We consider the cost function C(q) and the revenue function R(q) for a manufacturer, where q is
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Question:
We consider the cost function C(q) and the revenue function R(q) for a manufacturer, where q is the number of units of a certain item. Both C(q) and R(q) are in dollars.
(a) The demand/supply equilibrium is at q = 42. The manufacturer is currently producing 41 items, with C'(41) = 21 and R'(41) = 19. Should he meet the market expectations of producing 42 items? You must explain your reasoning.
(b) Given that C(37) = 3700, C'(37) = 17, and C" < 0. Which of the following are possible values for C(40) and which are impossible? You must carefully justify your finding.
i) 3739
ii)3751
iii)3765
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