A manufacturer finds that for the first 500 units of his product that are produced and sold,the profit is Rs 50/unit. The profit on each of the units beyond 500 is decreased by Rs 0.1 times the number of additional units produced: calculate the profit equationn, and find the maximum profit that the manufacture can make:
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Step-by-step explanation:
A plant produces and sells semiconductor devices. The cost per one unit (also known as the unit cost) depends on the volume of production and includes a fixed part
1000
($/device) and a variable part
2
n
($/device), where
n
is the number of units produced per month. The price of the device, in turn, depends on the volume of production according to the law
p
(
n
)
=
10000
−
n
($/device). Determine at what volume of production the profit will be highest?
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