Trigonometry Question

Mathematics
Tutor: None Selected Time limit: 1 Day

A business man has determined that a mathematical model for his profit(in thousands of dollars) from the sales of a commodity at price x dollars is p(x)=-x^2+20x-50.

a) for what price is his profit maximized?

b) what is his maximum profit

May 18th, 2015

(a)  the equarion is that of a parabola. In a parabola the maximum occurs at vertex.

The vertex of a parabola is given as 

therefore the price for which the profit is maximized is $10

(b) the maximum profit is given as $50



Feel free to ask any doubts




May 18th, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
May 18th, 2015
...
May 18th, 2015
Dec 6th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer