Assume that a competitive firm has the total cost function: TC=1q3-40q2+710q+1700TC=1q3-40q2+710q+1700 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. A. How many units should the firm produce to maximize profit? Please specify your answer as an integer. B. What is the total profit at the optimal output level? Please specify your answer as an integer.

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 computer company produces affordable, easy-to-use home computer systems and has fixed costs of 250. The marginal cost of producing computers is 700 for the first computer, 250 for the second, 300 for the third, 350 for the fourth, 430 for the fifth, 450 for the sixth, and 500 for the seventh. Create a table that shows the companys output, total cost, marginal cost, average cost, variable cost, and average variable cost. At what price is the zero-profit point? At what price is the shutdown point? If the company sells the computers for 500, is it making a profit or a loss? How big is the profit or loss? Sketch a graph with AC, MC, and AVG curves to illustrate your answer and show the profit or loss. If the firm sells the computers for 300, is it making a profit or a loss? How big is the profit or loss? Sketch a graph with AC, MC, and AVG curves to illustrate your answer and show the profit or loss.