A company makes ceramic and porcelain tiles. They produce three different grades of tile, each of which requires different amounts of materials and production time and generates different contributions to profit. The accompanying table shows the percentage of materials needed for each grade and the profit per square foot. Each week the company receives raw material shipments, which must be used efficiently to maximize profitability. Currently, inventory consists of 6,500 pounds of clay, 3,500 pounds of silica, 5,500 pounds of sand, and 8,000 pounds of feldspar. At most 8,000 square feet of grade III tiles should be produced and at least 1,500 square feet of grade I tiles are required. Each square foot of tile weighs approximately 2 pounds. Develop and solve a linear optimization model to determine how many of each grade of tile the company should make next week to maximize profit contribution. Tile Production Data The accomparrying table shows the percentage of miterats needed tor each grabe and the proft per square foot. Each week the compary receives of tie the company should make next woek to maxmire proft contr bution Click here to view the tile dita Complete the tatib toilow to indicale the number of square foet of each the to produce to optmure the proft, and then give the total prokt earned