Question: Use the following problem statement to answer questions 4-6. A company produces regular and premium gasoline for independent service stations. The company manufactures the products

Use the following problem statement to answer questions 4-6. A company produces regular and premium gasoline for independent service stations. The company manufactures the products by blending three components: 1,2 , and 3 . The gasolines are sold at different prices while the petroleum components have different costs. Data show that regular gasoline can be sold for $2.90 per gallon and premium gasoline for $3.00 per gallon. For the current production period, the company can obtain the three components at the cost per gallon and in the quantities shown in Table 1 . Table 2 shows the product specifications that restrict the amount of each component used in each product. Current commitments to distributors require the company to produce at least 10,000 gallons of regular gasoline. The company wants to determine how to mix the three components into the two gasoline products and maximize total profit. Formulate a model to determine how many gallons of each component should be used in the regular gasoline and the premium gasoline. [Note: Xij=no. of gallons of component i used in gasoline j, where i=1,2,3 and j ] = R (Regular) and P (Premium).] Table 1 Which of the following constraints is correct? X1P+X2P=14,000X1R+X1P=14,000X1P+X1P>14,000 Which of the following constraints is correct? X1R0.23(X1R+X2R+X3R)X2R=0.23(X1P+X2P+X3P)X1R=0.23(X1R+X2P+X3R) Question 6 Which of the following constraints is correct? X2R=0.27(1P+X2P+X3P) X2R
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