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Let C(q) represent the cost, R(q) the revenue, and π(q) the total profit, in dollars, of producing q items.
a) If C′(67) = 65 and R′(67) = 86, approximately how much profit is earned by item number 68?
b) If C′(149) = 120 and R′(149) = 98, approximately how much profit is earned by item number 150?

  • math -

    marginal profit = R'(x)-C'(x)
    a).
    Profit for item 68
    = π'(67)
    = R'(67)-C'(67)
    = 86-65
    = $21

    I'll let you try b).

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