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Problem 3 Sensitivity Analysis. A masonry plant produces four types of breeze-blocks (a type of brick made from concrete rather than clay). There are three stages of the manufacturing process which require labor: Mixing, Vibrating, and Inspection. During the next month, there are 700 machine-hours available for mixing, 1100 machine-hours for vibration, and 340 man-hours for inspection. Each variety of breeze-block has its own set of manufacturing requirements given in Table 1 below. Variety 1 2 3 Profit ($) 8 Mixing (Mhrs) 1 5 4 10 15 22 2002 4 2 Vibrating (Mhrs) 2 Inspection (Mhrs) 0.5 0.6 1 Table 1: Required hours of labor for each process per one pallet of each variety of breeze-block. 8 5 2 (a) Model the problem of maximizing next months profit as a linear program and solve it. Report both your LP and optimal solution in your submission.

Problem 3 Sensitivity Analysis. A masonry plant produces four types of breeze-blocks (a type of brick made from concrete rather than clay). There are three stages of the manufacturing process which require labor: Mixing, Vibrating, and Inspection. During the next month, there are 700 machine-hours available for mixing, 1100 machine-hours for vibration, and 340 man-hours for inspection. Each variety of breeze-block has its own set of manufacturing requirements given in Table 1 below. Variety 1 2 3 Profit ($) 8 Mixing (Mhrs) 1 5 4 10 15 22 2002 4 2 Vibrating (Mhrs) 2 Inspection (Mhrs) 0.5 0.6 1 Table 1: Required hours of labor for each process per one pallet of each variety of breeze-block. 8 5 2 (a) Model the problem of maximizing next months profit as a linear program and solve it. Report both your LP and optimal solution in your submission.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Problem 3 Sensitivity Analysis. A masonry plant produces four types of breeze-blocks (a type of brick made from concrete rather than clay). There are three stages of the manufacturing process which require labor: Mixing, Vibrating, and Inspection. During the next month, there are 700 machine-hours available for mixing, 1100 machine-hours for vibration, and 340 man-hours for inspection. Each variety of breeze-block has its own set of manufacturing requirements given in Table 1 below. Variety 1 2 Profit ($) 8 00 4 3 10 15 22 Mixing (Mhrs) 1 Vibrating (Mhrs) 1.5 2 4 Inspection (Mhrs) 0.5 0.6 1 2 2 5 8 5 Table 1: Required hours of labor for each process per one pallet of each variety of breeze-block. (a) Model the problem of maximizing next months profit as a linear program and solve it. Report both your LP and optimal solution in your submission.
Transcribed Image Text:Problem 3 Sensitivity Analysis. A masonry plant produces four types of breeze-blocks (a type of brick made from concrete rather than clay). There are three stages of the manufacturing process which require labor: Mixing, Vibrating, and Inspection. During the next month, there are 700 machine-hours available for mixing, 1100 machine-hours for vibration, and 340 man-hours for inspection. Each variety of breeze-block has its own set of manufacturing requirements given in Table 1 below. Variety 1 2 Profit ($) 8 00 4 3 10 15 22 Mixing (Mhrs) 1 Vibrating (Mhrs) 1.5 2 4 Inspection (Mhrs) 0.5 0.6 1 2 2 5 8 5 Table 1: Required hours of labor for each process per one pallet of each variety of breeze-block. (a) Model the problem of maximizing next months profit as a linear program and solve it. Report both your LP and optimal solution in your submission.
(d) At what price would should be willing to rent 1 machine-hour of vibration to a competing producer? How many machine-hours can be rented out before your optimal solution changes.
Transcribed Image Text:(d) At what price would should be willing to rent 1 machine-hour of vibration to a competing producer? How many machine-hours can be rented out before your optimal solution changes.
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