Suppose that each firm in a perfectly competitive market has a cost of TC = 75 + 500Q - 5Q2 + 0.5Q3 Calculate the output that minimizes the firm's AVC.
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Suppose that each firm in a
Calculate the output that minimizes the firm's
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- Consider the market for ice cream. Suppose that this market is perfectly competitive. The cost structure of the typical ice cream producer is as follows. Average total cost is equal to 50 1 1 ATC(Q) +÷Q, average variable cost is equal to AVC(Q) =;Q, and marginal cost is equal to 2 MC(Q) = Q. Now, suppose that a new scientific study comes out that shows that soil pollution from rock salt (a key input for making ice cream) is extremely hazardous to human health. In response, the government decides to impose harsh re-zoning restrictions on any land once used for making ice cream. This reduces the market rent for land used to make ice cream, which in turn lowers the opportunity cost of operating an ice cream factory. This reduction in the opportunity cost of capital causes the total fixed cost of ice cream production to fall to 32, but there is no change to variable cost. Give formulas for the typical ice cream producer's new average total cost curve ATC(Q) and marginal cost curve MC(Q).Suppose that the market for microwave ovens is a competitive market. The following graph shows the daily cost curves of a firm operating in this market. Hint: After placing the rectangle on the graph, you can select an endpoint to see the coordinates of that point.depict a ATC curve, one where the firm has negative profits(π < 0) at the profit maximizing output of 1000. Add an additional average cost curve that will allow you to determinewhether to shutdown or keep producing at Q = 1000.
- A Los Angeles firm uses a single input to produce a recreational commodity according to a production function f(x)=4x1/2, where x is the number of units of input. The price of the commodity is $100 per unit, and the input cost is $50 per unit. The fixed costs are zero. A: Write down the firm’s profit function. C:Find the profit maximizing amounts of input and output. What is the maximum profit? C:Suppose that the firm is taxed at $20 per unit of its output (note it is a quantity tax) and the price of its input is subsidized by $10 per unit. What is the new input and output levels? What is the new maximal profit?The graph below shows a particular firms marginal revenue (mr) marginal cost (mc) and average total cost (atc) curves, where the market is competitive. Suppose that a new management team is brought in and that this team is initially less concerned about maximizing profits than it is simply about making a profit. What range of production quantities will allow the firm to operate while earning a profit? Give you're answer by dragging the qmin to Qmax lines into their correct positions. The output will need to lie somewhere between those limits.Consider the following graph of the average and marginal cost functions for a firm in a perfectly competitive market. At a price of P=10: (iii) the marginal cost of production is . (iv) the firm's total profit is . (v) the firm's variable profit is .
- Suppose that the market for microwave ovens is a competitive market. The following graph shows the daily cost curves of a firm operating in this market. PRICE (Dollars per oven) 100 90 80 70 40 30 20 10 0 0 5 0 MC ATC AVC 10 15 20 25 30 35 QUANTITY (Thousands of ovens) 40 45 50 (?)What happens to a competitive firm whose cost function exhibits decreasing marginal cost everywhere? Construct a concrete cost function of this type and carry out the search for the profit-maximizing output.Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + 0.5Q^2The market demand curve for this product is: Qd= 120 −PThere are 9 firms in the market.a) What are each firm’s: fixed cost, variable cost, marginal cost, and average total cost? Graph the average-total-cost curve and the marginal-cost curve.b) Give the equation for each firm’s supply curve.the average-total-cost curve at its minimum? What is marginal cost and average totalc) Give the equation for the market supply curve for the short run in which the numbercost at that quantity?
- The total cost of a firm is TC(Q)=3Q2+4Q+37. Suppose its current output level is 7. Find its ATC.Refer to the accompanying figure. If the market for doughnuts is perfectly competitive, then assuming this firm can earn enough revenue to cover its variable cost, it should produce: Price (S/doughnut) 0.35 p 0.30 0.25 0.20 0.15 0.10 0.05 0 0 10 20 30 40 50 60 Marginal Cost 70 80 90 Quantity (doughnuts/day) Average Total Cost 50 doughnuts per day. the quantity of doughnuts at which average total cost is minimized. the quantity of doughnuts at which average total cost equals the market price. the quantity of doughnuts at which marginal cost equals the market price.Suppose there are 5 firms in this industry, each of which has the cost curves previously shown.
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