shoe company forecasts the following demands during

the next six months: month $1200$; month $2260$; month

$3240$; month $4340$; month $5190$; month $6150.$ It

costs $$7$ to produce a pair of shoes with regular$-$time labor

$($RT$)$ and $$11$ with overtime labor $($OT$).$ During each month,

regular production is limited to $200$ pairs of shoes, and

overtime production is limited to $100$ pairs. It costs $$1$ per

month to hold a pair of shoes in inventory. Formulate a

balanced transportation problem to minimize the total cost

of meeting the next six months of demand on tim