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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 $12 an hour. Additionally, the theater has a scenic artist who can work 15 hours per week to paint as needed at $16 per hour. The set needs 20 ats (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 $350 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. E The optimal integer solution is to build |:| at(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 El cost, which is $|:|. (Type whole numbers.) Carpentry and Painting Hours Carpentry Painting Flats 0.5 2.0 Hanging Drops 3.0 12.0 Props 2.0 3.0