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
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- A firm in a perfectly competitive industry has patented a newprocess for making widgets. The new process lowers the firm’saverage cost, meaning that this firm alone (although still aprice taker) can earn real economic profits in the long run. a. If the market price is $20 per widget and the firm’s marginalcost is given by MC=0.4q , where q is the dailywidget production for the firm, how many widgets willthe firm produce? b. Suppose a government study has found that the firm’snew process is polluting the air and estimates the socialmarginal cost of widget production by this firm to be. If the market price is still $20, what is thesocially optimal level of production for the firm? Whatshould be the rate of a government-imposed excise tax tobring about this optimal level of production? c. Graph your results.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 the above graph is a typical firm in a perfectly competitive market, if the market price is 9, then in order to profit maximize it should produce 40 units. True or False
- Consider a firm in a Perfectly Competitive industry. Suppose the price in this industry is $26. The total cost (TC) function for each firm is TC = 0.05q^2 + 1,080. If the marginal cost (MC) function for the firm is MC = 0.1q, a)what is the profit maximizing quantity for the firm to produce? b)what is the profit for the firm at the profit maximizing point?Glowglobes are produced by identical firms in a perfectly competitive market. Each firm's Total Cost function is TC=599+17q+q^2 and Marginal Cost function is MC=17+2q. Market demand is Q=517-P. If the market price is $95, what is the quantity each firm produces?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, other
- 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: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=712+q^2 and Marginal Cost curve MC=2q. Market demand is Q=895-2P. What is the long-run equilibrium market price? Enter a number only, drop the $ sign.A firm in a perfectly competitive market has a short-run total cost function equal to SRTC=4+20q, where q is the number of units the firm produces. The firm faces a market price of $10. Enter the optimal number of units should this firm produce to profit maximize? Hint: this could be considered a "trick question", but it's easy once you think about the way a firm should profit maximize.
- Derive the optimization condition of a profit-maximizing firm that operates in a perfectly competitive markets.Glowglobes are produced by identical firms in a perfectly competitive market. Each firm's Total Cost function is TC=225+14q+q^2 and Marginal Cost function is MC=14+2q. Market demand is Q=316-P. If the market price is $85, what are the revenues each firm earns?