中四數學function

2009-11-30 12:39 am
(a) It is given that the total cost of manufacturing x pairs of sports shoes is $(x^2+100x+1600) and the selling price of each pair of shoes is $200. Write a
function f(x) to stand for the profit in selling x pairs of shoes.
(b) Let the profit in selling x jackets be given by the function g(x). If the profit in
selling (x+10) jackets is the same as the profit in selling x pairs of shoes, find
the function g(x).
想問(b)的答案為甚麼是-(x-60)^2+900, 而不是-(x-40)^2+900?

回答 (1)

2009-11-30 1:18 am
✔ 最佳答案
a. the profit = 200x - (x^2+100x+1600)
f(x) = -x^2 +100x -1600
b. g(x+10) = f(x) = -x^2 +100x -1600
∴ g(x) = f(x-10) = -(x-10)^2 +100(x-10) -1600
= -(x-60)^2+900


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