a$.$ Create an optimization model and solve using Analytic Solver's LP$/$Quadratic Engine. You MUST use binary and integer decision variables as well as the required linking constraints to solve this problem and receive full credit. Label this worksheet $1$a$.$ b$.$ Using your optimal solution: assume that each product purchased at a discount was purchased from the same vendor at the non$-$discounted $($highest$)$ price. Perform the following analysis: i$.$ What would the total cost be if there were no discounts? ii$.$ What is the percentage decrease in cost these discounts represent for the optimal solution from the value you calculated above for $2$ bi $?$ it would be helpful if you can show me all step for Analytic Solver.