Suppose a firm has the following total cost function TC = 100 + 2q2. If price equals $20, what is the firm’s output decision? What are its short-run profits
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Suppose a firm has the following total cost function TC = 100 + 2q2. If price equals $20, what is the firm’s output decision? What are its short-run profits?
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- 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 cost function for a firm is given by C(Q) = 5+q^2. If the firm sells output in a perfectly competitive market and other firms in the industry sell output at a price of $20, what price should the manager of this firm put on the product? What level of output should be produced to maximize profits? How much profit will be earned?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?
- 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?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?A competitive firm has a single factory with the cost function C(q) = 3q2 + 62 and produces 25 units in order to maximise profits. Although the price of output does not change, the firm decides to build a second factory with the cost function C(q) = 7q2 + 44. To maximise its profits, how many units should it produce in the second factory?
- Consider a firm with the following cost function: C (q) = 4q^2 + 100 Find the long-run supply and the short-run supply of the firm, under the assumptions that the total cost function is the same in the long and in the short run, but the xed cost is sunk in the short run.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,A) What level of output should the firm produce to maximize profits or minimize losses?B) What are the profits at the optimal output amount? C) Should the company produce this optimal amount or should it shut down?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 market price a perfectly competitive firm has to take is pm and the total cost to the firm is TC(Q)=aq+Bq2 +y , where y is fixed cost of the firm . Find the optimal output to the firm in terms of market price pm. Express also maximum profit. How does maximum profit depend on the market price and the level of fixed cost? All parameters are assumed to be positive.?Should a firm shut down if its weekly revenue is $1,000, its variable cost is $500, and its fixed cost is$800, of which $600 is avoidable if it shuts down? Explain.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.
