Linear programming model
chemical products. In a particular production process, three raw materials are
blended to produce two products, a fuel additive and a solvent base. Each ton
of fuel additive is a mixture of 2/5 ton of material 1 and 3/5 ton of material
3. A ton of solvent base is mixture of ½ ton of material 1, 1/5 ton of material
2, and 3/10 of material 3. After deducting relevant costs, the profit
contribution is $40 for every ton of fuel additive produced and $30 for every
ton of solvent base produced.
RMC’s production is constrained by limited availability of
the three raw materials. For the current production period, RMC has available
20 tons of raw material 1, 5 tons of raw material 2, and 21 tons of raw
material
Assuming that RmC is maximizing the total profit
contribution answer the following:
a. what is the linear programming model for this problem
b. Find the optimal solution using the graphical solution
procedure. How many tons of each product should be produced and what is the
project total profit contribution?
C. IS there any unused material. If so how mch?
D. Are there any redundant contraints? If so, which ones?
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