1 Problem. 3.4: A company manufactures three products namely \( X, Y \) and \( Z \). Each of the prodacr require processing on there machines, Turning. Milling and Grinding. Product \( X \) requires 10 hours of turning, 5 hours of milling and 1 hour of grinding, Prodact \( Y \) requires 5 hours of turning, 10 bours of milling and 1 hour of grinding, and Prodact \( Z \) requires 2 hours of turning, 4 hours of milling and 2 hours of grinfling. In the coming planning period, 2700 hours of turning, 2200 hours of milling and 500 hours of grinting are available. The profit contribution of \( X, Y \) and \( Z \) are Rs. 10 , Rs 15 and Rs 20 per unit respectively. Find the optimal product mix to maximize the profit.