$1.$ Do problem $13$ on pg$.851$ of the textbook. First do the complete LP formulation of the problem i$.$e$.$ all the $4-$steps of the LP formulation $($give definition of variables, objective function, constraints, and non$-$negativity constraint. What you type in LINGO is not complete formulation but a part of it$.).$ Then solve the problem using LINGO program. Submit both the formulation $($all $4-$steps$)$ and computer printout solution. Highlight the optimal solution in the computer printout including the optimal value of the objective function. $($Hint: profit$=$revenue$-$cost$)$

$2.$ Do the LP case $($Son$,$ Ltd$.)$ on pg$.853$ of the textbook. Just do Problem $1$ only at the end of the case show all work how you got the answers$).$ To do Problem $1,$ first do the LP formulation of the problem i$.$e$.$ all the $4-$steps of the LP formulation. Then solve the problem using LINGO program. Submit both the formulation $($all $4-$steps$)$ and computer printout solution. Computer printout should include the highlighted optimal solution.

Submit both the problems in one file with LINGO printouts provided for each problem.