company wants to produce three products: A, B and C. The unit profits on these products are birr 4, birr 6 and birr 2 respectively. These products require two types of resources – manpower and material. The following L.P. model is formulated for determining the optimal product mix: Maximize Z = 4x1 + 6x2 + 2x3, Subject to x1 + x2 + x3 ≤ 3, (manpower) x1+ 4x2 + 7x3 ≤ 9 (material) where x1, x2, x3 ≥ 0
company wants to produce three products: A, B and C. The unit profits on these products are birr 4, birr 6 and birr 2 respectively. These products require two types of resources – manpower and material. The following L.P. model is formulated for determining the optimal product mix: Maximize Z = 4x1 + 6x2 + 2x3, Subject to x1 + x2 + x3 ≤ 3, (manpower) x1+ 4x2 + 7x3 ≤ 9 (material) where x1, x2, x3 ≥ 0
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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company wants to produce three products: A, B and C. The unit profits on these
products are birr 4, birr 6 and birr 2 respectively. These products require two types of
resources – manpower and material. The following L.P. model is formulated for
determining the optimal product mix:
Maximize Z = 4x1 + 6x2 + 2x3,
Subject to x1 + x2 + x3 ≤ 3, (manpower)
x1+ 4x2 + 7x3 ≤ 9 (material) where x1, x2, x3 ≥ 0
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