1.)Rockbottom Sand and Gravel Company has contracts to deliver the following amounts of broken rock to six customers:

CustomerABCDEF

Contracted amount (tons)126234

Rockbottom has five trucks that may be used to make these deliveries. With the use of dividers, a truck can deliver to multiple customers, as long as it does not exceed the truck's capacity. However, a customer's order cannot be broken up and delivered by multiple trucks. The available trucks and their capacities are:

Truck #12345

Capacity (tons)48486

The costs, in $000s, for each truck to deliver the required load to each customer are:

Customer

TruckABCDEF

1171921202021

2151820181923

3181922222122

4151619181820

5161520221920

Develop a linear program to determine the delivery plan that will allow Rockbottom to minimize the cost of fulfilling their contracts.