A company thake cranic and per Hes They produce the different grades of the each of which gates diferent amounts of materials and production time and generates different corbibutions to prot. The accompanying table shown the percentage of matooded each grade and the prudt per square foot. Each week, the company recisives raw material shipesants, which must be used efficiently to maximize pay Canently try consists of 6.000 pounds of clay 3,500 pounds of a 5.500 pounds of sand, and 0,000 pounds of feldspar At most 0,500 square feet of grade il tes should be produced and at least 1,500 square feet of grade these pod Ea set of the weighs approximately 2 pounds Develop and solve a linear optimization model to determine how many of each grade of the the company should make ned week to me pro cont Click here to view the Complete the table below to indicate the mamber of square feet of each sle to produce to optimize the profit, and then give the total profit samed (Type gees or decimals. Do not round) Square Feet to Produce Total Profit-S Grade Grade Grade Tile production data n Grade I Grade II Grade III Profit/square foot Clay $2.50 $4.00 $6.00 50% 30% 25% Silica 5% 15% 10% Sand 20% 15% 15% Feldspar 25% 40% 50%