MATHS,, about Functions and Graphs(1) F.3

theresa

2007-05-01 2:01 am

The functions that express the total cost,the income and the profit of a digital cameras production company are given by C(x) = 100000+40x, I(x) = x^2 over 50 and P(x) = I(x) - C(x) respectively,where x is the number of digital cameras produced each day and the unit for the values of the three functions is in dollars. If 5000 digital cameras are produced each, find..

(a) the cost of producing each digital camera,

(b) the daily profit.

Answer : (a) $420 ; (b) $ 5400000

回答 (1)

用戶40379

2007-05-01 4:52 am

✔ 最佳答案

The functions that express the total cost, the income and the profit of a digital cameras production company are given by C(x) = 100000+40x, I(x) = x2 / 50 and P(x) = I(x) - C(x) respectively, where x is the number of digital cameras produced each day and the unit for the values of the three functions is in dollars. If 5000 digital cameras are produced each, find..
(a) the cost of producing each digital camera,
C(5000) = 100000 + 40(5000) = 300000
Cost of producing each digital camera
= C(5000) / 5000
= 300000 / 5000
= 60

(b) the daily profit.
I(5000) = 50002/50 = 500000
P(5000) = I(5000) – C(5000)
= 500000 – 300000
= 200000

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