Suppose the marginal profit from the sale of x hundred items is:
P'(x)=4-6x=3x^2

and the profit of 0 items is -\$40
A. Find the profit function.
B. Find the profit from selling 800 items

I assume the P' is 4-6x+3x^2

Then P= 4x - 3x^2 + x^3 + C

where C is the constant of integration. You have P when x=0, so C= -40

Put in x=800 and you have it.

1. 👍 0
2. 👎 0
3. 👁 93
1. the profit is \$510,083.16

1. 👍 0
2. 👎 0
posted by ivann

## Similar Questions

1. ### Business Calculus

A company has operating costs of \$2000 per thousand items produced. Its revenue function can be modeled by the equation: R(x)=30x/(x+2)² , where x is measured in thousands of items produced, and C and R are measured in thousands

asked by Adriana on March 25, 2011
2. ### math

a company will make \$150000 profit if it manufactures 1000000 items and \$1750000 profit if it manufactures 500000 items. the relationship bewteen the number of drives manuactured and the profit is a linear. write an equation that

asked by Anonymous on February 2, 2012
3. ### Calculus

I have two problems that I can't figure out for my test review... 1. Productivity: Because a new employee must learn an assigned task, production will increase with time. Suppose that for the average new employee, the rate of

asked by Chris on April 10, 2007
4. ### calculus

The net monthly profit, in dollars, from the sale of a certain item is given by the formula P(x) = 10^6[1 + (x-1)e^0.001x], where x is the number of items sold. a) Find the number of items that yield the maximum profit. At full

asked by kim on April 29, 2018
5. ### Calc Help

Marginal Cost = 30sqroot(x+4) with fixed costs of \$1000. Marginal Revenue = 900. find profit or loss from production and sale of 5 units. how many units will result in a max profit? what is the max profit? Can someone please help.

asked by Rob on April 29, 2007
6. ### Calculus

P(x)= -x^3+15x^2-48x+450, x>/3 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. find the number of hundred thousands of tires that must be sold to maximize profit.

asked by Dan on November 4, 2010
7. ### Statistics

Car P(Sale) % Sold Per Sale/ Profit Per Sale VW Golf 10% 15% \$1,000 Saab 10% 15% \$2,000 BWM Z4 10% 20% \$12,000 Skoda Octavia10% 10% \$1,200 Lada Niva10% 40% \$400 Sum 100% 2.1 What is the expected profit for a VW Golf? 2.2 What is

asked by Emma on July 27, 2010
8. ### math

The profit in dollars in producing x- items of some commodity is given by the equation P = - 40 x^2 + 1000 x - 5250 . How many items should be produced to maximize the profit? What is the maximum profit?

asked by Lucy on February 9, 2014
9. ### math

A store usuall sells a certain item at 40%profit. One week the store has a sale, during which the item is sold for 10% less than the usual price. During the sale, what is the percent profit of the sotre makes on each of these

asked by tish on June 28, 2016
10. ### Calculus (Please check my work.)

This is my last chance to make at least a C in my AP Calculus course, so please tell me if I got these right or wrong so that I can fix them before it's due. Also, there was one I wasn't sure how to do, so if you can help me with

asked by Lindsay on December 14, 2013

More Similar Questions