:

$1.$ A retail chain has $6$ stores in a region supplied from $3$ supply sources. Trucks have a capacity of $25,000$ units and

cost $$(1000+3*$X$)$ per load plus $$(100-$X$/2)$ per delivery. The cost of holding one unit in inventory at retail for a year

is $$1\mathrm{.}5.$ The managers will set up milk runs from suppliers to retail stores. Assume that all trucks travel full. Suppliers

are considering whether to run a milk run to $2$ stores