Consider an industry with identical firms. Suppose the cost function of firm i, i=1,...,n, is given by C₁ (9₁) = 6 q₁² + 91 At a price P=100, how many units would the individual firm supply in order to maximize its profit? (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number. Don't round, even if rounding makes sense...)
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- Assume that a competitive firm has the total cost function: TC=1q3−40q2+880q+2000 T C = 1 q 3 - 40 q 2 + 880 q + 2000 Suppose the price of the firm's output (sold in integer units) is $550 per unit. Create tables (but do not use calculus) with columns representing cost, revenue, and profit to find a solution. How many units should the firm produce to maximize profit? Please specify your answer as an integer. What is the total profit at the optimal output level? Please specify your answer as an integer.Assume that a competitive firm has the total cost function: TC=1q3−40q2+820q+1900 T C = 1 q 3 - 40 q 2 + 820 q + 1900 Suppose the price of the firm's output (sold in integer units) is $600 per unit. How many units should the firm produce to maximize profit? What is the total profit at the optimal output level? Please specify your answers as integers.Given the cost information in the previous question and an industry demand function of Q = 2400 - 5p, how many firms are in this industry in the long-run equilibrium?
- Assume that a competitive firm has the total cost function: TC=1q3−40q2+820q+1900TC=1q3-40q2+820q+1900 Suppose the price of the firm's output (sold in integer units) is $650 per unit. Using tables (but not calculus) to find a solution, what is the total profit at the optimal output level? Please specify your answer as an integer.Explain why the alternative of the industry supply curve based on constant returns is not viable for Marshall’s theory of value.In a competitive market, the long-run demand is given by P = 20 - (0.01)*q Firms in the industry have as their cost structure the expression C = q3 - 5q2 + 10q. Determine: (a) equilibrium price b) Quantity produced-sold of the firm. c) What quantity is traded in the market? d) Over what time period does this market work? (short or long term?) e) What is the profit of the individual firm? f) What will be the behavior of the individual firm, will it exit or stay in the market?
- . Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + ½q2 and therefore MC = q. Assuming that the firm is a price-taker operating in a competitive market, derive an expression for the firm’s supply curve, (the profit maximizing output for the firm as a function of the market price, i.e., q S = f(p). Assuming the firm is one of 100 identical firms in the industry, what is the short-run supply curve for the industry, i.e., Q S = f(p)? If demand is given by Q D = 1000 – 100p, what are the short-run equilibrium price, market quantity, and firm quantity? Is this a long-run equilibrium? [Hint: Calculate firm profit in the equilibrium.]Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + ½q^2 and therefore MC = q. Assuming that the firm is a price-taker operating in a competitive market, derive an expression for the firm’s supply curve, (the profit maximizing output for the firm as a function of the market price, i.e., q^s = f(p). Assuming the firm is one of 100 identical firms in the industry, what is the short-run supply curve for the industry, i.e., Q^s = f(p)? If demand is given by Q^D = 1000 – 100p, what are the short-run equilibrium price, market quantity, and firm quantity? Is this a long-run equilibrium? [Hint: Calculate firm profit in the equilibrium.]Demand for microprocessors is given by P = 35 – 5Q , where Q is the quantity of microchips (in millions). The typical firm’s total cost of producing a chip is Ci = 5qi, where qi is the output of firm i. a) Does the typical microchip firm display increasing, constant, or decreasing returns to scale? What would you expect about the real microchip industry? In general, what must be true about the underlying technology of production for competition to be viable?
- 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?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 a perfectly competitive firm with a short-run total cost function given by TC = q2 + 100 where q is the level of output. The short-run marginal cost function is given by MC = 2q If the price of output is $60, how much output should the firm produce in order to maximize profit? Calculate the firm’s economic profit at this level of output Assuming that each firm in the industry has an identical cost function, is $60 a long-run equilibrium price for this perfectly competitive industry?