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A community playhouse needs to determine the lowest-cost production budget for an upcoming show. They have to determine which set pieces to construction and which to rent. The organization has only two weeks to construct the set. The theater has two carpenters who work up to 12 hours a week, each at $12 an hour. Additionally, the theater has a scenic artist who can work 15 hours per week to paint as needed at $16 per hour. The set needs 20 flats (walls), two hanging drops, and three wooden tables (props). The number of hours required for each piece for carpentry and painting is shown below. Flats, hanging drops, and props can also be rented at a cost of $75, $500, and $400 each, respectively. How many of each unit should be built by the theater and how many should be rented to minimize total cost?

A community playhouse needs to determine the lowest-cost production budget for an upcoming show. They have to determine which set pieces to construction and which to rent. The organization has only two weeks to construct the set. The theater has two carpenters who work up to 12 hours a week, each at $12 an hour. Additionally, the theater has a scenic artist who can work 15 hours per week to paint as needed at $16 per hour. The set needs 20 flats (walls), two hanging drops, and three wooden tables (props). The number of hours required for each piece for carpentry and painting is shown below. Flats, hanging drops, and props can also be rented at a cost of $75, $500, and $400 each, respectively. How many of each unit should be built by the theater and how many should be rented to minimize total cost?

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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Flats Hanging Drops Props Carpentry 0.5 3.0 2.0 Painting 2.0 13.0 3.0
Transcribed Image Text:Flats Hanging Drops Props Carpentry 0.5 3.0 2.0 Painting 2.0 13.0 3.0
A community playhouse needs to determine the lowest-cost production budget for an upcoming show. They have to determine which set pieces to construction and which to rent. The organization has only two weeks to construct the set. The theater has two carpenters who work up to 12 hours a week, each at $12 an hour. Additionally, the theater has a scenic artist who can work 15 hours per week to paint as needed at $16 per hour. The set needs 20 flats (walls), two hanging drops, and three wooden tables (props). The number of hours required for each piece for carpentry and painting is shown below. Flats, hanging drops, and props can also be rented at a cost of $75, $500, and $400 each, respectively. How many of each unit should be built by the theater and how many should be rented to minimize total cost? Click the icon to view the table of carpentry and painting hours. The optimal integer solution is to build flat(s) and rent flat(s); build hanging drop(s) and rent hanging drop(s); build prop(s) and rent prop(s). This solution gives the cost, which is $. (Type whole numbers.)
Transcribed Image Text:A community playhouse needs to determine the lowest-cost production budget for an upcoming show. They have to determine which set pieces to construction and which to rent. The organization has only two weeks to construct the set. The theater has two carpenters who work up to 12 hours a week, each at $12 an hour. Additionally, the theater has a scenic artist who can work 15 hours per week to paint as needed at $16 per hour. The set needs 20 flats (walls), two hanging drops, and three wooden tables (props). The number of hours required for each piece for carpentry and painting is shown below. Flats, hanging drops, and props can also be rented at a cost of $75, $500, and $400 each, respectively. How many of each unit should be built by the theater and how many should be rented to minimize total cost? Click the icon to view the table of carpentry and painting hours. The optimal integer solution is to build flat(s) and rent flat(s); build hanging drop(s) and rent hanging drop(s); build prop(s) and rent prop(s). This solution gives the cost, which is $. (Type whole numbers.)
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