Economics homework help

Having Trouble building the linear model for question below.Build a model to minimize the transportation cost of a logistics system that will deliverskateboards from the factories to the distribution centers and from the distributioncenters to the retailers. What is the optimal production strategy and shipping patternfor Sports of All Sorts? What is the minimum attainable transportation cost?Sports of All Sorts is considering expansion of the Iowa DC capacity to 800 units perweek. The annual amortized cost of expansion is $40,000. Should the company expandthe Iowa DC capacity so that it can process 800 skateboards per week? (Assume 50operating weeks per year.)Shipping Costs {$ per skateboard] Fact? [TIRES Iowa Maryland Idaho ArkansasDetail $25.11} $25.00 $35.00 $40.00Lass Angcles $35.00 $45.00 $35.00 $42.50Austin $40.00 $40.00 $42.50 $32.50Retailer?Cs Iowa Maryland Idalm ArkansasJust 3111:3113 $30.00 $20.00 $35.00 $22.50311115 ’N Stuff $22.50 $32.50 $40.00 $25.00 The. Spat-l3 Dude $30.00 $40.00 $32.50 $42.50