please help solve, thank you

User Generated

phooloyhr24

Mathematics

Description

the total costs for a company =  c (x) = 2000 + 40x +x^2 and total revenue is (x) = 130x.

a. Find break even points

b. what is the maximum profit?

Thank you!

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Thank you for the opportunity to help you with your question!

Break even point is when cost is equal to revenue;

x^2+40x+2000=130x

x^2-90x+2000=0

x=40  and  50 (break even points)

.............................................................

Profit=revenue- the total costs=P=130x-x^2-40x-2000=-x^2+90x-2000=-(x-40)(x-50)

For Maximum, dp/dt=-2x+90=0 ;x=45

Thus Profit is -(45-40)(45-50)=25

Final Answer  Break even points are at x=40,50 and profit is 25

Please let me know if you need any clarification. I'm always happy to answer your questions.


Anonymous
Goes above and beyond expectations!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags