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- A firm has the following revenue and cost functions. TR= 120 Q - Q² TR= ½ Q² + 30 Q + 10 Determine the quantity level at which the firm maximizes it's total profit. ( Hint ;use marginal revenue=marginal cost) (300 word with working)Consider the following cost function: Total Cost = 50+5Q^3 and demand curve Price= 5000-275*Q Given these functions, what would be the profit maximizing output?The cost function for Acme Laundry is C(q)=50+30q+q2, where q is tons of laundry cleaned. What q should the firm choose so as to maximize its profit if the market price is p?
- Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by C(x) = 70 + 0.10x + 0.001x2 dollars. (a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.] R'(x) = P'(x) = (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition. revenue $ profit $ marginal revenue $ per additional copy marginal profit $ per additional copy Interpret the results. The approximate from the sale of the 501st copy is $ . (c) For which value of x is the marginal profit zero?x = copiesInterpret your answer. The graph of the profit function is a parabola with a vertex at x = , so the profit is at a maximum when you produce and sell copies.A firm sells its product in a perfectly competitive market where other firms charge a price of $110 per unit. The firm estimates its total costs as C(Q) = 70 + 14Q + 2Q2. Thus, the marginal costs are MC(Q) = 14 + 4Q. How much output should the firm produce in the short run?If a firm is producing at a quantity in which the marginal cost exceeds marginal revenue, the firm _____.
- Market demand is P = 50 -2Q. Firm has cost function TC(Q) = 5 + 2Q + Q^2. Can firm function as a price taker?Suppose the market 4 carat is competitive a typical farmer has a cost function of C=2q3-18q2+1,000q If the prevailing market price is $1000 find the profit maximizing output level.Suppose the total cost to produce quantity q is TC(q) = 10 + q^2/10, and hence, marginal cost is MC(q) = q/5. If this firm is a price-taker and the market price is p = 10 and its fixed cost is sunk, then the firm's profits will be:
- Kenan's stationary shop operates in a perfectly competitive market where the price for a pen (his only product) is $3. If the marginal cost function is MC=0.1q: (i) The profit-maximizing level of output is _____ (ii) The variable profit is _____ (iii) The producer surplus is _____ If Kenan also has a fixed cost of $50, then: (iv) The total profit is _____ If Kenan cannot avoid the fixed cost, Kenan should _____ Answer options (please only select from the following): -5, 0, 3, 5, 10, 30, 45, 50, continue to produce, shut down, otherSuppose an avocado farm has cost: C = 0.002q3 + 22q + 750 (where q is measured in bushels). Marginal cost is: MC = 0.006q2 + 22. The market price per bushel of avocados is $46. In the short-run, this firm's profit is In the short-run, this firm's profit is enter your response here. (Round your response to the nearest penny.)The cost function for Acme Laundry is: TC(q)=10+10q+q^2 so its marginal cost function is: MC(q)=10+2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?
