Question

By graphing the system of constraints, find the values of x and y that minimize the objective function.

x + 2y >= 8
x >= 2
y >= 0

minimum for C = x + 3y

A. (8,0)
B. (2,3)
C. (0,10)
D. (10,0)

Answer 1

x + 2y = 8 c=x+3y x≥2 y≥0 By considering the options (A) and (B) For option (A) x=8 and y=0 x+2y=8 put values of x and y in equation 8+2*0=8, which satisfies the equation now c = 8+3*0=8 Now, for option (B) x=2 and y=3 x+2y=8 put values of x and y 2+2*3=8, which satisfies the equation. now c = 2+3*3=11 As we have to find the minimum value of c.

Explanation: