Pet Playland has three different production factories in Gatineau, Windsor and Saskatoon.Materials are shipped from one of the four warehouses located in Toronto, Brampton, Ottawa and Vancouver.The table below shows the cost per kilogram shipped from the warehouses to the factories, as well as the amount of materials available to be shipped and the amount of materials required.Formulate the linear program for Pet Playland to determine that amount of materials to be shipped from the warehouses to each factory to minimize the total shipping costs. Formulate the linear programming model.Do not solve.

Warehouses Factory Materials Gatineau Windsor Saskatoon available Toronto $180 $170 $260 18500 Brampton $190 $210 $290 15000 Ottawa $220 $240 $340 17000 Vancouver $210 $230 $280 18500 Material required 28000 22500 18500