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Rodny1047
20.09.2019 •
Mathematics
Dalco manufacturing estimates that its weekly profit, p, in hundreds of dollars, can be approximated by the formula p= -2x^2 + 8x + 2, where x is the number of units produced per week, in thousands.
a.how many units should the company produce per week to earn the maximum profit?
b.find the maximum weekly profit
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Ответ:
for maximum P, dP/dx = 0
dP/dx = -4x + 8 = 0
4x = 8
x = 2
The company should produce 2,000 units per week to earn maximum profit.
Maximum profit = -2(2)^2 + 8(2) + 2 = -8 + 16 + 2 = 10
Therefore, the maximum weekly profit is $1,000.
Ответ:
x=2000 and max profit =10,000 dollars
Step-by-step explanation:
Given that Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the formula
where x is the number of units produced per week, in thousands
We can use derivative test for finding the maximum profit
Let us differentiate P with respect to x two times
Actual units = 2000
a) 2 units should be produced per week to get maximum profit
b) Maximum profit =
Maximum profit actual =10000 dollars.
Ответ:
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Step-by-step explanation:
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