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1. Suppose that the total benefit and total cost from a continuous activity are, respectively, given by the following equations: B(Q) = 100 + 36Q - 4Q2 and C(Q) = 80 + 12Q. [Note: MB(Q) = 36 - 8Q and MC(Q) = 12.]

a. Write out the equation for the net benefits

b. What are the net benefits when Q = 1? Q = 5?

c. Write out the equation for the marginal net benefits.

d. What are the marginal net benefits when Q = 1? Q = 5?

e. What level of Q maximizes net benefits?

f. At the value of Q that maximizes net benefits, what is the value of marginal net benefits?

2. Suppose the total benefit derived from a continuous decision, Q, is B(Q) = 20Q - 2Q2 and corresponding total cost is C(Q) = 4 + 2Q2 so that MB(Q) = 20 - 4Q and MC(Q) = 4Q.

a. What is total benefit when Q = 2? Q = 10?

b. What is marginal benefit when Q = 2? Q = 10?

c. What level of Q maximizes total benefit?

d. What is total cost when Q = 2? Q = 10?

e. What level of Q minimizes total cost?

f. What level of Q maximizes net benefits?

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