I need to see solution $($Linear Programming Model$)$ for this question that I upolod as an image.

Question $4(60$ points$)$

The Mendoza family recently received a windfall because of tax cuts. They want to use part of this money to

establish an account to pay for their son's college education. Their son, James, will be starting college five years

from now. The Mendoza family estimate that his first year college expenses will amount to $$12,000$ and

increase $$2,000$ per year during each of the remaining three years of his education. An investment advisor offers

the following investments to the Mendoza family.

The Mendoza family wants to determine an investment plan that will provide the necessary funds to cover

James' anticipated college expenses with the smallest initial investment. Formulate a linear programming

problem for this scenario. You can use either Excel or R to formulate and solve the model; however, I think

Excel would be better here. What is the optimal solution? Mathematical formulation is needed and will carry

credit. The submission requirement is the same as shown on the notebook.