1.)A factory manufactures two products, Products A and B onthree machines, X, Y and Z. Product A requires 10 hours of machineX and 5 hours of machine Y and one hour of machine Z. Therequirement for product B is 6 hours, 10 hours and 2 hours ofmachines X, Y and Z, respectively. The profit contribution ofproducts A and B are Php. 23.00 per unit and Php. 32.00 per unitrespectively. In the coming planning period, the available capacityof the machines are 2,500 hours, 2,000 hours and 500 hoursrespectively.
2.)Leather Limited manufactures two types of leather belts: thedeluxe model and the regular model. Each type requires one squareyard of leather. A regular belt requires one hour of skilled laborand a deluxe belt requires 2 hours of skilled labor. Each week, 40square yards of leather and 60 hours of skilled labor is available.Each regular belt contributes $3 profit and each deluxe belt gives$4. Formulate an LP model that will maximize the profit and solveit using the graphical method.