A manufacturer produces three models, I, II, and III, of a certain product using raw materials A and B. The following table gives the data for the problem. between 3% and 5%, and (3) the carbon content must be between 3% and 7%. Determine the optimum mix of the scraps that should be used in producing 1000 tons of the alloy. 2 Notes: 1. do not include (+) with the +ve the number. 2. all entries should be integer numbers only. Decision Variables: x1 : number of tons from scrap A to include in the mix (x10) x2 : number of tons from scrap B to include in the mix (x20) Minz=x1+22 Subject to: 1. Silicon content may not exceed 5%. Thus, 2. Carbon content may not exceed 7\%. Thus, 3. Production of alloy must be at least 1000 tons.Thus, x1+ x1+ x20.x20. x1+x21000. By using Excel solver the optimal solution provides the following: x1= x2= ,z=