A factory can produce 2 products, x and y, with a profit approximated by p=14x+22y-900. The production of y can exceed x by no more than 100. Moreover, production levels are liited by the formula x+2less than/equal to 1400. What production levels yield maximum profit?

Question

anonymous · Answer

@agent0smith

agent0smith · Answer

"production of y can exceed x by no more than 100" this means $$\Large y \le x+100$$
x+2less than/equal to 1400 $$\Large x+2 \le 1400$$
It's also a real life problem so x and y can't be negative
$$\Large x \ge 0$$$$\Large y \ge 0$$

agent0smith · Answer

First you have to graph these 
$$\large y≤x+100$$
$$\large  x+2≤1400$$
$$\large  x≥0$$
$$\large  y≥0$$

anonymous · Answer

ok, how to i graph the second one, it doesn't have a y value

agent0smith · Answer

It doesn't need one. It's still graphable. x+2≤1400 becomes x≤1398. 

To graph it you'd draw a vertical line at x=1398, and shade to the left.

anonymous · Answer

what is the value where they intersect?

agent0smith · Answer

Solve this to find it
y=x+100
x=1398