math
posted by Alex on .
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

y <= x+200
x+2y <= 1600
maximize 14x+22y900
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 
x = 14,y = 2

x=400
y=600 
Updated answers
1. D
2. D
3. A 
d a d

Idiots. The answer was C [x = 1,600; y = 0], not B.

Just took the quiz they are
D
B
C 
Sophia is right. 100%%