$3.$ Your company has $$980,000$ in a stock brokerage account. As the financial economist of your company, you would like to reinvest the $$980,000$ in a portfolio that would maximize return on investment while at the same time maintaining a relatively conservative mix of stocks and bonds. The following table shows the investment opportunities and expected rates of return.

Investment Opportunity Expected Rate of Return

Corporate Bonds $9\mathrm{.}5$

Technology Stocks $1\mathrm{.}46$

Blue Chip Stocks $7\mathrm{.}5$

Treasury Bonds $7\mathrm{.}0$

The Investment Committee has mandated that at least $60$ percent of the investment consist of a combination of corporate and treasury bonds, $25$ percent Blue Chip Stock, and no more than $15$ percent Technology Stock. Formulate this portfolio selection problem using linear programming, i$.$e$.,$ determine the objection function and the constraints.