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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 4 Profit ($) 8 10 15 22 5 8 Mixing (Mhrs) 1 2 Vibrating (Mhrs) 1.5 2 Inspection (Mhrs) 0.5 0.6 1 2 4 5 Table 1: Required hours of labor for each process per one pallet of each variety of breeze-block.

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 4 Profit ($) 8 10 15 22 5 8 Mixing (Mhrs) 1 2 Vibrating (Mhrs) 1.5 2 Inspection (Mhrs) 0.5 0.6 1 2 4 5 Table 1: Required hours of labor for each process per one pallet of each variety of breeze-block.

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.
(b) Find the Shadow Price of each of the three processes as they relate to your optimal solution and report them here. Describe how you found the prices and identify the units for each price.
Transcribed Image Text:(b) Find the Shadow Price of each of the three processes as they relate to your optimal solution and report them here. Describe how you found the prices and identify the units for each price.
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