M&D Chemicals produces two products that are sold as raw materials to companies that manufacture bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demand for the coming month, M&D's management 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 also be satisfied. Product A requires 2 hours of processing time per gallon, and product B requires 1 hour of processing time per gallon. For the coming month, 600 hours of processing time are available. M&D's objective is to satisfy these requirements at a minimum total production cost. Production costs are $2 per gallon for product A and $3 per gallon for product B. Develop a Linear Programming Model to determine how many gallons of each product should be produced.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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M&D Chemicals produces two products that are sold as raw materials to companies that
manufacture bath soaps and laundry detergents.
Based on an analysis of current inventory levels and potential demand for the coming month, M&D's
management 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 also be satisfied.
Product A requires 2 hours of processing time per gallon, and product B requires 1 hour of
processing time per gallon. For the coming month, 600 hours of processing time are available.
M&D's objective is to satisfy these requirements at a minimum total production cost. Production
costs are $2 per gallon for product A and $3 per gallon for product B.
Develop a Linear Programming Model to determine how many gallons of each product should be
produced.
Transcribed Image Text:M&D Chemicals produces two products that are sold as raw materials to companies that manufacture bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demand for the coming month, M&D's management 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 also be satisfied. Product A requires 2 hours of processing time per gallon, and product B requires 1 hour of processing time per gallon. For the coming month, 600 hours of processing time are available. M&D's objective is to satisfy these requirements at a minimum total production cost. Production costs are $2 per gallon for product A and $3 per gallon for product B. Develop a Linear Programming Model to determine how many gallons of each product should be produced.
Based on your solution to the M&D Chemicals problem, what is the resulting Total Production cost ?
Transcribed Image Text:Based on your solution to the M&D Chemicals problem, what is the resulting Total Production cost ?
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