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 $10 an hour. Additionally, the theater has a scenic artist who can work 15 hours per week to paint 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, S500, and $400 each, respectively. How many of each unit should be built I theater and how many should be rented to minimize total cost? s needed at $14 per hour. The set needs 20 flats (walls), two hanging drops, and three wooden the E 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 V cost, which is Sn (Type whole numbers.) Carpentry and painting hours Flats Hanging Drops Props Caгpentry 0.5 2.0 Painting 3.0 13.0 4.0 3.0 Print Done

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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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 $10 an hour. Additionally, the theater has a scenic artist who can work 15 hours per week to paint as needed at $14 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?
E 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
(Type whole numbers.)
prop(s) and rent prop(s). This solution gives the
V cost, which is s
- X
Carpentry and painting hours
Сагрentry
Painting
Flats
Hanging Drops
Props
0.5
3.0
2.0
13.0
3.0
4.0
Print
Done
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 $10 an hour. Additionally, the theater has a scenic artist who can work 15 hours per week to paint as needed at $14 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? E 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 (Type whole numbers.) prop(s) and rent prop(s). This solution gives the V cost, which is s - X Carpentry and painting hours Сагрentry Painting Flats Hanging Drops Props 0.5 3.0 2.0 13.0 3.0 4.0 Print Done
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