TRANSPORTATION METHOD:

INSTRUCTIONS: Solve for the optimal distribution and cost of transportation using the given problem below. Show all solutions.

VIN Company received a contract to supply unleaded gasoline to four different locations. Project A needs 60,000 liters, Project B needs 90,000 liters, Project C needs 20,000 liters, and Product D needs 30,000 liters. The company has two depot located in two different places. Depot 1 has 120,000 liters available and Depot 2 has 80,000 liters available.

Cost to Transport

Project A Project B Project C Project D

Depot 1 5 7 3 4

Depot 2 8 6 8 8

SIMPLEX METHOD:

Instructions: Determine the optimal solution.

Maximize: 50X1+ 20 X2

Subject to :X120

X230

X1 + X248