a. Formulate the objective function and the constraint function for Philip's machinery. Determine the decision variables. b. Solve Philip's machinery simultaneously and graphically. What is the optimal solution? c. How many mixers and blenders should Philip include in its business plan for next year? d. How much profit will result?
a. Formulate the objective function and the constraint function for Philip's machinery. Determine the decision variables. b. Solve Philip's machinery simultaneously and graphically. What is the optimal solution? c. How many mixers and blenders should Philip include in its business plan for next year? d. How much profit will result?
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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Question
![Philips machinery is trying to determine its product mix for next year. It
produces two products, a mixer and a blender. Philips makes about $80 profit
on each mixer and $60 on each blender. Philip's factory capacity is limited by
labor, materials and machinery. Only 150,000 hours of labor are available next
year, and each mixer uses 10hours and each blender uses 5hours. Only 300,000
pounds of steel are available next year, and each mixer uses 10pounds and
each blender uses 15pounds. Only 190,000 machine hours are available next
year, and each mixer uses 5hours and each blender uses 4 hours.
a. Formulate the objective function and the constraint function for Philip's
machinery. Determine the decision variables.
b. Solve Philip's machinery simultaneously and graphically. What is the
optimal solution?
c. How many mixers and blenders should Philip include in its business plan
for next year? ..
d. How much profit will result?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc92ee26b-972a-4716-8c0a-d373f5d785f5%2F14e21fd3-9e01-4f02-adb7-5ca8485f7d2b%2Feeh2gpd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Philips machinery is trying to determine its product mix for next year. It
produces two products, a mixer and a blender. Philips makes about $80 profit
on each mixer and $60 on each blender. Philip's factory capacity is limited by
labor, materials and machinery. Only 150,000 hours of labor are available next
year, and each mixer uses 10hours and each blender uses 5hours. Only 300,000
pounds of steel are available next year, and each mixer uses 10pounds and
each blender uses 15pounds. Only 190,000 machine hours are available next
year, and each mixer uses 5hours and each blender uses 4 hours.
a. Formulate the objective function and the constraint function for Philip's
machinery. Determine the decision variables.
b. Solve Philip's machinery simultaneously and graphically. What is the
optimal solution?
c. How many mixers and blenders should Philip include in its business plan
for next year? ..
d. How much profit will result?
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