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 14 hours a week, each at $11 an hour, and a part-time scenic artist who can work 20 hours per week to paint the set and props as needed at a rate of $15 per hour. The set design requires 19 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 $80.00, $650.00, and $300.00, 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.

n Flats Hanging Drops Props Carpentry 0.5 2.0 2.5 Painting 2.0 11.0 4.5 n Flats Hanging Drops Props Carpentry 0.5 2.0 2.5 Painting 2.0 11.0 4.5