Operations Management
Operations Management
13th Edition
ISBN: 9780136860419
Author: Lee Krajewski
Publisher: Pearson Education
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Chapter B, Problem 4P

B.4. Consider the following linear programming problem:

Maximize Pr ofit = 30 X 1 + 10 X 2 Subject to : 3 X 1 + X 2 300 X 1 + X 2 200 X 1 100 X 2 50 X 1 X 2 0 X 1 , X 2 0

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c. Formulate Linear Optimization Models for the following: i. A company has been given a tender to supply maize to four drought zones. The cost of transporting each unit from the grains depot to the drought zone is given below: 1 | 2 | 3 4 Supply 1 21 16 25 | 13 17 18 14 23 13 3 32 27 18 41 19 Demand 10 12 15 43 6. 2.
L.P. Model: Maximize Subject to: Z= 1X + 10Y 4X + 3Y ≤ 36 2X+4Y ≤ 40 1Y27 X,Y 20 (C₁) (C₂) (C3) 1.) Plot and label the constraints C₁, C₂ and C3 (using the line drawing tool) on the provided graph. 2.) Using the point drawing tool, plot the point that maximizes the objective function. The optimum solution is: X = (round your response to two decimal places). Y = (round your response to two decimal places). Optimal solution value Z = (round your response to two decimal places). C Y 22- 20- 18- 16- 14- 12- 10- 8- co 6+ 4- 2- ó -~ 0 2 -4 4 -6 8 10 12 X . . 14 16 18 20 22 Ly
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