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 $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 $400 each, respectively. How many of each unit should be built by the theater and how many should be rented to minimize total cost? flat(s); build The optimal integer solution is to build flat(s) and rent build prop(s) and rent prop(s). This solution gives the (Type whole numbers.) hanging drop(s) and rent hanging drop(s) cost, which is $

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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 $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 $400 each, respectively.
How many of each unit should be built by the theater and how many should be rented to minimize total cost?
The optimal integer solution is to build flat(s) and rent flat(s); build
build prop(s) and rent prop(s). This solution gives the
(Type whole numbers.)
hanging drop(s) and rent hanging drop(s)
cost, which is S
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 $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 $400 each, respectively. How many of each unit should be built by the theater and how many should be rented to minimize total cost? The optimal integer solution is to build flat(s) and rent flat(s); build build prop(s) and rent prop(s). This solution gives the (Type whole numbers.) hanging drop(s) and rent hanging drop(s) cost, which is S
Carpentry and painting hours
Flats
Hanging Drops
Props
Print
Carpentry
0.5
2.0
3.0
Done
Painting
3.0
13.0
4.0
X
Transcribed Image Text:Carpentry and painting hours Flats Hanging Drops Props Print Carpentry 0.5 2.0 3.0 Done Painting 3.0 13.0 4.0 X
Expert Solution
steps

Step by step

Solved in 3 steps with 17 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,