A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y –
900. The production of y must exceed the production of x by at least 100 units. Moreover,
production levels are limited by the formula x + 2y ≤ 1400.
a. Identify the vertices of the feasible region.
b. What production levels yield the maximum profit, and what is the maximum profit?

Question

A factory can produce two products, x and y, with a profit approximated by P = 14x + 22y –
900. The production of y must exceed the production of x by at least 100 units. Moreover,
production levels are limited by the formula x + 2y ≤ 1400.
a. Identify the vertices of the feasible region.
b. What production levels yield the maximum profit, and what is the maximum profit?

er.mohd.amir · Answer

y>=x+100
then draw lines x+2y=1400 and y=x+100 and solve these two get feasible region and x>0,y>0

anonymous · Answer

is that A and B?

er.mohd.amir · Answer

use this get A and with points get B

anonymous · Answer

wait... what?

anonymous · Answer

I agree with Er.Mohd.AMIR..A and B

mathmale · Answer

You'd probably find this discussion easier if you'd sketch the situation.

triciaal · Answer

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