A business student has $$2,500$ available from a summer job and has identified three potential stocks in which to invest. The cost per share and expected return over the next $2$ years is given in the table. Stock A B C Price$/$Share $$12$ $$15$ $$30$ Return$/$Share $$8$ $$7$ $$11$ A$)$ Identify the decision variables, objective function and constraints in simple verbal statements. B$)$ Mathematically formulate a linear optimazation model. C$)$ Implement the linear optimization model that you developed for the investment scenario on a spreadsheet and use Solver to find an optimal solution. Interpret the Solver Answer report, identify the binding constraints, and verify the values of the slack variables by subsitituting the optimal solution.