The profit, P, in millions of dollars, for producing x custom built executive jet aircraft is given by ......?

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The profit, P, in millions of dollars, for producing x custom built executive jet aircraft is given by ......?

P(x) = 30(x + 1)^1/2 - 3x - 30

For what number of jets is the profit maximized?

2006-07-21 06:33:18 · 2 answers · asked by Olivia 4 in Science & Mathematics ➔ Mathematics

2 answers

Take the derivative of P(x) and find where slope = 0.

P'(x) = 15(x + 1)^(-1/2) - 3
0 = 15(x + 1)^(-1/2) - 3
3 = 15(x + 1)^(-1/2)
0.2 = (x + 1)^(-1/2)
5 = sqrt (x + 1)
25 = x + 1
24 = x

2006-07-21 07:39:20 · answer #1 · answered by jimbob 6 · 1⤊ 0⤋

24?

2006-07-21 13:45:35 · answer #2 · answered by Kyrix 6 · 0⤊ 0⤋