As a managerial accountant at NASA trust funds company, your

boss Faisal recently asked you for help with their investment

problem. The problem is as follows: the company has $$100,000$ in

their cash budget, and would like to use this money to set up an

investment portfolio. As an initial investment strategy, Faisal would

like to restrict the portfolio to a mix of the following investment

options:

Following the strategic policy of the NASA company, the money

allocated to the banking sector stocks must not exceed $$50,000,$ and

the money allocated to the industrial sector stocks must not exceed

$$50,000.$ Furthermore, the money allocated to the money market

fund must at least be $\%25$ of the money allocated to the industrial

sector stocks, and the money allocated to the investment option with

the highest expected rate of return must not exceed $\%60$ of the

money allocated to the sector that this investment option belongs to$.$

Instruction:

Formulate a linear programming model that can be used to

determine the percentage that should be allocated to each of

the possible investment options.

Solve the problem using the simplex method.