Answer:
minimum value of C is,
C = 14
Explanation:
2x + y ≥ 20 (1)
2x + 3y ≥ 36 (2)
by subtracting equation (2) from equation (1)
2x + y ≥ 20
2x + 3y ≥ 36
- - -
__________
-2y ≥ -16
y ≥ 8
by substituting the value of y in equation (1)
2x + 8 ≥ 20
2x ≥ 20 - 8
2x ≥ 12
x ≥ 6
as we have to find the minimum value of C so we will take the minimum values of x and y which according to inequalities will be,
x = 6
y = 8
thus, the minimum value is:
C = x + y = 6 + 8 = 14