15. The Investment Club at Bell Labs has solicited and obtained $50,000 from its members. Collectively, the members have selected the three stocks, two bond funds, and a tax-deferred annuity shown in the following table as possible investments (let Xi-$ invested in option i, i-1, 2, 3, 4, 5, and 6). Formulate and solve a linear program that will maximize the total projected annual return subject to the conditions set forth by the Investment Club members. Decision Variable Investment Stock EAL Stock -BRU Stock- TAT Bonds -long term Bonds short term Tax-deferred annuity Risk High Moderate Low Projected Annual Return 15% 12% 9% 11% 8% 6% X2 X4 Xs The club members have decided on the following strategies for investment: All $50,000 is to be invested. At least $10,000 is to be invested in the tax-deferred annuity At least 25% of the funds invested in stocks are to be in the low-risk stock (ie, TAT). No more than $12,500 of the total investment is to be placed in investments with projected annual returns of less than 10% (ie, TAT, Short term Bonds, and Tax-deferred annuity) At least as much is to be invested in bonds as stocks. . o . 15. The Investment Club at Bell Labs has solicited and obtained $50,000 from its members. Collectively, the members have selected the three stocks, two bond funds, and a tax-deferred annuity shown in the following table as possible investments (let Xi-$ invested in option i, i-1, 2, 3, 4, 5, and 6). Formulate and solve a linear program that will maximize the total projected annual return subject to the conditions set forth by the Investment Club members. Decision Variable Investment Stock EAL Stock -BRU Stock- TAT Bonds -long term Bonds short term Tax-deferred annuity Risk High Moderate Low Projected Annual Return 15% 12% 9% 11% 8% 6% X2 X4 Xs The club members have decided on the following strategies for investment: All $50,000 is to be invested. At least $10,000 is to be invested in the tax-deferred annuity At least 25% of the funds invested in stocks are to be in the low-risk stock (ie, TAT). No more than $12,500 of the total investment is to be placed in investments with projected annual returns of less than 10% (ie, TAT, Short term Bonds, and Tax-deferred annuity) At least as much is to be invested in bonds as stocks. . o