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Case Study: Lauren Moore has sold her business for $500,000 and wants to invest in condominium units (which she intends to rent) and land (which she will lease to a farmer). She estimates that she will receive an annual return of $8,000 for each condominium and $6,000 for each acre of land. A condominium unit costs $70,000, and land costs $30,000 per acre. A condominium will cost her $1,000 per unit, an acre of land will cost $2,000 for maintenance and upkeep, and $14,000 has been budgeted for these annual expenses. In regard to condominiums, Lauren is not interested in co-ownership agreements in which she might own a portion of a condo. She only wants to invest in whole condos. Lauren wants to know how much to invest in condominiums (X1) and land (X2) to maximize her annual return.
Maximize Z = 8,000 X1 + 6,000 X2
Question : What is the total amount of slack shared between both constraints of this LP problem?
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