56. Total profit from marginal profit. Hanna's Hat Com- pany's marginal profit, P, as a function of its total cost, C, is given by dP -200 dC (C + 3)3/2" a) Find the profit function, P(C), if P = $10 when C = $61. b) At what cost will the firm break even (P = 0)?

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56. Total profit from marginal profit. Hanna's Hat Com-
pany's marginal profit, P, as a function of its total cost,
C, is given by
dP
-200
dC (C + 3)3/2"
a) Find the profit function, P(C), if P = $10 when
C = $61.
b) At what cost will the firm break even (P = 0)?
Transcribed Image Text:56. Total profit from marginal profit. Hanna's Hat Com- pany's marginal profit, P, as a function of its total cost, C, is given by dP -200 dC (C + 3)3/2" a) Find the profit function, P(C), if P = $10 when C = $61. b) At what cost will the firm break even (P = 0)?
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