A bookbinder estimates that the cost C, in dollars, of making x school binders is modeled by the function C(x) = 2 + 2x + 0.017x^2. Determine the marginal cost of producing 100 binders.
2007-05-01 07:09:07 · 4 answers · asked by Model Beauty 1 in Science & Mathematics ➔ Mathematics
The "marginal cost" means the incremental cost of the last book.
If this is for a calculus class, they probably want the derivative at the 100th book:
C(x) = 2 + 2x + 0.017x^2
C'(x) = 2 + 0.034x
C'(100) = 2 + 3.4 = $5.40
If it is not for calculus, they probably just want the cost of the 100th book, which is C(100) - C(99):
C(100) = 2 + 2(100) + 0.017(100^2)
C(100) = 202 + 170
C(100) = 372
C(99) = 2 + 2(99) + 0.017(99^2)
C(99) = 200 + 166.62
C(99) = 366.62
C(100) - C(99) = $5.38
2007-05-01 07:16:32 · answer #1 · answered by McFate 7 · 0⤊ 0⤋
C(100) = 2 + 200 + 0.017 x 10^(4)
C(100) = 202 + 170
C(100) = 372
Cost of producing 100 binders = $372
2007-05-01 14:19:26 · answer #2 · answered by Como 7 · 0⤊ 0⤋
I'm not 100% sure. If you took the derivitive of it and used 100 your answer would be $3.40
2007-05-01 14:15:12 · answer #3 · answered by Anonymous · 0⤊ 0⤋
over my head mate, good luck with that one hun
2007-05-01 14:20:18 · answer #4 · answered by Anonymous · 0⤊ 0⤋