29 Jun Linear Programming & Sensitivity Analysis ( A Hotel Case Study)
Question
Linear Programming & Sensitivity Analysis — Hotel Case A manager of hotel is trying to decide how many suites to build and how many deluxe rooms to build. -Suites are 800 sq ft -Deluxe are 500 sq ft The total hotel has 80,000 sq ft available for rooms. The hotel maintains that at least 60% of the rooms be deluxe, or else they will be considered a luxury hotel. -Suites take 40 hours of labor to build -Deluxe take 30 hours of labor to build The hotel is currently a shell, which means the rooms still need to be built. They have 24 months to build all the rooms (roughly 4000 hours). Suites yield a profit of $200 Regular rooms yield a profit of $130 X = # of suites to make Y = # of regular rooms to make MAX: 200X + 130Y ST: 800X + 500Y <= 80,000 40X + 30Y <= 4000 Y >= .60(X+Y) X,Y >= 0 a) solve the problem and use graphical representation solution b) create sensitivity report
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