Question: Problem 1 Consider the following problem. Max Z = 4x 1 + 3x 2 -x 1 + 6x 2 18 (con1) -2x 1 + 5x

Problem 1

Consider the following problem.

Max Z = 4x1 + 3x2

-x1 + 6x2 18 (con1)

-2x1 + 5x2 10 (con2)

x1, x2 0

(a) Solve the problem if x1 and x2 have to be integer using graphical method. What is the optimal value of x1, x2 and Z? (10 marks)

(b) Solve the problem if only x1 has to be integer using graphical method. What is the optimal value of x1, x2 and Z? (5 marks)

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