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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

C(Q) = 80 + 12Q

a. Write out the equation for the net benefits

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

c. Write out the equation for the marginal net benefits

d. What are the marginal net benefits when 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?