Use the transportation model to develop the minimum cost production schedule for the products and machines.

Min

s$.$t$.$

Machine $1$ Capacity

Machine $2$ Capacity

Machine $3$ Capacity

Product A Orders

Product B Orders

Product C Orders

$x_{ij}0$ for all $i,j.$

$($b$)$ Show the production schedule.

$\{$:$(x_{A1},x_{A2},x_{A3},x_{B1},x_{B2},x_{B3},x_{C1},x_{C2},x_{C3})=1)$

$($c$)$ Determine the cost $($in dollars$)$ of the production schedule.

Total $=$$The Ace Manufacturing Company has orders for three similar products.

depending on the machine used. Machine capacities for the next week and the unit costs are shown below.