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Niki holds two part-time jobs, Job I and Job II. She never wants to work more than a total of 12 hours a week. She has determined that for every hour she works at Job I, she needs 2 hours of preparation time, and for every hour she works at Job II, she needs one hour of preparation time, and she cannot spend more than 16 hours for preparation. If she makes $40 an hour at Job I, and $30 an hour at Job II, Identify the decision variables and state what they represent. i. Develop an objective function to maximize the total income Niki will make. Formulate the constraints expressions for the total hours per week and the total hours ii. 111.

Niki holds two part-time jobs, Job I and Job II. She never wants to work more than a total of 12 hours a week. She has determined that for every hour she works at Job I, she needs 2 hours of preparation time, and for every hour she works at Job II, she needs one hour of preparation time, and she cannot spend more than 16 hours for preparation. If she makes $40 an hour at Job I, and $30 an hour at Job II, Identify the decision variables and state what they represent. i. Develop an objective function to maximize the total income Niki will make. Formulate the constraints expressions for the total hours per week and the total hours ii. 111.

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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Niki holds two part-time jobs, Job I and Job II. She never wants to work more than a total of 12 hours a week. She has determined that for every hour she works at Job I, she needs 2 hours of preparation time, and for every hour she works at Job II, she needs one hour of preparation time, and she cannot spend more than 16 hours for preparation. If she makes $40 an hour at Job I, and $30 an hour at Job II, Identify the decision variables and state what they represent. i. Develop an objective function to maximize the total income Niki will make. ii. 111. iv. V. vi. Formulate the constraints expressions for the total hours per week and the total hours available to her for preparation. What solution method (s) can be used to solve this problem? Solve the above question using the method stated in (iv) to determine the number of hours she should work per week at each job to maximize her income? State the rule for optimality for the method used in (v).
Transcribed Image Text:Niki holds two part-time jobs, Job I and Job II. She never wants to work more than a total of 12 hours a week. She has determined that for every hour she works at Job I, she needs 2 hours of preparation time, and for every hour she works at Job II, she needs one hour of preparation time, and she cannot spend more than 16 hours for preparation. If she makes $40 an hour at Job I, and $30 an hour at Job II, Identify the decision variables and state what they represent. i. Develop an objective function to maximize the total income Niki will make. ii. 111. iv. V. vi. Formulate the constraints expressions for the total hours per week and the total hours available to her for preparation. What solution method (s) can be used to solve this problem? Solve the above question using the method stated in (iv) to determine the number of hours she should work per week at each job to maximize her income? State the rule for optimality for the method used in (v).
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