What is the minimum value of c = 7x + 8y, given the constraints: 2x + y ≥ 8, x + y ≥ 6, x ≥ 0, y ≥ 0. a. 32 b. 42 c. 46 d. 64

The minimum value of C is 46.

Step-by-step explanation:

Since, Here, We have to find out Min C = 7x+8y

Given the constraints are -------(1)

  ------------- (2)

,  -------- (3)

Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)

And, ⇒ ( false)

Therefore the area of line 1) does not contain the origin.

For equation 2) x-intercept, (6, 0) and y-intercept (0,6)

And, ⇒ ( false)

Therefore the area of line 2) does not contain the origin.

Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)

At A≡(0,8) , C= 64

At E≡(2,4),  C= 46

At B≡(6,0),  C= 42

Thus at B, C is minimum, And its minimum value = 42

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.