Min $,6\mathrm{.}5x+5\mathrm{.}2Y$

Subject to

$-5x+4Y7$

$3x-5Y8$

$2x+Y6$

$x0$

$Y0$

Consider the linear optimization model displayed above.

Set$-$up the model in an Excel spreadsheet.

Use the Solver add$-$in to solve for the optimal solution.

Generate the answer and sensitivity reports from Solver.

After solving the problem and generating the Solver reports, answer the following questions:

a$)$ What is the optimal value of $x?($Round to three decimal places.$)$