The operations research analyst for a big manufacturing firm in Oregon developed the following variable definitions for an LP maximization problem she was working on. The company was trying to determine how many consoles of each model to produce next week given each console had to go through three production departments. She obtained the following optimal simplex tableau for the problem and wanted to interpret its meaning. Variable definitions:
xl = number of model 1 consoles produced
x2 = number of model 2 consoles produced
s1 = unused personnel hours in department 1
s2 = unused personnel hours in department 2
s3 = unused personnel hours in department 3
objective function = total profit on model 1 and model 2 consoles produced in the coming week
Optimal solution: Produce 15 model 1 consoles, produce 20 model 2 consoles,
all personnel hours will be used in departments 1 and 3,
10 personnel hours will be unused in department 2, and
total profit next week will be $9,700.
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