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    Argosy University/ Phoniex University/
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Category > Management Posted 20 Jan 2018 My Price 6.00

linear programming model

A manufacturing firm produces two products. Each product must go through an assembly process and a finishing process. The product is then transferred to the warehouse, which has space for only a limited number of items. The following linear programming model has been developed for determining the quantity of each product to produce in order to maximize profit:

Maximize Z = 30x1 + 70x2 (profit, $) subject to

4x1 + 10x2= 80 (assembly, hours)

14x1 + 8x2=112 (finishing, hours)

x1 + x2=10 (inventory, units)

x1, x2=0

  1. Solve this model graphically.
  2. Assume that the objective function has been changed to Z = 90x1 + 70x2. Determine the slope of each objective function and discuss what effect these slopes have on the optimal solution.
 
 

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Maurice Tutor
(5)
Status NEW Posted 20 Jan 2018 10:01 PM My Price 6.00

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