Product Mix: Manufacturing. Kraftcorp manufactures two molded plastic saucer-like toys, T1 and T2. Each of these products must go through two manufacturing processes, A and B. Each unit of T1 requires one hour in Process A and 1 1⁄2 hours in Process B; each unit of T2 requires 2 hours in Process A and 3⁄4 hour in Process B. The machinery supporting Process A currently has weekly machine-hour capacity of 100 hours, and the weekly capacity of Process B machinery is 90 machine-hours. Per unit profits on T1 and T2 are $100 and $150, respectively. a. Formulate the LP model for this problem. b. Use the Simplex Method to determine the optimal product mix that will give the maximum profit.
Product Mix: Manufacturing. Kraftcorp manufactures two molded plastic saucer-like toys, T1 and T2. Each of these products must go through two manufacturing processes, A and B. Each unit of T1 requires one hour in Process A and 1 1⁄2 hours in Process B; each unit of T2 requires 2 hours in Process A and 3⁄4 hour in Process B. The machinery supporting Process A currently has weekly machine-hour capacity of 100 hours, and the weekly capacity of Process B machinery is 90 machine-hours. Per unit profits on T1 and T2 are $100 and $150, respectively. a. Formulate the LP model for this problem. b. Use the Simplex Method to determine the optimal product mix that will give the maximum profit.
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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Product Mix: Manufacturing.
Kraftcorp manufactures two molded plastic saucer-like toys, T1 and T2. Each of these
products must go through two manufacturing processes, A and B. Each unit of T1
requires one hour in Process A and 1 1⁄2 hours in Process B; each unit of T2 requires 2
hours in Process A and 3⁄4 hour in Process B. The machinery supporting Process A
currently has weekly machine-hour capacity of 100 hours, and the weekly capacity of
Process B machinery is 90 machine-hours. Per unit profits on T1 and T2 are $100 and
$150, respectively.
a. Formulate the LP model for this problem.
b. Use the Simplex Method to determine the optimal product mix that will give the
maximum profit.
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