It's a Linear Programming problem. Please mention all the constraints and solve.

What is the lowest cost solution of adding a new plant?

usiness FlexSteal, marketed as a miracle brush-on sealant and baldness cure, is manufactured at three plants that are struggling to keep up with the demand at the four regional centers. The cost to ship a Brock University truckload from each of the existing plants to the regional centers is shown in the table. Philadelphia Atlanta Dallas Los Angeles Capacity Plant 1 115 400 Plant 2 120 103 400 Plant 3 112 400 Total Demand 350 350 350 350 The supply chain manager has explored plant construction costs in two other cities as well as the cost to ship a truckload from each of the plants to the regional centers. The current plan is to build another plant with a capacity of 400 to allow room for sales growth. The construction cost for the new plants and cost to ship to each of the regional centers is shown here. What is the lowest cost solution for adding a new plant? Philadelphia Atlanta Dallas Los Angeles Cost to Build Plant A $23,500 Plant B $26,000