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Examples for Linear programming and Transportation Problems

Part one
RMS, Inc. produces three raw materials that are blended together (mixed together) to produce two products: a fuel additive and a solvent base. Each kilogram of fuel additive is a mixture of 2/5 kilogram of material 1 and 3/5 kilogram of material 3. A kilogram of solvent base is a mixture of 1/2 kilogram of material 1, 1/5 kilogram of material 2, and 3/10 kilogram of material 3. The profit is $40 for each kilogram of fuel additive produced and $30 for each kilogram of solvent base produced.
RMS's has available the following quantities of raw materials:
Material 1 20 Kilograms
Material 2 5 Kilograms
Material 3 21 Kilograms

What is the linear programming model for this problem? What is the maximum profit?

Part two
Referring to the following table, what is the minimum transportation cost?
Values not in the margins are cost per unit, $.

DESTINATION
ORIGIN 1 2 3 SUPPLY
1 10 14 10 210
2 12 17 20 140
3 11 11 12 150
4 18 8 13 160
DEMAND 220 220 220

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Solution Summary

One example each for product mix problem and transportation problem is formulated and solved by using solver of MS Excel.

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