A manufacturer produces two products, Product A and Product B. The weekly profit function, in dollars, is P ( x , y )= 560 x +20 xy 20 x 2 6 y 2...
View the step-by-step solution to:

Question

A manufacturer produces two products, Product A and Product B. The weekly profit function, in dollars,

is 


P(x,y)= 560x+20xy−20x2−6y2


where  x and y are units of each product in thousands. Determine how many units of each product should be produced and sold weekly in order to maximize the manufacturer's total weekly profit and the maximum value of the total weekly profit. Follow the steps: 


(a) The only critical point of P

 is (xcyc) = (__ ,__ ). 



(c) Therefore in order to maximize the manufacturer's total weekly profit,__units of Product A and__units of Product B should be produced and sold per week. 


(d) Now, plug x =__  and y =__ into the function P(xy) we obtain that the maximum weekly profit is $__ . 

Top Answer

(a) The only critical point of P is ( x c ; y c ) = ( 8 4 ; 1 4 0 ) (c)... View the full answer

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question