AMCHEM Chemical Company produces three products: A, B, and C. Each product requires labor to produce it, and production of each product creates pollutants. By law the firm is not allowed to produce more than the following pollutants per day: 200 pounds of sulfur dioxide, 300 pounds of carbon monoxide, 150 pounds of hydrogen sulfide, and 50 pounds of benzene. The total number of person-hours of labor available per day is 6000. In addition, the total output per day of products A and B combined cannot be more than the output of product C. Each pound of product A generates a profit of $5, each pound of B generates $7, and each pound of C generates $4. Pollutant and labor rates per hundred pounds of product are given here. a. Formulate this problem as a linear program to maximize daily profit. b. Solve the problem using a computer.
AMCHEM Chemical Company produces three products: A, B, and C. Each product requires labor to produce it, and production of each product creates pollutants. By law the firm is not allowed to produce more than the following pollutants per day: 200 pounds of sulfur dioxide, 300 pounds of carbon monoxide, 150 pounds of hydrogen sulfide, and 50 pounds of benzene. The total number of person-hours of labor available per day is 6000. In addition, the total output per day of products A and B combined cannot be more than the output of product C. Each pound of product A generates a profit of $5, each pound of B generates $7, and each pound of C generates $4. Pollutant and labor rates per hundred pounds of product are given here.
a. Formulate this problem as a linear program to maximize daily profit.
b. Solve the problem using a computer.
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