the union why its belief is incorrect.

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When the minimum wage rises in a competitive labour market, the number of jobs available to workers qualified for such jobs:

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If a production function exhibits increasing returns to scale, a 10% increase in:

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For homothetic production functions, the scale factor determines the:

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When returns to scale are decreasing, long run marginal cost is:

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Figure 7A Figure 7A   -Point B in Figure 7A is: -Point B in Figure 7A is:

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Which of the following is not true of a homothetic production function?

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If a firm's production function is f(z1,z2)= z1 + z2, z1 and z2 are:

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If a firm's production process fits the standard stylization, as its scale increases, its marginal and average output:

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Relative to some specific level of output, a feasible input bundle is:

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