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(management Science) ILP-C Use the graphical display of the integer linear progr

ID: 3109355 • Letter: #

Question

(management Science)

ILP-C

Use the graphical display of the integer linear program in diagram ILP-C. The optimal solution othe LP Relaxation is determined to be

a. x1 = 1, x2 = 5.5, z = 28,000

x1 = 1, x2 = 5, z = 26,000

c. x1 = 6, x2 = 0, z = 36,000

d. x1 = 1.5, x2 = 4.5, z = 27,000

a. x1 = 1, x2 = 5.5, z = 28,000

b.

x1 = 1, x2 = 5, z = 26,000

c. x1 = 6, x2 = 0, z = 36,000

d. x1 = 1.5, x2 = 4.5, z = 27,000

Min z 6,000x1 4,000x2 s.t 1x1 1x 20 000x1 10,000x2275,000 x1, 0 and integer C1 C2 C3 obj func (z-36000 x- obj func (z 240do)

Explanation / Answer

The optimal solution can be found only on the corners of the feasible region. The feasible solution corresponds to x1=2, x2=4.

And the optimal solution=2800.