Posted by **Chloe** on Friday, October 8, 2010 at 8:47pm.

I've been trying to work this problem out for the past week and still havent managed to get to the answer.

jeans unlimited sold 6000 pairs of jeans in october at an average of 44$ each. The company president decides that she must increase the company's profits by increasing the price of a pair of jeans. Market research indicates that sales will drop 200 pairs for every 1$ increase in price. If the cost of making a pair of jeans is 25$ and all jeans made are sold , what price will maximize the profit?

The answer is 49.50$ but im not sure how to get there. I know that i somehow have to find a quadratic equation and find the derivative of that to find the max which will essentially give me enough information to find the final answer. PLEASE HELP.

- Pre-Cal -
**bobpursley**, Friday, October 8, 2010 at 9:05pm
Profit=NumberJeans*price-cost

but numberjeans=6000-200(Price-44)

profit=(6000-200(P-44))P-25

I assume you know how to find max.

dp/dPrice=0=(6000-200(P-44))+P(-200)(1)

solve for P

0=6000-200P+8800-200P

400P=14,800

P= 47 dollars. Check my work.

I recommend on your graphing calculator graph the profit function

Profit vs P

## Answer this Question

## Related Questions

Math - Linda owns a jeans store. Her montly profit p( x) dollars on the sale of ...

math (cant figure it out) - you own 7 pairs of jeans and want to take 2 of them ...

MaTH - I am trying to work this problem and need help. Mary bought 2 pairs of ...

math - A pair of ordinary jeans at A-Mart costs $50 less than a pair of designer...

math - The fixed costs of oreparting a business are the costs include rent, ...

math - pairs of jeans and want to take 2 with you. how many different ways can ...

algebra - Shelly has $175 to shop for jeans and sweaters, Each pair of jeans ...

math - at a sale,josh bought 4 shirts and 3 pairs of jeans for $181.at the same ...

MATH QUICK THANKS - IT COSTS JUST PANTS $12.50 TO MAKE A PAIR OF JEANS. THE ...

math - I have 7 different pairs of jeans and want to take 2 with me on vacation...