JamTime Music Company manufactures two types of headsets: a basic model and a professional model. In order to manufacture the headsets, they go through two departments: assembly and testing. The assembly department has 9 workers who work 8 hours/day each. The testing department has 3 workers who also work 8 hours/day each. Each basic headset model spends 3 hours in the assembly department and 1.5 hours in the testing department. Each professional headset model spends 5 hours in the assembly department and 3 hours in the testing department. The company makes a net profit of $100 for each basic headset and $175 for each professional headset. JamTime Music Co. predicts that it will sell at least two times as many basic models as professional models. Using this information, determine the objective function to maximize profit. Use the variable B for the number of basic model headsets and P for the number of professional model headsets. a. 175B + 100P b. 100B + 175P c. 3B + 5P d. 5B + 3P
JamTime Music Company manufactures two types of headsets: a basic model and a professional model. In order to manufacture the headsets, they go through two departments: assembly and testing. The assembly department has 9 workers who work 8 hours/day each. The testing department has 3 workers who also work 8 hours/day each. Each basic headset model spends 3 hours in the assembly department and 1.5 hours in the testing department. Each professional headset model spends 5 hours in the assembly department and 3 hours in the testing department. The company makes a net profit of $100 for each basic headset and $175 for each professional headset. JamTime Music Co. predicts that it will sell at least two times as many basic models as professional models. Using this information, determine the objective function to maximize profit. Use the variable B for the number of basic model headsets and P for the number of professional model headsets. a. 175B + 100P b. 100B + 175P c. 3B + 5P d. 5B + 3P
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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JamTime Music Company manufactures two types of headsets: a basic model and a professional model. In order to manufacture the headsets, they go through two departments: assembly and testing. The assembly department has 9 workers who work 8 hours/day each. The testing department has 3 workers who also work 8 hours/day each. Each basic headset model spends 3 hours in the assembly department and 1.5 hours in the testing department. Each professional headset model spends 5 hours in the assembly department and 3 hours in the testing department. The company makes a net profit of $100 for each basic headset and $175 for each professional headset. JamTime Music Co. predicts that it will sell at least two times as many basic models as professional models. Using this information, determine the objective function to maximize profit. Use the variable B for the number of basic model headsets and P for the number of professional model headsets.
a. 175B + 100P
b. 100B + 175P
c. 3B + 5P
d. 5B + 3P
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