a factory can produce two product, x and y, with a profit approximated by p=14x+22y-900. the production of y can exceed x by no more than 100 units. moreover, productions levels are limited by the formula x+2y is less than or equal two 1,400. what production levels yield maximum profit?

Question

mathstudent55 · Answer

These are the constraints:

p=14x+22y-900
y - x <= 100
x + 2y <= 1400

anonymous · Answer

yeah

mathstudent55 · Answer

The production of x and y must each be 0 or more.
The constraints we have are:

$x \ge 0$

$y \ge 0$

$y - x \le 100$

$x + 2y \le 1400$

Now we can look at all the corresponding equations and graph them to find a region.

$x = 0$

$y = 0$

$y - x = 100  \rightarrow  y = x + 100$

$x + 2y = 1400 \rightarrow  y = -\dfrac{1}{2}x + 700$

mathstudent55 · Answer

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