Southern California Chemical Company manufactures two industrial chemical products, called kreolitered and kreolite-blue. Two machines are used in the process, and each machine has 24 hours of capacity per day. The following data are available: Kreolite-Red Kreolite-Blue Selling price per drum ................................... $36 $42Variable cost per drum .................................. $28 $28Hours required per drum on machine I .. 2 hr 2 hrHours required per drum on machine II . 1 hr 3 hr The company can produce and sell partially full drums of each chemical. For example, a half drum of kreolite-red sells for $18. Required:1. Formulate the product-mix problem as a linear program.2. Solve the problem graphically.
Southern California Chemical Company manufactures two industrial chemical products, called kreolitered and kreolite-blue. Two machines are used in the process, and each machine has 24 hours of capacity per day. The following data are available:
Kreolite-Red Kreolite-Blue
Selling price per drum ................................... $36 $42
Variable cost per drum .................................. $28 $28
Hours required per drum on machine I .. 2 hr 2 hr
Hours required per drum on machine II . 1 hr 3 hr
The company can produce and sell partially full drums of each chemical. For example, a half drum of kreolite-red sells for $18.
Required:
1. Formulate the product-mix problem as a linear program.
2. Solve the problem graphically.
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