Determine marc optimal shipping quantities

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Reference no: EM131415031

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.

Reference no: EM131415031

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