A manufacturer produces both widgets and gadgets. Widgets generate a profit of $45 each and gadgets have a profit margin of $55 each. To produce each item, a setup cost is incurred. This setup cost is $300 for widgets and $600 for gadgets. Widgets consume 4 units of raw material A and 7 units of raw material B. Gadgets consume 6 units of raw material A and 2 units of raw material B. Each day, the manufacturer has 400 units of each raw material available. Assume that it is possible to produce fractional quantities of widgets and gadgets. Set up the problem in Excel and find the optimal solution. Max P = 45 x + 55 x2 - 300 y - 600 y2 s.t. 4x + 6x2 < 400 {Raw material A} 7x1 + 2x2 < 400 {Raw material B} 9999y 2 x1 {Widget Setup Cost} 9999y2 2 X2 {Gadget Setup Cost} X1 , X2 2 0 and y» Y2 = 0,1 (Binary) Set up the problem in Excel and find the optimal solution. a. The manufacturer + widgets and + gadgets. (Leave no cells blank – be certain to enter "0" wherever required. Round your answers to 2 decimal places.) b. The manufacturer will produce widgets and gadgets (Round your answer to 2 decimal places.) c. The manufacturer's profit will be

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...
icon
Related questions
Question

1.

A manufacturer produces both widgets and gadgets. Widgets generate a profit of $45 each and gadgets
have a profit margin of $55 each. To produce each item, a setup cost is incurred. This setup cost is $300
for widgets and $600 for gadgets. Widgets consume 4 units of raw material A and 7 units of raw material
B. Gadgets consume 6 units of raw material A and 2 units of raw material B. Each day, the manufacturer
has 400 units of each raw material available. Assume that it is possible to produce fractional quantities of
widgets and gadgets.
Set up the problem in Excel and find the optimal solution.
Max P = 45 x + 55 x2 - 300 y - 600 Y2
s.t. 4x + 6x25 400 {Raw material A}
7x1 + 2x2 < 400 {Raw material B}
9999y 2 x {Widget Setup Cost}
9999y2 > x2 {Gadget Setup Cost}
X1 , X2 2 0 and yjv Y2 = 0,1 (Binary)
Set up the problem in Excel and find the optimal solution.
a. The manufacturer
+ widgets and
+ gadgets.
(Leave no cells blank – be certain to enter "0" wherever required. Round your answers to 2 decimal
places.)
b. The manufacturer will produce
widgets and
gadgets
(Round your answer to 2 decimal places.)
c. The manufacturer's profit will be
Transcribed Image Text:A manufacturer produces both widgets and gadgets. Widgets generate a profit of $45 each and gadgets have a profit margin of $55 each. To produce each item, a setup cost is incurred. This setup cost is $300 for widgets and $600 for gadgets. Widgets consume 4 units of raw material A and 7 units of raw material B. Gadgets consume 6 units of raw material A and 2 units of raw material B. Each day, the manufacturer has 400 units of each raw material available. Assume that it is possible to produce fractional quantities of widgets and gadgets. Set up the problem in Excel and find the optimal solution. Max P = 45 x + 55 x2 - 300 y - 600 Y2 s.t. 4x + 6x25 400 {Raw material A} 7x1 + 2x2 < 400 {Raw material B} 9999y 2 x {Widget Setup Cost} 9999y2 > x2 {Gadget Setup Cost} X1 , X2 2 0 and yjv Y2 = 0,1 (Binary) Set up the problem in Excel and find the optimal solution. a. The manufacturer + widgets and + gadgets. (Leave no cells blank – be certain to enter "0" wherever required. Round your answers to 2 decimal places.) b. The manufacturer will produce widgets and gadgets (Round your answer to 2 decimal places.) c. The manufacturer's profit will be
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.