Leary Chemical manufactures three chemicals: A, B, and C. These chemicals are produced via two production processes: 1 and 2. Running process 1 for an hour costs $4 and yields 3 units of A, 1 of B, and 1 of C. Running process 2 for an hour costs $1 and produces 1 unit of A and 1 of B. To meet customer demands, at least 10 units of A, 5 of B, and 3 of C must be produced daily. Processes cannot be run simultaneously, and total number of operational hours is limited to 12 hours. Construct an LP model to determine a daily production plan that minimizes the cost of meeting Leary Chemical’s daily demands.

Leary Chemical manufactures three chemicals: A, B, and C. These chemicals are produced via two production processes: 1 and 2. Running process 1 for an hour costs $4 and yields 3 units of A, 1 of B, and 1 of C. Running process 2 for an hour costs $1 and produces 1 unit of A and 1 of B. To meet customer demands, at least 10 units of A, 5 of B, and 3 of C must be produced daily. Processes cannot be run simultaneously, and total number of operational hours is limited to 12 hours. Construct an LP model to determine a daily production plan that minimizes the cost of meeting Leary Chemical’s daily demands.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter3: Introduction To Linear Programming

Section3.9: Production Process Models

Problem 5P

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