9 Graphical integer linear programming The owner of a machine shop is planning to expand by purchasing some new machines-presses and lathes. The owner has estimated that each press purchased will increase profit by $100 per day, and each lathe will increase profit by $150 daily. The number of machines the owner can buy is limited by the cost of the machines and the available floor space in the shop. The machine purchase prices and space requirements are as follows: Required floor space Purchase price (m) ($) 15 8,000 30 4,000 Maximum available: 200 40,000 9.1 Formulate this problem as an integer programming model to maximize the profit. 9.2 Solve this problem graphically. Machine Press Lathe (7) (8)