Marc's construction firm currently has three projects in progress. Each requires a specific supply of gravel. There are three gravel pits available to provide for Marc's needs, but shipping cost differ from location to location. The table below summarizes the transportation costs:
|
Gravel Pit
|
Project 1
|
Project 2
|
Project 3
|
Supply (tons)
|
|
A
|
$9
|
$8
|
$7
|
3,000
|
|
B
|
$7
|
$11
|
$6
|
4,000
|
|
C
|
$4
|
$3
|
$12
|
6,000
|
|
Project Demand (tons)
|
2,500
|
3,750
|
4,850
|
|
- Determine Marc's optimal shipping quantities so as to minimize total transportation costs:
- Formulate the LP problem.
- Solve the Primal LP in Solver, print answer and sensitivity report.
- Formulate the Dual Problem.
- Solve the Dual in Solver, print answer and sensitivity report.