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Monte Inc produces two products: bed matresses and box springs. A prior contract requires that the firm produce at least 40 matresses ot box springs in any combination. In addition, union labor agreements demands that stitching machines be kept rynning at least 30 hours per week, which is one production period. Each box spring takes two hours of stitching time, while matress takes one hour on the machine. Each matress produced cost $40, each box spring cost $30. Formulate this problem so as to minimize total production cost. Required: 1.decision variable 2. Objective function 3. Constraints 4. Complete solution 5. Graph 6. Compute the valye of X and Y at each point.

Monte Inc produces two products: bed matresses and box springs. A prior contract requires that the firm produce at least 40 matresses ot box springs in any combination. In addition, union labor agreements demands that stitching machines be kept rynning at least 30 hours per week, which is one production period. Each box spring takes two hours of stitching time, while matress takes one hour on the machine. Each matress produced cost $40, each box spring cost $30. Formulate this problem so as to minimize total production cost. Required: 1.decision variable 2. Objective function 3. Constraints 4. Complete solution 5. Graph 6. Compute the valye of X and Y at each point.

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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Monte Inc produces two products: bed matresses and box springs. A prior contract requires that the firm produce at least 40 matresses ot box springs in any combination. In addition, union labor agreements demands that stitching machines be kept rynning at least 30 hours per week, which is one production period. Each box spring takes two hours of stitching time, while matress takes one hour on the machine. Each matress produced cost $40, each box spring cost $30. Formulate this problem so as to minimize total production cost.

Required:

1.decision variable

2. Objective function

3. Constraints

4. Complete solution

5. Graph

6. Compute the valye of X and Y at each point. 

VOLTE O N 56 | 2:09 < 88 activity Ip graphical_-743697109 Follow the steps in solving. 1. Buenaflor Brewery Corp. manufactures two products, Regular wine and Sweet wine. Three machines: Assembling, Processing and Finishing process each product. Each unit of Regular wine requires 5 hours of Assembling, 4 hours of Processing and 5 hours of Finishing. For Sweet wine, it requires 4 hours of Assembling, 6 hours of Processing and 6 hours of Finishing. The profit on Regular wine is $50.00 per unit while Sweet wine is $55.00 per unit. If Processing and Finishing has 1200 hours while Assembling has 1500 hours each month and the company is required to produce at least 50 units per product. How many products of each type can be manufactured in one month in order to maximize profits? Required: 1. Formulate the following: a. Decision Variable b, Objective Function c. Constraints 2. Show complete solutions and label the graph properly. 3. Name the vertices. 4. Compute for the value of X and Y at each point. 5. How many products of each type can be manufactured in one month in order to maximize profits if the company is required to produce at least 50 units per product? 2. Monte Inc produces two products: bed matresses and box springs. A prior contract requires that the firm produce at least 30 matresses or box springs in any combination. In addition, union labor agreements demand that stitching machines be kept running at least 30 hours per week, which is one production period. Each box spring takes two urs of stitching time, while each matress takes one hour on matress produced costs P40, each box spring cost P30. Formulate this problem so as to minimize total production cost. Required: 1. Formulate the following: a. Decision Variable b, Objective Function c. Constraints 2. Show complete solutions and label the graph properly. 3. Name the vertices. 4. Compute for the value of X and Y at each point. 5. How many products of each type can be manufactured in one production period in order to minimize cost? Ea
Transcribed Image Text:VOLTE O N 56 | 2:09 < 88 activity Ip graphical_-743697109 Follow the steps in solving. 1. Buenaflor Brewery Corp. manufactures two products, Regular wine and Sweet wine. Three machines: Assembling, Processing and Finishing process each product. Each unit of Regular wine requires 5 hours of Assembling, 4 hours of Processing and 5 hours of Finishing. For Sweet wine, it requires 4 hours of Assembling, 6 hours of Processing and 6 hours of Finishing. The profit on Regular wine is $50.00 per unit while Sweet wine is $55.00 per unit. If Processing and Finishing has 1200 hours while Assembling has 1500 hours each month and the company is required to produce at least 50 units per product. How many products of each type can be manufactured in one month in order to maximize profits? Required: 1. Formulate the following: a. Decision Variable b, Objective Function c. Constraints 2. Show complete solutions and label the graph properly. 3. Name the vertices. 4. Compute for the value of X and Y at each point. 5. How many products of each type can be manufactured in one month in order to maximize profits if the company is required to produce at least 50 units per product? 2. Monte Inc produces two products: bed matresses and box springs. A prior contract requires that the firm produce at least 30 matresses or box springs in any combination. In addition, union labor agreements demand that stitching machines be kept running at least 30 hours per week, which is one production period. Each box spring takes two urs of stitching time, while each matress takes one hour on matress produced costs P40, each box spring cost P30. Formulate this problem so as to minimize total production cost. Required: 1. Formulate the following: a. Decision Variable b, Objective Function c. Constraints 2. Show complete solutions and label the graph properly. 3. Name the vertices. 4. Compute for the value of X and Y at each point. 5. How many products of each type can be manufactured in one production period in order to minimize cost? Ea
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