# Problem 9-15 Bay Oil produces two types of fuels (regular and super) by mixing three ingredients. The major distinguishing feature of the two products is the octane level required. Regular fuel must h

Problem 9-15

Bay Oil produces two types of fuels (regular and super) by mixing three ingredients. The major distinguishing feature of the two products is the octane level required. Regular fuel must have a minimum octane level of 90 while super must have a level of at least 100. The cost per barrel, octane levels, and available amounts (in barrels) for the upcoming two-week period are shown in the following table. Likewise, the maximum demand for each end product and the revenue generated per barrel are shown.

Problem 9-15 Bay Oil produces two types of fuels (regular and super) by mixing three ingredients. The major distinguishing feature of the two products is the octane level required. Regular fuel must h
Problem 9-15 Bay Oil produces two types of fuels (regular and super) by mixing three ingredients. The major distinguishing feature of the two products is the octane level required. Regular fuel must have a minimum octane level of 90 while super must have a level of at least 100. The cost per barrel, octane levels, and available amounts (in barrels) for the upcoming two-week period are shown in the following table. Likewise, the maximum demand for each end product and the revenue generated per barrel are shown. Develop and solve a linear programming model to maximize contribution to profit. Let Ri = the number of barrels of input i to use to produce Regular, i=1,2,3 Si = the number of barrels of input i to use to produce Super, i=1,2,3 If required, round your answers to one decimal place. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) Max fill in the blank 1R1 fill in the blank 2R2 fill in the blank 3R3 fill in the blank 4S1 fill in the blank 5S2 fill in the blank 6S3 s.t. fill in the blank 7R1 fill in the blank 8S1 ≤ fill in the blank 9 fill in the blank 10R2 fill in the blank 11S2 ≤ fill in the blank 12 fill in the blank 13R3 fill in the blank 14S3 ≤ fill in the blank 15 fill in the blank 16R1 fill in the blank 17R2 fill in the blank 18R3 ≤ fill in the blank 19 fill in the blank 20S1 fill in the blank 21S2 fill in the blank 22S3 ≤ fill in the blank 23 fill in the blank 24R1 fill in the blank 25R2 fill in the blank 26R3 ≥ fill in the blank 27R1 fill in the blank 28R2 fill in the blank 29R3 fill in the blank 30S1 fill in the blank 31S2 fill in the blank 32S3 ≥ fill in the blank 33S1 fill in the blank 34S2 fill in the blank 35S3 R1, R2, R3, S1, S2, S3 ≥ 0 What is the optimal contribution to profit? Maximum Profit = \$  fill in the blank 36 by making fill in the blank 37 barrels of Regular and fill in the blank 38 barrels of Super.

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