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 95 while super must have a level of at least 102 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 Input Cost Barrel Octane Available (barrels) 1 $15 5 110 125,000 2 $14 90 360,000 3 $16 5 100 320,000 Revenue Barrel Max Demand (barrels) Regular $19 5 360,000 Super $21 510,000 Develop and solve a linear programming model to maximize contribution to profit Let R i the number of barrels of input i to use to produce Regular, i 1,2,3 S i the number of barrels of input i to use to produce Super, i 1,2,3 If required, round your answers to two decimal places 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 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 barrels of Regular and barrels of Super

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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

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 95 while super must have a level of at least 102. 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.

Input	Cost/Barrel	Octane	Available (barrels)
1	$15.5	110	125,000
2	$14	90	360,000
3	$16.5	100	320,000

	Revenue/Barrel	Max Demand (barrels)
Regular	$19.5	360,000
Super	$21	510,000

Develop and solve a linear programming model to maximize contribution to profit.

Let	R_i = the number of barrels of input i to use to produce Regular, i=1,2,3
	S_i = the number of barrels of input i to use to produce Super, i=1,2,3

If required, round your answers to two decimal places. 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.