Asked by Avi
A manufacuturer sells instruments for 70 per unit. The cost of producing x instruments is C (x)=2000+4x+0.003x^2 and no more than 15000 instruments can be made in a week.Find themamount of instruments should be made to get max profit in a week.
Answers
Answered by
oobleck
profit = revenue-cost, so
p(x) = 70x - (2000+4x+0.003x^2) = -0.003x^2 + 66x - 2000
dp/dx = 66 - 0.006x
dp/dx=0 at x=11000
p(x) = 70x - (2000+4x+0.003x^2) = -0.003x^2 + 66x - 2000
dp/dx = 66 - 0.006x
dp/dx=0 at x=11000
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.