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gerardogonzale2294
07.04.2021 •
Mathematics
An item on sale costs 85% of the original price. The original price was $33.
Use the ALEKS calculator to find the sale price.
?
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Ответ:
(a) P(x) = 300 x - 3600
(b) P(340) = $ 98400
(c) At least 12 items must be sold to avoid losing money.
Step-by-step explanation:
Part (a):
The Profit function is the difference between the revenue function (R(x)) and the Cost (C(x)) function:
P(x) = R(x) - C(x)
P(x) = 384 x - [84 x + 3600]
P(x) = 384 x - 84 x - 3600
P(x) = 300 x - 3600
Part (b):
The profit on 340 items is:
P(340) = 300 (340) - 3600
P(340) = 102000 - 3600
P(340) = $ 98400
Part (c):
To avoid losing money, the profit P(x) has to be larger or equal than zero. That is:
P(x)
0
300 x -3600
0
300 x
3600
x
3600/300
x
12
So at least 12 items must be sold to avoid losing money.