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
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 1C
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Question
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.
Transcribed Image Text:VOLTE
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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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