Can you help me solve this using POM QM v5 software 1 Mick Garcia, a certified financial planner (CFP) has been asked by a client to invest 2,500,000 This money may be placed in stocks, bonds, or a mutual fund in real estate The expected return on investment is 13 for stocks, 8 for bonds, and 10 for real estate While the client would like a very high expected return, she would be satisfied with a 10 expected return on her money Due to risk considerations, several goals have been established to keep the risk at an acceptable level One goal is to put at least 30 of the money in bonds Another goal is that the amount of money in real estate should not exceed 50 of the money invested in stocks and bonds combined In addition to these goals, there is one absolute restriction Under no circumstances should more than 1,500,000 be invested in any one area Formulate this as a goal programming problem Assume that all goals are equally important How much money should be put in each of the investment options What is the total return Which of the goals are not met 2 ZGT Electronics produces specially coded computer chips for laser surgery in 64MB, 256MB, and 512MB sizes (1MB means that the chip holds 1 million bytes of information ) To produce a 64MB chip requires 8 hours of labor, a 256MB chip takes 13 hours, and a 512MB chip requires 16 hours Hilliards monthly production capacity is 1,200 hours Mr Blank, the firms sales manager, estimates that the maximum monthly sales of the 64MB, 256MB, and 512MB chips are 40, 50, and 60, respectively The company has the following goals (ranked in order from most important to least important) 1 Fill an order from the best customer for thirty 64MB chips and thirty five 256MB chips 2 Provide sufficient chips to at least equal the sales estimates set by Mr Blank 3 Avoid underutilization of the production capacity Formulate this as a goal programming problem How many chips of different sizes should be produced Which of the goals is are met

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Question: Can you help me solve this using POM-QM v5 software 1. Mick Garcia, a certified financial planner (CFP) has been asked by a client to

Can you help me solve this using POM-QM v5 software

1. Mick Garcia, a certified financial planner (CFP) has been asked by a client to invest 2,500,000. This money may be placed in stocks, bonds, or a mutual fund in real estate. The expected return on investment is 13% for stocks, 8% for bonds, and 10% for real estate. While the client would like a very high expected return, she would be satisfied with a 10% expected return on her money. Due to risk considerations, several goals have been established to keep the risk at an acceptable level. One goal is to put at least 30% of the money in bonds. Another goal is that the amount of money in real estate should not exceed 50% of the money invested in stocks and bonds combined. In addition to these goals, there is one absolute restriction. Under no circumstances should more than 1,500,000 be invested in any one area.

1. Formulate this as a goal programming problem. Assume that all goals are equally important.
1. How much money should be put in each of the investment options?
1. What is the total return?
1. Which of the goals are not met?

2. ZGT Electronics produces specially coded computer chips for laser surgery in 64MB, 256MB, and 512MB sizes. (1MB means that the chip holds 1 million bytes of information.) To produce a 64MB chip requires 8 hours of labor, a 256MB chip takes 13 hours, and a 512MB chip requires 16 hours. Hilliards monthly production capacity is 1,200 hours. Mr. Blank, the firms sales manager, estimates that the maximum monthly sales of the 64MB, 256MB, and 512MB chips are 40, 50, and 60, respectively. The company has the following goals (ranked in order from most important to least important):

1. Fill an order from the best customer for thirty 64MB chips and thirty-five 256MB chips.

2. Provide sufficient chips to at least equal the sales estimates set by Mr. Blank.

3. Avoid underutilization of the production capacity.

Formulate this as a goal programming problem.
How many chips of different sizes should be produced?
Which of the goals is/are met?

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