Question 3 Kim finally got his own baking factory. However, he found that the factory is too oily. He decides to hire cleaning teams and figures out that there are 4 sections to be cleaned. Each section can only be cleaned by one team. For each team, you must pay 'Contract Payment' for the regular workday. Once the cost is paid, each team can clean up to the following amount of area. Team 1: 150 ft² Team 2: 120 ft² Team 3: 170 ft² Team 4: 80 ft² In addition, if you pay the Contract payment, you may also pay Overtime Work Payment, and each team can clean up to an extra 30 ft². On the other hand, if you do not pay Contract Payment, you can't ask for overtime. The costs are as follows, Team 1 Team 2 Team 3 Team 4 Contract Payment $900 1000 800 750 Team 1 Team 2 Team 3 Team 4 Each team estimates the area of the sections by its own way. The ft² of each section that each team estimate to clean is as follows: Section 1 22 19 24 25 Section 2 16 17 19 16 Overtime Work Payment $350 240 300 200 b. Develop the Objective Function. c. Find the Constraints. Section 3 31 32 25 30 Kim wants to clean every section of his baking factory with minimum cost. Section 4 9 8 10 7 a. Define Decision Variables. Your definition must include unit size & time frame.
Question 3 Kim finally got his own baking factory. However, he found that the factory is too oily. He decides to hire cleaning teams and figures out that there are 4 sections to be cleaned. Each section can only be cleaned by one team. For each team, you must pay 'Contract Payment' for the regular workday. Once the cost is paid, each team can clean up to the following amount of area. Team 1: 150 ft² Team 2: 120 ft² Team 3: 170 ft² Team 4: 80 ft² In addition, if you pay the Contract payment, you may also pay Overtime Work Payment, and each team can clean up to an extra 30 ft². On the other hand, if you do not pay Contract Payment, you can't ask for overtime. The costs are as follows, Team 1 Team 2 Team 3 Team 4 Contract Payment $900 1000 800 750 Team 1 Team 2 Team 3 Team 4 Each team estimates the area of the sections by its own way. The ft² of each section that each team estimate to clean is as follows: Section 1 22 19 24 25 Section 2 16 17 19 16 Overtime Work Payment $350 240 300 200 b. Develop the Objective Function. c. Find the Constraints. Section 3 31 32 25 30 Kim wants to clean every section of his baking factory with minimum cost. Section 4 9 8 10 7 a. Define Decision Variables. Your definition must include unit size & time frame.
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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Transcribed Image Text:Question 3
Kim finally got his own baking factory. However, he found that the factory is too
oily. He decides to hire cleaning teams and figures out that there are 4 sections to
be cleaned. Each section can only be cleaned by one team.
For each team, you must pay 'Contract Payment' for the regular workday. Once
the cost is paid, each team can clean up to the following amount of area.
Team 1: 150 ft² Team 2: 120 ft² Team 3: 170 ft² Team 4: 80 ft²
In addition, if you pay the Contract payment, you may also pay Overtime Work
Payment, and each team can clean up to an extra 30 ft². On the other hand, if you
do not pay Contract Payment, you can't ask for overtime.
The costs are as follows,
Team 1
Team 2
Team 3
Team 4
Contract Payment
$ 900
1000
800
750
Team 1
Team 2
Team 3
Team 4
Each team estimates the area of the sections by its own way. The ft² of each
section that each team estimate to clean is as follows:
Section 1
22
19
24
25
Overtime Work Payment
$350
240
300
200
Section 2
16
17
19
16
c. Find the Constraints.
Section 3
31
32
25
30
Section 4
9
8
10
7
Kim wants to clean every section of his baking factory with minimum cost.
a. Define Decision Variables. Your definition must include unit size & time frame.
b. Develop the Objective Function.
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