Question

In: Economics

Q- A firm’s short-run cost function for the production of gizmos is given by the following...

Q- A firm’s short-run cost function for the production of gizmos is given by the following expression: C(y) = 10y2 + 200y + 100 000. Draw the cost function C(y) and calculate;
A- Calculate the range of output over which it would be profitable for this firm to produce gizmos if it can sell each gizmo for $2400. Calculate the value of the output that maximizes this profit. Calculate the value of maximum profit
B- Repeat these calculations and explain your results for the case in which the short-run cost function is given by C(y) = 10y2 + 200y + 200 000

Solutions

Expert Solution


Find the Profit function by subtracting, Total Revenue from total cost and solve for Profit greater than zero and for maximization, Differentiate the Profit function with respect to output and equate it to zero.


Related Solutions

Explain the relationship between a firm’s short-run production function and its short-run cost function. Focus on...
Explain the relationship between a firm’s short-run production function and its short-run cost function. Focus on the marginal product of an input and the marginal cost of production. (p. 283 #3
7.  Suppose your firm’s short-run production function is given as                              &nbs
7.  Suppose your firm’s short-run production function is given as                                       Labor                                      Total Output                                           0                                                   0                                           1                                                   5                                           2                                                  12                                           3                                                  20                                           4                                                  28                                           5                                                  34                                           6                                                  39                                           7                                                  43                                           8                                                  46 Assume that labor can be hired for $50 per worker and that your fixed cost is $1,000.      a.  What is the total variable cost of producing 5 units of output?      b.  What is the average variable cost of producing 12 units of output?      c.  What is the total cost of producing 20 units of output?      d.  What is the average total cost of producing...
9.     a. Suppose that a firm’s production function is q=9x^1/2 in the short run, where there...
9.     a. Suppose that a firm’s production function is q=9x^1/2 in the short run, where there are fixed costs of $1000, and x is the variable input whose cost is $4000 per unit. What is the total cost of producing a level of output q? In other words, identify the total cost function C(q). b.   Write down the equation for the supply curve. c.   If price is $1000, how many units will the firm produce? What is the level of...
The short-run production function for sea kayaks is given by Q = 30L^0.5 (read as Q...
The short-run production function for sea kayaks is given by Q = 30L^0.5 (read as Q = 30 times L taken to the power of 0.5), where Q is the number of sea kayaks produced and L is the number of employees. Complete this table and round all answers to two decimal points: L Q MPL APL 0 1 2 3 4 5 6 7 In this space, graph the short-run production function, show labels! In this space, graph the...
Short Run Cost Curves: Consider a firm with the following production function: q=(KL)/20 a. For a...
Short Run Cost Curves: Consider a firm with the following production function: q=(KL)/20 a. For a short-run situation in which K=10, wage = 4 and cost of capital = 1, derive expressions for short run total cost and short run average cost for this production function. b. Plot the short-run total cost curve and label it “TC1”. Now suppose that the cost of capital goes up to 2. (Continue to assume we’re in the short run and K can not...
Explain the relationship between a firm’s short-run production function and its shortrun cost function. Focus on...
Explain the relationship between a firm’s short-run production function and its shortrun cost function. Focus on the marginal product of an input and the marginal cost of production. b) A U.S. electronics firm is considering moving its production to a plant in Mexico. Its estimated production function is q=L 0.5 K 0. 5 . The U.S. factor prices are In Mexico, the wage is half that in the United States, but the firm faces the same cost of capital: ?...
A firm produces gizmos according to the production function Q =10KL , where Q is the...
A firm produces gizmos according to the production function Q =10KL , where Q is the quantity of gismos produced, K is the quantity of capital rented and L is the quantity of labour hired. The manager has been given a production target: Produce 9,000 gizmos per day. He is informed that the daily rental price of capital is $400 per unit and the wage rate is $200 per day. a) Currently, the firm has 10 units of capital. How...
A) Suppose that your production function is: q = L∙K + K. Find the short-run cost...
A) Suppose that your production function is: q = L∙K + K. Find the short-run cost function.
1. Consider the following table that provides information for a firm’s short-run production function and its...
1. Consider the following table that provides information for a firm’s short-run production function and its product demand, given by the column labeled D1. Labor Output Price (D1) 0 0 $10.00 1 16   10.00 2 31   10.00 3 45   10.00 4 58   10.00 5 69   10.00 6 78   10.00 Based on that information, calculate Total Revenue (TR), Marginal Revenue Product (MRP), Marginal Product of Labor (MP) and Value of the Marginal Product (VMP), then answer the following questions: Assume that...
The demand for gizmos is given by Q=2,000-100P and the supply of gizmos is given by...
The demand for gizmos is given by Q=2,000-100P and the supply of gizmos is given by Q=-100 + 200P. There is a $2/unit sales tax on gizmos. Who pays the tax? Who bears the economic burden of the tax? On a supply and demand graph, label the price that buyers pay, the price sellers receive, the tax incidence borne by buyers and sellers, and the deadweight loss associated with the tax.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT