In problems 7-8 you will start with a short run production function, and learn how to...
Suppose the short-run production function is q = 8L0.5. If the marginal cost of producing the 20th unit is $12, what is the wage per unit of labor?
Suppose that a firm has a production function given by: ? = ?^?.???^?.? . The wage rate is $18 and the rental rate is $9. 12. Suppose that the firm has 4 units of capital in the short run. Find the short run total cost function. ________________________________ 13. Find the marginal product of labor (MPL) function. ________________________________ 14. Solve the optimization condition for K and write that equation. ________________________________ 15. Suppose the firm wants to minimize the cost of producing...
Short Run Cost Curves: Consider two firms, producing different products, with the following production functions: q=5KL (1) q=5(KL).5 (2) a. For a short-run situation in which K=100, and given wage = 3 and cost of capital = 1, derive expressions short run total cost for each production function. (Start by using the production function to develop an expression for L in terms of q, and then substitute that, and the given parameters, into the generic expression for Total Cost =...
Suppose in the short run a firm’s production function is given by Q = L1/2*K1/2, and that K is fixed at K = 49. If the price of Labor, w = $6 per unit of Labor, what is the firm’s Marginal Cost of production when the firm is producing 28 units of output?
Suppose in the short run a firm’s production function is given by Q = L1/2*K1/2, and that K is fixed at K = 36. If the price of Labor, w = $12 per unit of Labor, what is the firm’s Marginal Cost of production when the firm is producing 48 units of output? MC = ________________________
5) A firm producing hockey sticks has a production function given by F(L,K) = 2 LK . In the short-run, the firm's amount of capital equipment is fixed at K = 100. The rental rate of capital is r=$1, and the wage rate of labor is w=$4. a. Derive the firm's short-run total cost curve. What is the short-run average total cost? What is the short-run average variable cost? b. Find the short-run marginal cost function. What are the total...
Suppose the production function is given as ? = √??. Suppose also that the price of labor ? = 10 and the price of capital ? = 40 1) Derive the equation of the isoquant corresponding to this production function? 2) What type of return to scale does this production exhibit? 3) Does this production function exhibit a diminishing MRTS? Why? 4) Based on this production function, is the law of diminishing marginal returns satisfied? 5) Derive the demand curves...
Suppose the production function is given as Q = VLK. Suppose also that the price of labor w = 10 and the price of capital r = 40 1) Derive the equation of the isoquant corresponding to this production function? 2) What type of return to scale does this production exhibit? 3) Does this production function exhibit a diminishing MRTS? Why? 4) Based on this production function, is the law of diminishing marginal returns satisfied? 5) Derive the demand curves...
Labor Total product (workers) (wands per day) The table above shows Randy's Wands' short-run production function. Randy hires workers at a wage rate of $120 a day and his total fixed cost is $400/day. a) What is the marginal product of the 3rd worker? b) What is Randy's average fixed cost if 25 wands are produced? c) What is Randy's average variable cost if 60 wands are produced? d) What is Randy's marginal cost of producing the 35th wand? e)...
Consider that the short-run production function for meat-packaging firm is q=20.5. If the marginal cost of producing the 10th unit is S5, then one can conclude that the wage per unit of laboris $0.05. O $0.25 cannot be determined without additional information $1.00