please use the data provided. thanks!

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 6,000 pounds of clay, 3,500 pounds of silica, 5,000 pounds of sand, and 8,500 pounds of feldspar. At most 8,000 square feet of grade Ili 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. Click her to view the tile data. Complete the table below to indicate the number of square feet of each tile to produce to optimize the profit, and then give the total profit earned. (Tune intanare of derimale Dn nat round.) receives raw material shipments, which must be used efficiently to maximize profit 6,000 pounds of clay, 3,500 pounds of silica, 5,000 pounds of sand, and 8,500 pou square feet of grade III tiles should be produced and at least 1,500 square feet of g square foot of tile weighs approximately 2 pounds. Develop and solve a linear optin many of each grade of tile the company should make next week to maximize profit Tile Production Data