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  3. problem 9-15 bay oil produces two types of fuels (

Problem 9-15 Bay Oil produces two types of fuels (regular and super) by mixing three ingredients. The...

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Basic Math

Problem 9-15

Bay Oil produces two types of fuels (regular and super) bymixing three ingredients. The major distinguishing feature of thetwo products is the octane level required. Regular fuel must have aminimum octane level of 90 while super must have a level of atleast 100. The cost per barrel, octane levels, and availableamounts (in barrels) for the upcoming two-week period are shown inthe following table. Likewise, the maximum demand for each endproduct and the revenue generated per barrel are shown.

Develop and solve a linear programming model to maximizecontribution to profit.

Let

Ri = the number of barrels of input i to useto produce Regular, i=1,2,3

Si = the number of barrels of input i to useto produce Super, i=1,2,3

If required, round your answers to one decimal place. Forsubtractive or negative numbers use a minus sign even if there is a+ sign before the blank. (Example: -300)

Max

R1

+

R2

+

R3

+

S1

+

S2

+

S3

s.t.

R1

+

S1

?

R2

+

+

S2

?

R3

+

S3

?

R1

+

R2

+

R3

?

S1

+

S2

+

S3

?

R1

+

R2

+

R3

?

R1

+

R2

+

R3

S1

+

S2

+

S3

?

S1

+

S2

+

S3

R1, R2, R3, S1, S2, S3 ? 0

What is the optimal contribution to profit?

Maximum Profit = $   by making  barrelsof Regular and  barrels of Super.

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