Tuesday

September 16, 2014

September 16, 2014

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

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 9:05pmProfit=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 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...

math - While shopping, you purchase 4 pairs of jeans, 6 shirts, and 3 pairs of ...