Wittner has developed new designs for high heels and flat women boots. The two major operations needed to make the boots are sewing and polishing the leather. For each pair of high heel boots, sewing takes 1 hour, polishing takes 1.5 hours and 8 ounces of leather is required. For each pair of flat boots, sewing takes 0.5 hour, polishing takes 0.8 hour and 5 ounces of leather is required. The estimated profit per each pair of high heel boots and flat boots sold are $200 and $150 respectively.

Wittner is behind schedule to prepare the shoes for the upcoming season across all their stores in Australia and therefore the management is deciding about whether they should have overtime sewing and polishing operations. For one of their stores in Melbourne Central, they have estimated that each hour of overtime for sewing will cost $10 and each hour of overtime for polishing will cost $30. The overtime cannot exceed 100 hours for this store. The available time for sewing and polishing are 300 hours and 120 hours, respectively. The amount of leather available is 1200 ounces. To meet customer demand for this store, Wittner has forecasted the minimum demand for high heel boots and flat boots are 60 and 50 pairs, respectively.

Wittner is aiming at maximising its profit from selling high heel and flat boots in their Melbourne Central store. Formulate a linear programming model for Wittner