Second Look Enterprises (SLE) buys old computers, fixes them up, and resells them. Its weekly revenue function is R = 40q − 2q², so its marginal revenue is MR = 40 − 4q. Its weekly cost function is C = 10q + 0.5q², so its marginal cost is MC = 10 + q. 

a. Use Excel to calculate SLE’s revenue, cost, and profit for q = 1 to q = 20 in increments of 1. SLE’s manager wants to maximize profit. Based on these calculations, what output does the manager choose? Create columns in your spreadsheet for MR and MC and verify that MR = MC at the profit-maximizing output level. 

b. Now assume that SLE is run by a manager who is paid 10% of the revenue and therefore wants to maximize revenue. How much output does the firm produce now? What is marginal revenue at this output level? 

c. Now suppose that SLE is acquired and managed by a philanthropist who wants to promote recycling of used computers and therefore produces as much output as possible as long as the firm does not make losses. What output does SLE produce now?