Question: Three types of products, Regular, Super, and Extra. Regular should have at least 11% of Additive 1 and at least 17% of Additive 2. Super

Three types of products, Regular, Super, and Extra. Regular should have at least 11% of Additive 1 and at least 17% of Additive 2. Super should have at least 13% of Additive 1 and at least 22% of Additive 2. Extra should have at least 17% of Additive 1 and at least 19% of Additive 2. These products are made by blending two crudes oil X and Y. Crude X costs $28 per barrel and is 14% Additive 1 and 16% Additive 2. Crude Y costs $35 per barrel and is 20% Additive 1 and 24% Additive 2. The demand for Regular is 1,000 barrels, the demand for Super is 1,500 barrels, and the demand for Extra is 800 barrels.

Formulate this as a linear programming problem to minimize cost while meeting the demand for the three products and satisfying the composite requirements. Answer the following a few questions

1. How many barrels of crude X are used for making the three products?

2. How many barrels of crude Y are used for making the three products?

3. What is the total cost?

4. What percent of Additive 1 is actually in the product Regular?

5. What percent of Additive 2 is actually in the product Regular?

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