List the Decision Variables and Write the Objective Function as well as list the Constraints

 

Nancy Smith has $250,000 to invest in three alternative investments-condominiums, land, and municipal bonds. She wants to invest in the alternatives that will result in the greatest return on investment after 1 year. Each condominium costs $50,000 and will return a profit of $9,000 if sold at the end of 1 year; each acre of land costs $12,000 and will return a profit of $1,500 at the end of 1 year; and each municipal bond costs $8,000 and will result in a return of $1,000 if sold at the end of 1 year. In addition, there are only 4 condominiums, 15 acres of land, and 20 municipal bonds available for purchase. Nancy wants to know number of condominiums, bonds, and acres of land to invest in order to maximize her annual return.