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. Lauren wants to know how much to invest in condominiums and land to maximize her annual return. Formulate an integer programming model for this problem. Define x1 as the number of units of condominium she would invest, x2 as acres of land she would invest and Z as the total annual return. Which of the following model formulations is correct?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
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Having trouble setting up the problem using excel solver and inputting the constraints
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. Lauren wants to know how much to invest in condominiums and land to
maximize her annual return. Formulate an integer programming model for this problem. Define x1 as
the number of units of condominium she would invest, x2 as acres of land she would invest and Z as
the total annual return. Which of the following model formulations is correct?
Transcribed Image Text: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. Lauren wants to know how much to invest in condominiums and land to maximize her annual return. Formulate an integer programming model for this problem. Define x1 as the number of units of condominium she would invest, x2 as acres of land she would invest and Z as the total annual return. Which of the following model formulations is correct?
Solve the previously formulated model (Lauren Moore's investment problem) by using Excel and
POM-QM, the optimal solution is
O x1=5, x2=4
x1=5, x2=4.5
x1=5.27, x2=4.36
O x1=5.43, x2=4
Transcribed Image Text:Solve the previously formulated model (Lauren Moore's investment problem) by using Excel and POM-QM, the optimal solution is O x1=5, x2=4 x1=5, x2=4.5 x1=5.27, x2=4.36 O x1=5.43, x2=4
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