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Question # 9.png

A theater needs to determine the lowest-cost production budget for an upcoming show. Specifically, they have to determine which set pieces to construct and which, if any, set pieces
to rent from another local theater at a predetermined fee. However, the organization has only two weeks to fully construct the set before the play goes into technical rehearsals. The
theater has two part-time carpenters who work up to 12 hours a week, each at $10 an hour, and a part-time scenic artist who can work 15 hours per week to paint the set and props
as needed at a rate of $14 per hour. The set design requires 22 flats (walls), 2 hanging drops with painted scenery, and 3 large wooden tables (props). The number of hours required
for each piece for carpentry and painting is shown in the accompanying table. Flats, hanging drops, and props can also be rented at a cost of $70.00, $550.00, and $350.00,
respectively. The theater wants to determine how many of each unit should be built by the theater and how many should be rented to minimize total costs. Develop a spreadsheet
model that computes the total cost for any mix of units built and rented, as well as the total hours required for carpenters and painters. Experiment with the model to attempt to find
the best solution that meets the labor availability and the required number of units of each type.
Click the icon to view the table of hours required for each piece.
The best solution requires building
flat ( s ) ,
hanging drop(s), and prop(s) at a cost of $ , and renting flat(s), hanging drop(s), and prop(s) at a
cost of $ . The total cost will be $
(Type integers or decimals. Do not round.)

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