Homework Help: math

Posted by Alex on Monday, September 17, 2012 at 3:53pm.

A factory can produce two products, x and y, with a profit approximated by P =
I think it's b but I'm not really sure. Can someone show me how to do this or let me check my answer? :)

14x + 22y – 900. The production of y can exceed x by no more than 200 units. Moreover, production levels are limited by the formula x + 2y ≤ 1600. What production levels yield maximum profit?

a. x = 400; y = 600
b. x = 0; y = 0
c. x = 1,600; y = 0
d. x = 0; y = 200

math - Steve, Monday, September 17, 2012 at 4:04pm
y <= x+200
x+2y <= 1600

maximize 14x+22y-900

Surely (0,0) will not yield maximum profit!

If you evaluate p(x,y) at the line intersections, you will find

p(0,0) = -900
p(0,200) = 3500
p(400,600) = 17900
p(1600,0) = 21500
math - abdul, Monday, October 1, 2012 at 4:08pm
x = 14,y = -2
math - abdul, Monday, October 1, 2012 at 4:12pm
x = 14,y = -2
x = 14,y = -2 - abdul, Monday, October 1, 2012 at 4:13pm
x = 14,y = -2

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