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 $15 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 $80, $500, and $350 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 cost, which is $ the (Type whole numbers.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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built by the theater and now man
Carpentry and Painting Hours
Flats
Hanging Drops
Props
Print
Carpentry
0.5
3.0
Done
Painting
X
(s);
Transcribed Image Text:built by the theater and now man Carpentry and Painting Hours Flats Hanging Drops Props Print Carpentry 0.5 3.0 Done Painting X (s);
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 $15 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 $80, $500, and $350 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
the
cost, which is $
(Type whole numbers.)
hanging drop(s) and rent
hanging drop(s); build prop(s) and rent
prop(s). This solution gives
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 $15 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 $80, $500, and $350 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 the cost, which is $ (Type whole numbers.) hanging drop(s) and rent hanging drop(s); build prop(s) and rent prop(s). This solution gives
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