Linear Programming Problem Do-It Mutual Funds Sdn Bhd is an investment firm located in Kuala Lumpur. Do-It is now looking to invest RM1,000,000. Based on Do-It's current investments, the firm's top financial analyst recommends that all investments be made in the oil & gas industry, plantation industry, or in government bonds. They identified five investment opportunities and projected their annual rates of return. The investments and rates of return are shown below. Investment Industry Oil & Gas Type of Investment Commodity Projected Rate of Return (%) 10.5 Risk Profile High Pacific Gast Borneo Carigali Oil & Gas Oil & Gas Stock 7.4 Medium Muda Plantation Plantation. Commodity 5.0 Medium KP Estates Plantation Stock 7.5 High Government bonds n/a Bond 4.0 Low In order to manage risk, the management of Do-It has imposed several guidelines. 1. Neither industry (oil & gas, or plantation) should receive more than a total of RM500,000. 2. Government bonds should be at least 25% of the total investment. 3. The total investment in the high risk profile cannot be more than 40% of the total investment. 4. The total investment in the medium risk profile cannot be more than 60% of the total investment. 5. Minimum amount that can be invested in one commodity is RM100,000. Managerial Report Assume that you are one of investment analysts working with Do-It. Your investment manager asked you to prepare an investment plan. All RM1,000,000 that is available must be invested. Your investment plan must consist of, but not limited to the followings. 1. Information showing the amount should be made for each investment and projected total return. 2. Detailed breakdown of investment and their expected return, according to industry, type of investment and risk profile. 3. Mathematical model of Do-It's problem In addition to above, as you have previously involved in analyzing REIT markets (Industry: n/a; Type of investment: REIT), you believed that you can maximize the total return by investing in REIT too. Based on your analysis, REIT can be considered as having a medium risk. You went through report on REIT you have prepared previously, and found two interesting investment opportunities. Projected Rate of Return (%) Investment Sunday REIT 7.5 Harta REIT 6.3 However, there is one additional restriction imposed by Do-It to a new type of investment. Total amount invested in new type of investment must not go beyond 30% of the total investment. Your alternative investment plan must consist of, but not limited to the followings, this time with the inclusion of REIT. 1 Information showing the amount should be made for each investment and projected total return. 2. Detailed breakdown of investment and their expected return, according to industry, type of investment and risk profile. 3. Mathematical model of Do-It's problem Linear Programming Problem Do-It Mutual Funds Sdn Bhd is an investment firm located in Kuala Lumpur. Do-It is now looking to invest RM1,000,000. Based on Do-It's current investments, the firm's top financial analyst recommends that all investments be made in the oil & gas industry, plantation industry, or in government bonds. They identified five investment opportunities and projected their annual rates of return. The investments and rates of return are shown below. Investment Industry Oil & Gas Type of Investment Commodity Projected Rate of Return (%) 10.5 Risk Profile High Pacific Gast Borneo Carigali Oil & Gas Oil & Gas Stock 7.4 Medium Muda Plantation Plantation. Commodity 5.0 Medium KP Estates Plantation Stock 7.5 High Government bonds n/a Bond 4.0 Low In order to manage risk, the management of Do-It has imposed several guidelines. 1. Neither industry (oil & gas, or plantation) should receive more than a total of RM500,000. 2. Government bonds should be at least 25% of the total investment. 3. The total investment in the high risk profile cannot be more than 40% of the total investment. 4. The total investment in the medium risk profile cannot be more than 60% of the total investment. 5. Minimum amount that can be invested in one commodity is RM100,000. Managerial Report Assume that you are one of investment analysts working with Do-It. Your investment manager asked you to prepare an investment plan. All RM1,000,000 that is available must be invested. Your investment plan must consist of, but not limited to the followings. 1. Information showing the amount should be made for each investment and projected total return. 2. Detailed breakdown of investment and their expected return, according to industry, type of investment and risk profile. 3. Mathematical model of Do-It's problem In addition to above, as you have previously involved in analyzing REIT markets (Industry: n/a; Type of investment: REIT), you believed that you can maximize the total return by investing in REIT too. Based on your analysis, REIT can be considered as having a medium risk. You went through report on REIT you have prepared previously, and found two interesting investment opportunities. Projected Rate of Return (%) Investment Sunday REIT 7.5 Harta REIT 6.3 However, there is one additional restriction imposed by Do-It to a new type of investment. Total amount invested in new type of investment must not go beyond 30% of the total investment. Your alternative investment plan must consist of, but not limited to the followings, this time with the inclusion of REIT. 1 Information showing the amount should be made for each investment and projected total return. 2. Detailed breakdown of investment and their expected return, according to industry, type of investment and risk profile. 3. Mathematical model of Do-It's