Suppose that q = 40, L = 5, and K = 10 is a point on the production function q=f(L, K). Is it posssible for q = 40, L=5, and K= 11 to also be a point on this production function? Why or why not? The combination q =40, L=5, and K=11 O A. cannot be a point because we assume production functions are comprised of fixed inputs. O B. can be a point because we assume production functions hold technology constant. C. cannot be a point because we assume production functions are efficient. O D. cannot be a point because we assume production functions represent the short run. E. can be a point because we assume production functions exhibit diminishing returns.

Use the following production function Q=1.25K0.3L0.5 where the price of Q is $10, the wage paid to labor L is $15 and rental rate for capital K is $30. Assume you can only use 6 units of capital L. What output will the firm produce? 2 2.65 3 00 O 3.65

4. A firm producing cars. The production function for shoes (Q) is: Q = K2 L2 where K is capital and L is labor. The price of K is $8 and the price of L is $2. a. What type of production function is this? b. Does this production function exhibit constant, increasing or decreasing returns to scale? Explain. c. What is the average product of capital, average product of labor, marginal product of capital, and marginal product of labor?

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6. Duane breeds parrots for a living. He has discovered that the production function for parrot chicks (Q) is: Q = K2 L12 where K is capital (for example nest boxes, cages and the like) and L is parrot food. The price of K is $8 and the price of L is $2. a. What type of production function is this? b. Does this production function exhibit constant, increasing or decreasing returns to scale? Explain. c. What is the average product of capital?

In the Cost Minimization Problem, the isoquant curve for an output level equal to the output quota? Illustrates the cost of labor and capital a firm pays to produce a level of output in excess of an output quota. Illustrates all combinations of labor and capital that a firm cannot afford. Illustrates all combinations of labor and capital that a firm can afford. O Illustrates all combinations of labor and capital that a firm can use to produce a level of output equal to the output quota.

uppose a Cobb-Douglas Production function is given by the following:P(L,K)=60L^0.8K^0.2where LL is units of labor, KK is units of capital, and P(L,K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $900 and each unit of capital costs $3,600. Further suppose a total of $900,000 is available to be invested in labor and capital (combined).A) How many units of labor and capital should be "purchased" to maximize production subject to your budgetary constraint?Units of labor, LL = Units of capital, KK = B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.)Max production =  units

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Consider the production function: Q = L1/4 K 3/4 Does this production show increasing, decreasing, or constant returns to scale? Show your work. I. II. Derive an expression for the marginal product of labor. Ш. Show mathematically whether the marginal product of labor is increasing, decreasing, or constant, as the labor input is increased. IV. Derive the average product of labor. Explain whether the average product of labor is increasing, decreasing, or constant, as the labor input is increased.