The maximum is at (9,9) and the maximum value is 126 after plotting all the inequalities on the coordinate plane option (B) is correct.
What is inequality?
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have a system of inequalities:
8x + 2y > 36
-3x+ 6y < 27
-7x + 5y > -18
After plotting all the inequalities in the coordinate plane, we get:
Intersection points:
(4, 2)
(3, 6)
(9, 9)
Checking for the minimum values at all the points:
f(x, y) = 9x + 5y
f(4, 2) = 9(4) + 5(2) = 46
f(3, 6) = 9(3) + 5(6) = 57
f(9, 9) = 9(9) + 5(9) = 126
The maximum value is 126
Thus, the maximum is at (9,9) and the maximum value is 126 after plotting all the inequalities on the coordinate plane option (B) is correct.
Learn more about the inequality here:
brainly.com/question/19491153
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