A firm has revenue given by and its cost function is R(q) = 3409-3q² C(q) = 600 + 10q. What is the profit-maximizing level of output? What profit does the firm earn at this output level? The firm maximizes profit by producing q= (Enter your response as a whole number.)
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A firm has revenue given by and its cost function is R(q)= 3409-3q 1-3q² C(q) = 600 + 10q. level of output? What profit does the firm earn at What is the profit-maximizing this output level? The firm maximizes profit by producing (Enter your response as a whole number.)
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- Suppose that the manager of a firm operating in a competitive market has estimated the firm’s average variable cost function to be AVC = 10 – 0.03Q + 0.00005Q2, TFC = 60. What is the MC function? What is the output where AVC is minimum? What is the optimum profit?A firm's demand and total cost function are given by the expression: P = 20 - Q/2 (1) TC = 0.5Q2 + 36 (2) Where P is price per unit in £ TC = total cost in £ Q is quantity demanded and produced. Find the profit-maximising level of output using the profit function and calculate how much profit is made at this output level.Consider that a company has a total cost function TC = 3Q3+2Q2+6. a.What is the average and marginal cost function and what are their values ifQ = 8?b. If the (inverse) demand function facing the firm is P = 6 - 2Q, what value must the slope of the isobenefit curve take for the firm to maximize its profit? Indicate the generic condition as well.
- The total cost of a firm is TC(Q)=4Q2+6Q+34. Accordingly, its marginal cost is 2*4*Q+6 when its output is Q. Find the output level where the ATC is minimized.Suppose the firm achieves total revenue of $1,000 by selling 150 units while facing total costs of $900. If the firm produces and sells 151 units, its total revenue is $1,005, and its total costs are $950. Should the firm produce and sell the extra unit? Group of answer choices yes, since marginal profit is positive yes, since profits are positive no, since marginal profit is negative no, since marginal profit is positive You have recently learned that the company where you work is being sold for $1,000,000. The company's income statement indicates next year's profits of $30,000, which have yet to be paid out as dividends. Assuming the company will remain a "going concern" indefinitely and the interest rate will remain constant at 7%, at what (constant) rate does the owner believe that profits will grow? (Hint: the price the owner was willing to pay is the present value of the firm's future cash flows) Group of answer choices 6% 5% 4% 4.5%The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible. We have identical firms, each with a Total Cost curve of TC=376+91q+q^2 and Marginal Cost curve MC=[b]+2q. Market demand is Q=695-2P. What is the Average Total Cost if the firm produces 37 units?
- Suppose the marginal cost of producing x units of a product is given by: MC=4x+50 And the marginal revenue is given by: MR = 500 And the cost of the production and sale of 10 units is $1000. What is the profit function for this product ?Suppose a company's revenue function is given by R(q)=−q3+400q2R(q)=-q3+400q2 and its cost function is given by C(q)=550+12qC(q)=550+12q, where qq is hundreds of units sold/produced, while R(q)R(q) and C(q)C(q) are in total dollars of revenue and cost, respectively.A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q)=MP(q)= B) How many items (in hundreds) need to be sold to maximize profits? Answer: hundred units must be sold. (Round to two decimal places.)Suppose the cost function for a firm is given by C(Q) = 100 + Q2. If the firm sells output in a perfectly competitive market and other firms in the industry sell output at a price of $10, what level of output should the firm produce to maximize profits or minimize losses? What will be the level of profits or losses if the firm makes the optimal decision?
- The total revenue curve of a firm is R(q) = 40q − 12q2 and its average cost A(q) =1/30q2 − 12.85q + 20 +400/q, where q is the firms output. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? Determine the level of output for which the firms profit is maximized. What is the firm's maximum profit?It costs a coat manufacturer $8750 to make 125 coats and it costs $6500 to make 80 coats. Each coat is sold for $250. a. How much is the marginal cost? Round to two decimal places if rounding is necessary. Do not enter a fraction. There is a $ sign next to the answer box, so do not type a $ sign in your answer. Only type a number (do not type any units on your answer). $ b. What is the slope of the Profit function, P(x)? Round to two decimal places if rounding is necessary. Do not enter a fraction. There is a $ sign next to the answer box, so do not type a $ sign in your answer. Only type a number (do not type any units on your answer). $ c. How many coats must be sold in order to break even? Round to the nearest whole number if rounding is necessary. Do not enter a fraction. Only type a whole number (do not type any units on your answer).For a firm’s product, the demand function is p =72−0.04q and the average cost function is i. ¯ c = 500 q +30 i. At what level of output would profit be maximized? ii. At what price is the profit maximized?