Afactory cam produce two products, x and y, with a profit approximated by p=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?

Solution :- Given a factory can produce two products x and y with profit approximated by p(x) = 14 x + 22 y - 900

The production of y can exceed x by no more than 200 units  . So the required constraints are

y - x < 200   [equation 1]

We draw the graph of equation 1 using table 1  as shown in figure.

and

x + 2 y ≤ 1600 [equation 2]

We draw the graph of equation 2 using table 2 as shown in figure.

Total profit p(x)= 14 x + 22 y - 900

The mathematical formulation of the given problem is

Maximize p(x) =  14 x + 22 y - 900

Subject  to the constraints

option: d is correct

step-by-step explanation:

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