Homework Help: Math

Posted by Britney on Wednesday, November 14, 2012 at 11:13pm.

The weekly demand for the Pulsar 25-in. color console television is given by the demand equation

p=-0.05x+502 (0(less than or equal too)x(less than or equal too)12,000)

where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing these sets is given by

c(x)=0.000003x^3-0.05x^2+400x+80,000

where C(x) denotes the total cost incurred in producing x sets. Find the level of production that will yield a maximum profit for the manufacturer. Hint: Use the quadratic formula. (Round your answer to the nearest whole number.)

? units

Math - Steve, Thursday, November 15, 2012 at 10:12am
profit = revenue - cost
revenue = price * quantity

profit is thus

y = x(-0.05x+502) - (0.000003x^3-
0.05x^2+400x+80000)
y = 0.000003x^3 + 102x + 80000

y' = -0.000009x^2 + 102
y'=0 when x = 3366
Math - britney, Thursday, November 15, 2012 at 11:46am
how did you get 3366?

Answer this Question

Related Questions

math - The weekly demand for the Pulsar 25 color LED television is represented ...
math - The weekly demand for the Pulsar 25 color LED television is represented ...
Math - Could someone work this question out so I understand it. Thanks The ...
Math - Could someone answer this question so I understand it. Thanks The ...
Math - Could someone work this question out so I understand it. Thanks The ...
Math - Could someone work this question out so I understand it. Thanks The ...
math - supply and demand: for a certain commodity the supply equation is given ...
economics - 1. Chipo has the following utility function of 2 goods Pies (X) and ...
economics - 1. Chipo has the following utility function of 2 goods Pies (X) and ...
economics - 1. Chipo has the following utility function of 2 goods Pies (X) and ...

For Further Reading

First Name:
School Subject:
Answer: