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Barahan Plus Chemicals, Inc. produces two products that are sold as raw materials to companies manufacturing bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demand for the coming month, the company's management has specified that the combined production for products A and B must total at least 350 gallons. Separately, a major customer's order for 125 gallons of product A must be satisfied. Product A requires 2 hours of processing time per gallon while product B requires 1 hour of processing time per gallon, and for the coming month, 600 hours of processing time are available. Barahan Plus Chemicals' objective is to satisfy these requirements at a minimum total production cost. Production costs are P80 per gallon for product A and P120 per gallon for product B. Formulate a linear programming model that will find the minimum- cost production schedule. с.

Barahan Plus Chemicals, Inc. produces two products that are sold as raw materials to companies manufacturing bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demand for the coming month, the company's management has specified that the combined production for products A and B must total at least 350 gallons. Separately, a major customer's order for 125 gallons of product A must be satisfied. Product A requires 2 hours of processing time per gallon while product B requires 1 hour of processing time per gallon, and for the coming month, 600 hours of processing time are available. Barahan Plus Chemicals' objective is to satisfy these requirements at a minimum total production cost. Production costs are P80 per gallon for product A and P120 per gallon for product B. Formulate a linear programming model that will find the minimum- cost production schedule. с.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Barahan Plus Chemicals, Inc. produces two products that are sold as raw materials to companies manufacturing bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demand for the coming month, the company's management has specified that the combined production for products A and B must total at least 350 gallons. Separately, a major customer's order for 125 gallons of product A must be satisfied. Product A requires 2 hours of processing time per gallon while product B requires 1 hour of processing time per gallon, and for the coming month, 600 hours of processing time are available. Barahan Plus Chemicals' objective is to satisfy these requirements at a minimum total production cost. Production costs are P80 per gallon for product A and P120 per gallon for product B. Formulate a linear programming model that will find the minimum- c. cost production schedule.
Transcribed Image Text:Barahan Plus Chemicals, Inc. produces two products that are sold as raw materials to companies manufacturing bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demand for the coming month, the company's management has specified that the combined production for products A and B must total at least 350 gallons. Separately, a major customer's order for 125 gallons of product A must be satisfied. Product A requires 2 hours of processing time per gallon while product B requires 1 hour of processing time per gallon, and for the coming month, 600 hours of processing time are available. Barahan Plus Chemicals' objective is to satisfy these requirements at a minimum total production cost. Production costs are P80 per gallon for product A and P120 per gallon for product B. Formulate a linear programming model that will find the minimum- c. cost production schedule.
6. For the following linear programming problems, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. A hog raiser is mixing two types of grains A and B. Each unit of grain A costs P50 and a.
Transcribed Image Text:6. For the following linear programming problems, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. A hog raiser is mixing two types of grains A and B. Each unit of grain A costs P50 and a.
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