How many of the following statements are true? With perfect substitute preferences, the consumer will always choose a corner solution (the corner solution is the only optimal solution). With Cobb-Douglas preferences, the consumer will never choose a corner solution. With perfect complement preferences, the consumer will never choose a corner solution.

Afirm produces a product in a competitive industry and has a total cost function (tc) of tc(q) = 60 + 10q + 2q2 and a marginal cost function (mc) of mc(q) = 10 + 4q. at the given market price (p) of $20, the firm is producing 5.00 units of output. is the firm maximizing profit? no what quantity of output should the firm produce in the long run? the firm should produce unit s) of output. (enter your response as an integer.)

The following data pertains to activity and costs for two months: june july activity level in 10,000 12,000 direct materials $16,000 $ ? fixed factory rent 12,000 ? manufacturing overhead 10,000 ? total cost $38,000 $42,900 assuming that these activity levels are within the relevant range, the manufacturing overhead for july was: a) $10,000 b) $11,700 c) $19,000 d) $9,300

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $