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Category > Business & Finance Posted 22 Jul 2017 My Price 8.00

A manufacturer of bathroom fixtures produces fiberglass bathtubs

A manufacturer of bathroom fixtures produces fiberglass bathtubs in an assembly operation consisting of three processes: molding, smoothing, and painting. The number of units that can be put through each process in an hour is as follows:

Process

Output (units/hr)

Molding

7

Smoothing

12

Painting

10

(Note: The three processes are continuous and sequential; thus, no more units can be smoothed or painted than have been molded.) The labor costs per hour are $8 for molding, $5 for smoothing, and $6.50 for painting. The company"s labor budget is $3000 per week. A total of 120 hours of labor is available for all three processes per week. Each completed bathtub requires 90 pounds of fiberglass, and the company has a total of 10,000 pounds of fiberglass available each week. Each bathtub earns a profit of $175. The manager of the company wants to know how many hours per week to run each process in order to maximize profit. Formulate and solve a linear programming model for this problem

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Status NEW Posted 22 Jul 2017 12:07 PM My Price 8.00

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