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Rosenberg Land Development (RLD) is a developer of condominium properties in the Southwest United States. RLD...

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Basic Math

Rosenberg Land Development (RLD) is a developer of condominiumproperties in the Southwest United States. RLD has recentlyacquired a 40.625 acre site outside Phoenix, Arizona. Zoningrestrictions allow at most 8 units per acre. Three types ofcondominiums are planned: one-, two-, and three-bedroom units. Theaverage construction costs for each type of unit are $450,000,$600,000 and $750,000, respectively. These units will generate anet profit of 10%. The company has equity and loans totaling $180million dollars for this project. From prior development projects,senior managers have determined that there must be a minimum of 15%one-bedroom units, 25% two-bedroom units, and 25% three-bedroomunits.

a. Develop a linear optimization model to determine how many ofeach type of unit the developer should build.

b. Find an optimal solution by Solver in Excel.

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