15. Assume that an entrepreneur's short-run total cost function is C = q3 – 10q? + 17q + 66. Determine the output level at which he maximizes profit if p = 5. Compute the output elasticity of cost at this output.
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- Assume that an entrepreneur’s short-run total cost function is C = 10q^2 + 15.Determine the output level at which he maximizes profit if p = 5.Suppose a firm’s short-run cost curves were found to be: Total Cost = SRTC = 1 + 2Q + Q2 Marginal Cost = SRMC = 2 + 2Q, Where Q is output. Assume the firm behaves as a price taker and sells its output at P = K8 per unit. (a) If the firm maximizes profits, how much will it produce? (b) What are the marginal, average and total cost at that point? (c) What is the firms’ profit?Tex has a small plant that produces storm windows. Its total revenue function is ?? = 5.4?, and the total cost function is ?? = 30 + 3? + 0.03?2 What is the profit maximizing output for Tex? Show your work. What is his selling price? How much profit is he making? Now assume that Tex has fixed costs of only 5. With this different information, answer parts (a) and (b). How have fixed-cost changes influenced Tex's production decisions? Now assume that Tex has fixed costs of 55. How would your answer change to part (c)?
- Bitcom, a manufacturer of electronics, estimates the following relation between marginal cost of production and monthly output: MC= $150+ 0.005Q What does this function imply about the effect of the law of diminishing returns on Bitcom’s short-run cost function? Calculate the marginal cost of production at 1,500, 2,000, and 3,500 units of output. Assume Bitcom operates as a price taker in a competitive market. What is this firm’s profit-maximizing level of output if the market price is $175? Compute Bitcom’s short-run supply curve for its product. Provide a 100 word summary of how this can be applied to the current economy. Show Calculations and can it be done in Excel?The total cost function of a perfectly competitive firm is TC=100+10*Q+5*0^2 For what time period does the function apply? What is the equation of the marginal cost function? If the market price is 50, what is the optimal production quantity of the firm? What is the value of total revenue at the profit maximum? What is the value of total cost at the profit maximum? Will be negative or positive value of the profit at the profit maximum? In the short run, does the company decide to produce (at profit max level)? Which minimum value indicates the shutdown point? Use the following set of options to answer the above questions: long run 100 short run AVCmin ACmin maybe 4 220 positive yes MCmin no 100 years 10+5*Q 200 10+10*Q Qmin