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

__________R1

+

__________R2

+

____________R3

+

___________S1

+

________S2

+

_______S3

s.t.

__________R1

+

___________S1

_____________

__________R2

+

+

________S2

_____________

____________R3

+

_______S3

_____________

__________R1

+

__________R2

+

____________R3

_____________

___________S1

+

________S2

+

_______S3

_____________

__________R1

+

__________R2

+

____________R3

___________S1

+

________S2

+

_______S3

__________R1

+

__________R2

+

____________R3

___________S1

+

________S2

+

_______S3

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