Consider the following all-integer linear program: Max 10x1 + 3x2 s.t. 6x1 + 7x2 40 3x1
Question:
Max 10x1 + 3x2
s.t.
6x1 + 7x2 ≤ 40
3x1 + 1x2 ≤ 11
x1, x2 ≥ 0 and integer
a. Formulate and solve the LP Relaxation of the problem. Solve it graphically, and round down to find a feasible solution. Specify an upper bound on the value of the optimal solution.
b. Solve the integer linear program graphically. Compare the value of this solution with the solution obtained in part (a).
c. Suppose the objective function changes to Max 3x1 + 6x2. Repeat parts (a) and (b).
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Step by Step Answer:
a The value of the optimal solution to the LP Relaxation is 367 and it is given by x 1 367 x 2 00 Si...View the full answer
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Related Book For 
Quantitative Methods For Business
ISBN: 148
11th Edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey Cam
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