C. 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 80 per gallon for product A and 120 per gallon for product B. Formulate a linear programming model that will find the minimum- cost production schedule.

C. 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 80 per gallon for product A and 120 per gallon for product B. Formulate a linear programming model that will find the minimum- cost production schedule.

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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Question

Instruction: For the following linear programming problems, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables.

c. 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 80 per gallon for product A and 120 per
gallon for product B. Formulate a linear programming model that will find the minimum-
cost production schedule.
Che

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