What are the requirements of a linear programming problem?
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A mathematical technique to
help plan and make decisions
relative to the trade-offs
necessary to allocate resources
Will find the minimum or
maximum value of the objective
Guarantees the optimal solution
to the model formulated
Linear Programming Applications
1.
Scheduling school buses to minimize
total distance traveled
2.
Allocating police patrol units to high
crime areas in order to minimize
response time to 911 calls
3.
Scheduling tellers at banks so that
needs are met during each hour of the
day while minimizing the total cost of
labor
4.
Selecting the product mix in a factory
to make best use of machine- and
labor-hours available while maximizing
the firm’s profit
5.
Picking blends of raw materials in feed
mills to produce finished feed
combinations at minimum costs
6.
Determining the distribution system
that will minimize total shipping cost
help plan and make decisions
relative to the trade-offs
necessary to allocate resources
Will find the minimum or
maximum value of the objective
Guarantees the optimal solution
to the model formulated
Linear Programming Applications
1.
Scheduling school buses to minimize
total distance traveled
2.
Allocating police patrol units to high
crime areas in order to minimize
response time to 911 calls
3.
Scheduling tellers at banks so that
needs are met during each hour of the
day while minimizing the total cost of
labor
4.
Selecting the product mix in a factory
to make best use of machine- and
labor-hours available while maximizing
the firm’s profit
5.
Picking blends of raw materials in feed
mills to produce finished feed
combinations at minimum costs
6.
Determining the distribution system
that will minimize total shipping cost
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