Homework #3 Name:______________________________________1. (3 points) Sears ships appliances from 3 supply centers to 3 retail outlets (Table below). Determine the quantities to be shipped from the supply centers to the retail outlets which minimize the transportation costs.Shipping Cost TableShipping to >> Outlet 1 Outlet 2 Outlet 3Supply Centers SupplyCenter 1 $3 $6 $4 35Center 2 $3 $5 $6 25Center 3 $3 $4 $6 40Demand >> 30 40 302. (3 points) Assign the Job (A B C D) to the Machine (W X Y Z) to minimize production:Production TableW X Y ZA 10 14 12 10B 13 12 13 12C 10 12 13 14D 13 16 15 103(a) (2 points) Develop a trend line equation for the demand for the following data:(use regression)Year Demand for iPods (in thousands)1 102 93 74 85 106 117 108 129 1310 1511 133(b) (2 points) Use the trend line equation to project the demand for Year 12.