The following is a linear programming problem.

$(5\mathrm{.}46)$

subject to

$(5\mathrm{.}47)$

$(5\mathrm{.}48)$

$(5\mathrm{.}49)$

$($a$)$ Solve the above linear optimization problem using the linprog command in

MATLAB.

$($b$)$ Solve the above problem using the fmincon command in MATLAB. Compare

the results with the results obtained in $($a$).$