I dont want the chegg text book solution.

Please EXPLAIN ME WHY I AM WRONG in LINDO, NOT EXCEL.

DONT NEED THE COPY OF CHEGG TEXTBOOK SOLUTION

My answer through lindo shows that the maximum profit is 71400, but i think the chegg textbook solution is indicating 39000 or something. solution i thought, was

r = regular, p = premium, d

Max 3ra + 5rb + 0rc + 6rd + 9pa + 11pb + 6pc + 12pd + 1da +3db - 2dc + 4dd

st

ra + pa + da

rb + pb + db

rc + pc + dc

rd + pd + dd

ra + rb + rc + rd > 3000

pa + pb + pc + pd > 3000

da + db + dc + dd > 3000

0.6ra - 0.4rb - 0.4rc - 0.4rd > 0

0.8rb - 0.2ra - 0.2rc - 0.2rd

0.7rc - 0.3ra - 0.3rb - 0.3rd > 0

0.6pc - 0.4pa - 0.4pb - 0.4pd > 0

0.5db - 0.5da - 0.5dc - 0.5dd

0.9da - 0.1db - 0.1dc - 0.1dd > 0

end

PLEASE EXPLAIN ME WHERE I GOT WRONG.

A refinery blends four petroleum components into three grades of gasoline-regular, premium, and diesel. The maximum quantities available of each component and the cost per barrel are as follows: Component Maximum Barrels Available/Day Cost/Barrel 1 5,000 $ 9 2 2,400 7 3 4,000 12 1,500 6 To ensure that each gasoline grade retains certain essential characteristics, the refinery has put limits on the percentages of the components in each blend. The limits as well as the selling prices for the various grades are as follows: Grade Component Specifications Selling Price/Barrel Not less than 40% of 1 Regular Not more than 20% of 2 Not less than 30% of 3 $12 Premium Not less than 40% of 3 18 Diesel Not more than 50% of 2 Not less than 10% of 1 10 The refinery wants to produce at least 3,000 barrels of each grade of gasoline. Management wishes to determine the optimal mix of the four components that will maximize profit. Colote hlom A refinery blends four petroleum components into three grades of gasoline-regular, premium, and diesel. The maximum quantities available of each component and the cost per barrel are as follows: Component Maximum Barrels Available/Day Cost/Barrel 1 5,000 $ 9 2 2,400 7 3 4,000 12 1,500 6 To ensure that each gasoline grade retains certain essential characteristics, the refinery has put limits on the percentages of the components in each blend. The limits as well as the selling prices for the various grades are as follows: Grade Component Specifications Selling Price/Barrel Not less than 40% of 1 Regular Not more than 20% of 2 Not less than 30% of 3 $12 Premium Not less than 40% of 3 18 Diesel Not more than 50% of 2 Not less than 10% of 1 10 The refinery wants to produce at least 3,000 barrels of each grade of gasoline. Management wishes to determine the optimal mix of the four components that will maximize profit. Colote hlom