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 1 | fill in the blank 2 | fill in the blank 3 | fill in the blank 4 | fill in the blank 5 | fill in the blank 6 | |||||||
| s.t. | |||||||||||||
| fill in the blank 7 | fill in the blank 8 | ≤ | fill in the blank 9 | ||||||||||
| fill in the blank 10 | fill in the blank 11 | ≤ | fill in the blank 12 | ||||||||||
| fill in the blank 13 | fill in the blank 14 | ≤ | fill in the blank 15 | ||||||||||
| fill in the blank 16 | fill in the blank 17 | fill in the blank 18 | ≤ | fill in the blank 19 | |||||||||
| fill in the blank 20 | fill in the blank 21 | fill in the blank 22 | ≤ | fill in the blank 23 | |||||||||
| fill in the blank 24 | fill in the blank 25 | fill in the blank 26 | ≥ | fill in the blank 27 | fill in the blank 28 | fill in the blank 29 | |||||||
| fill in the blank 30 | fill in the blank 31 | fill in the blank 32 | ≥ | fill in the blank 33 | fill in the blank 34 | fill in the blank 35 |
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.
