A chemical firm produces two types of industrial solvents - S1 and S2. Each solvent is...

 

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A chemical firm produces two types of industrial solvents - S1 and S2. Each solvent is a mixture of three chemicals. Each kL of S1 requires 12L of chemical 1, 9L of chemical 2 and 30L of chemical 3. Each kL of S2 requires 24 L of Chemical 1, 5 L of chemical 2, and 30 L of chemical 3. Profit per kL of S1 is Tk 100, and profit per kL of S2 is Tk 85. The inventory of the company shows 480 L of chemical 1, 180 L of chemical 2, and 720 L of chemical C. Assume that the company can sell all the solvents it can make. Express the problem in the linear programming format. a. b. Identify the feasible zone. c. Find the optimal solution, and the profit at the optimal solution. d. Due to a market slump, profit per kL of S1 decreases to Tk 90, and profit per kL of S2 reduces to Tk 50. What will be the optimum solution? Any comment? A chemical firm produces two types of industrial solvents - S1 and S2. Each solvent is a mixture of three chemicals. Each kL of S1 requires 12L of chemical 1, 9L of chemical 2 and 30L of chemical 3. Each kL of S2 requires 24 L of Chemical 1, 5 L of chemical 2, and 30 L of chemical 3. Profit per kL of S1 is Tk 100, and profit per kL of S2 is Tk 85. The inventory of the company shows 480 L of chemical 1, 180 L of chemical 2, and 720 L of chemical C. Assume that the company can sell all the solvents it can make. Express the problem in the linear programming format. a. b. Identify the feasible zone. c. Find the optimal solution, and the profit at the optimal solution. d. Due to a market slump, profit per kL of S1 decreases to Tk 90, and profit per kL of S2 reduces to Tk 50. What will be the optimum solution? Any comment? A chemical firm produces two types of industrial solvents - S1 and S2. Each solvent is a mixture of three chemicals. Each kL of S1 requires 12L of chemical 1, 9L of chemical 2 and 30L of chemical 3. Each kL of S2 requires 24 L of Chemical 1, 5 L of chemical 2, and 30 L of chemical 3. Profit per kL of S1 is Tk 100, and profit per kL of S2 is Tk 85. The inventory of the company shows 480 L of chemical 1, 180 L of chemical 2, and 720 L of chemical C. Assume that the company can sell all the solvents it can make. Express the problem in the linear programming format. a. b. Identify the feasible zone. c. Find the optimal solution, and the profit at the optimal solution. d. Due to a market slump, profit per kL of S1 decreases to Tk 90, and profit per kL of S2 reduces to Tk 50. What will be the optimum solution? Any comment? A chemical firm produces two types of industrial solvents - S1 and S2. Each solvent is a mixture of three chemicals. Each kL of S1 requires 12L of chemical 1, 9L of chemical 2 and 30L of chemical 3. Each kL of S2 requires 24 L of Chemical 1, 5 L of chemical 2, and 30 L of chemical 3. Profit per kL of S1 is Tk 100, and profit per kL of S2 is Tk 85. The inventory of the company shows 480 L of chemical 1, 180 L of chemical 2, and 720 L of chemical C. Assume that the company can sell all the solvents it can make. Express the problem in the linear programming format. a. b. Identify the feasible zone. c. Find the optimal solution, and the profit at the optimal solution. d. Due to a market slump, profit per kL of S1 decreases to Tk 90, and profit per kL of S2 reduces to Tk 50. What will be the optimum solution? Any comment?

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Solution x units y units YRL b S IKL 52 IRL Inventory gx 5y 180 Che... View the full answer