Please help me with the question attached, we have been using pom-qm software to solve the problems but I'm stuck on this one.

Thanks

California Texas Florida Minnesota DEMAND Distribution centers are across the top row; plants creating legos are in the left column Washington $5.00 $8.00 $17.00 $12.00 30000 New York $15.00 $12.00 $7.00 $12.00 30000 Ohio $12.00 $6.00 $7.00 $5.00 10000 Michigan $11.50 $7.00 $9.00 $4.00 10000 SUPPLY 20000 25000 15000 12500 (a) How should the legos be shipped to satisfy demand and minimize cost? Provide detailed solution with analysis. (b) Suppose that you consider building a new source to satisfy demand. Choose a location and assign values for shipping to the 4 destinations. Assuming the production levels of this new facility put supply equal to demand in the table above, how should the legos be shipped to minimize costs? Comment on the change in shipping plans from what you found previously