Consider a profit-maximizing, perfectly competitive firm that faces a market price equal to $10. Let Q* = 10 denote the (positive) quantity that satisfies the equation P = MC(Q*), and suppose that AVC (Q*) = 5, ATC (Q*) = 8, and MC(Q*) = 10. Then the firm's maximized profits equal: $0 $20 $30 $50 $80 $100
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- Assume a competitive firm faces a market price of $200, C = 13q3 + 4q + 750 MC = q2 +4 Profit maximizing output = 14 What is the firm's profit maximizing price?A firm's profit function is T(q) = R(q) – C(q) = 40q – (35 + 20q + - 10q²). What is the positive output level that maximizes the firm's profit (or minimizes its loss)? What is the firm's revenue, variable cost, and profit? Should it operate or shut down in the short run? The output level at which the firm's profit is maximized is q =. (Enter your response as a whole number.) At this level of output, the firm's revenue (R) is $ (Enter your response as a whole number.) At the profit-maximizing level of output, the firm's variable cost (VC) is $ - (Enter your response as a whole number.) Profit (T) is $ (Enter your response as a whole number and include a minus sign if necessary.) The firm should produce in the short run.Consider a competitive firm that has the cost function, TC(Q) and faces the demand P = P(Q), that is, the inverse demand function with price as a function of quantity. Write down the profit function of the firm. Show that the MR=P(1+1ϵd)MR=P(1+1ϵd) Show that ϵd=PMR−Pϵd=PMR−P. Assuming a linear demand function, P=a−bQP=a−bQ, find the MR function. Draw both the demand and the MR curves. Using the expression ϵd=PMR−Pϵd=PMR−P, locate the point on the demand curve where ϵd=1ϵd=1. Also, indicate the regions where the demand is inelastic and elastic. Please try to type your answers and mathematical equations using the icon as highlighted in the following image.
- The table below shows the average cost (AC) for a purely competitive market. The average revenue (AR) is constant at RM5 per unit and the firm’s total fixed cost (TFC) is RM4. If the average revenue falls to RM3 per unit, calculate the firm’s new profit or loss at the equilibrium. Based on your answer, should the firm continue or stop the production? Justify. Output (Units) Total Revenue (RM) Average Cost (RM) Total Cost (RM) Marginal Cost (RM) Marginal Revenue (RM) 1 8.0 2 5.5 3 4.0 4 3.5 5 3.8 6 4.5 7 6.0The TC function of a perfectly competitive firm that sells its good at the price (P) = $4 is: TC = 0.04Q3 -- 0.9 Q2 + 10Q + 5 Determine the best level of output for the firm. Find the level of profit at the best level of output of the firm. Draw a Figure of your answer to part (a) and (b).QUESTION 21 Questions 21-25 relate to the following information. Suppose a firm faces demand function p(q)-200-g, and has cost function C(q)= 100+ 3q² Construct the profit function, R(q)-C(q). Assuming that the y axis measures profits/dollars, at what dollar amount does the profit function intersect the y axis? (Enter a single number, without dollar signs.) What quantity maximizes profit? Hint: find the value of q at the turning point. 25 What is (maximum) profit at this turning point? (Do not include dollar signs.) 2400
- A firm's profit function is T(q) = R(q) – C(q) = 120q - (325 + 20q + 10q?). What is the positive output level that maximizes the firm's profit (or minimizes its loss)? What is the firm's revenue, variable cost, and profit? Should it operate or shut down in the short run? The output level at which the firm's profit is maximized is q =. (Enter your response as a whole number.) At this level of output, the firm's revenue (R) is S (Enter your response as a whole number.) At the profit-maximizing level of output, the firm's variable cost (VC) is S (Enter your response as a whole number.) Profit (x) is $ (Enter your response as a whole number and include a minus sign if necessary) The firm should V in the short run, produce shut downConsider the following cost curve for a firm in a competitive industry where the market price equals $150. C= =q° + 6q + 1,500. What is the firm's marginal cost (MC)? MC = 150. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ character.) At what level of output does the firm maximize profits (minimize losses)? Profit is maximized at 12 units of output. (Round your answer to two decimal places.) What is the firm's profit maximizing price? The profit-maximizing price is $ (Round your response to the nearest dollar.) What is the firm's profit? The firm earns a profit of $. (Round your response to the nearest penny.) In the short-run, this firm should shut down produce DEG tv 20 MacBook Air PII SO F11 F12 FS F10 F9 F6 F7 F2 F3 F4 & #3 $ 4 6 7 8 - 2 3 { E R Y P Q А F G H J K L D ? C V M command option command .. .- レ Λ.Consider a company that operates in a competitive market, with a typical set of cost curves (Marginal Cost, Average Variable Cost, Average Fixed Cost and Average Cost with typical formats of Microeconomics theory). Consider further that Marginal Costs coincide with Average Total Costs when the firm's output is 200 units of output, at a market price of 50. If market prices fall to 40, the company will produce 180 units of product to maximize its profit. If at this point the Average Fixed Costs per unit of output equals 27 per unit of output, what are your recommendations for this company in the short term? And in the long run?
- Assume that marginal revenue equals rising marginal cost at 100 units of output. At this output level, a firm's average total cost is $11 and its total variable cost is $600. If the price of the product is $3 per unit and the firm follows its optimal strategy, the firm will earn an economic profit equal toThe graph below shows a competitive firm's demand and cost curves. Assume that the firm produces at the profit-maximizing output level. What is the firm's profit? [Recall that in perfect competition a firm’s demand curve is a horizontal line drawn at the market price level and that P=MR=D.] Group of answer choices $144 $720 $576A firm's profit function is (q) = R(q) - C(q) = 140q-(410+20q+10q²). What is the positive output level that maximizes the firm's profit (or minimizes its loss)? What is the firm's revenue, variable cost, and profit? Should it operate or shut down in the short run? The output level at which the firm's profit is maximized is q = (Enter your response as a whole number.) At this level of output, the firm's revenue (R) is $. (Enter your response as a whole number.) At the profit-maximizing level of output, the firm's variable cost (VC) is $ Profit (x) is $. (Enter your response as a whole number and include a minus sign if necessary.) The firm should in the short run. (Enter your response as a whole number.)