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Kiana has a rectangular back yard that is 50 feet wide and 60 feet deep. She...

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Advance Math

Kiana has a rectangular back yard that is 50 feet wide and 60feet deep. She plans to construct a pool area and a patio area asshown in Figure 1. She can spend at most $10,500 on the project.The patio area must be at least as large as the pool area, whilestaying within the back yard area. The pool area will cost $5 persquare foot, the patio will cost $3 per square foot, and the poolarea should be at least 500 ft2.
When formulating a Linear Program (LP) to determine the depthof the pool and the depth of the patio while mini- mizing the totalback yard area unused, Kiana defined the following DecisionVariables:
x: depth (ft) of the patio area, y: depth (ft) of the poolarea.
Find the constraints and any redundant constraints
find the optimal solution

Answer & Explanation Solved by verified expert
4.1 Ratings (657 Votes)
The depth of patio is and of pool is Sotheir respective areas are and The patio areaat least as large as pool    See Answer
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