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- Exercises: 1 Given the demand (price) and cost functions P=2000-40Q and C(Q) = 3000+400Q respectively, find the following, using the calculus approach: a. Profit-maximizing output (quantity) b. Profit-maximizing price c. Maximum profit value d. Revenue maximize QuantityA competitive firm has following SHORT RUN cost function: C = 4 + 2q3- 4q2 + 20q Answer:(a) Obtain in a table average total cost (ATC), average variable (AVC) and marginal costs (MC). Plot on a graphb) In what price interval will firm offer zero output? Identify on your graphc) Identify the supply curve in graphd) At what price will firm offer exactly 8 units?Bavarian Crystal Works designs and produces crystal wine decanters for export to international markets. The marketing manager of Bavarian Crystal Works estimates the demand curve for each month to be: P=1,000-0.0025Q Where Q is the number of wine decanters produced monthly. Bavarian Crystal Works also pays a lease for its factory and equipment every month in the amount of $1,000,000. Finally, the cost to produce each wine decanter is $200. What quantity would maximize profits? What is the optimal price for Bavarian Crystals to charge?
- Indicate which statement is true and which is false. If false explain the reason behind it. Merely saying it is a “false” statement is not sufficient.(c) Water is less valuable than diamond, because of its low use-value. (d) Indifference curve is downward sloping when one good provides you utility and the other gives disutility. (e) In short run, perfectly competitive firms shut down if price is below average variable cost.1. The demand equation of a good is P+Q=30 and the total cost function is TC=1/2Q+6Q+7 a) Find the level of output that maximizes total revenue, b) Find the level of output that maximizes profit.A firm's faces a constant output price of $5. It produces 37 units and incurs a MC of $3. Which of the following is true? Select all that apply. A. The firm is perfectly competitive because it faces a horizontal straight line demand curve. B. The firm is perfectly competitive because it faces a horizontal straight line Average Revenue graph. C. The firm's marginal revenue is $5. D. The firm's Total Revenue equals $185. E. The firm's Total Cost equals $111.
- A profit-maximizing firm in a competitive market is currently producing 100 units of output. It has average revenue of $10, average total cost of $8, and fixed cost of $200.\a. What is its profit?b. What is its marginal cost?c. What is its average variable cost?d. Is the efficient scale of the firm more than, less than, or exactly 100 units?Q: determine whether the following statements are true or false: a) Average fixed costs increase when the total volume of the produced goods increases. b) If the market price is constant, the increase in output will not affect the size of the firm's profit.KK ltd produces goods for sale. From trend analysis the management accountant established a demand function of the product to be P=40−1.5q, where P is the unit selling price and q is the quantity in thousands. The enterprise has been producing under the cost TC=q2+10q+50, where TC is the total cost in thousands of cedis.Required3. At what quantity does the firm break even? 4. Calculate the price elasticity of demand at the point and explain your answer
- A firm has the following demand and average total cost functions: Q = 30 − PATC =7/Q− 6 +1/2 Q Find the level of output that will maximize revenue and minimize total cost and the profit function and the level of output that maximize profitsa) What is the fixed cost? b) Assume the firm can not make any excess profit and instead aims to sales maximise. Calculate the price and quantity at that point c)Find the profit maximising price and quantity d)Calculate the total profit using the Total cost and Total revenue functions. e)Find the Consumer surplus using integration. You must show the integral before inputting numbers.the following demand and cost functions P is selling andQ is quantity in thousands P=30-2Q TC=Q+5Q-30 Find the output at which profit is maximized.