The management of the Best Laptop Manufacturing (BLM) has decided to expand its product mix. Market research studies have focused on diversifying the product line. BLM has decided to produce two lines of laptop computer cases: X-gens & Y-gens. Production is simple - cutting \& sewing only. Assume this is a one-day plan, and they can sell all that is produced during the day. The contribution to profit is $30 per case for X-gens and $80 for Y-gens. The cutting line can run 11/2 shifts per day and the sewing line 2 shifts per day (assume 8hr per shift). Management Constraint: Despite the current production situation, the managerial team requires the production of at least two Y-gens cases per day to keep the production line busy. BLM wants to know the number of X-gens and Y-gens to produce in order to maximize its total profit. FORMULATE an appropriate Linear Programming model of this problem and solve it using MS Excel Solver