Manufacturing A factory manufactures two products, each requiring the use of three machines. The first machine can be used at most hours; the second machine at most hours; and the third machine at most hours. The first product requires hours on machine hour on machine and hour on machine the second product requires hour each on machines and and hours on machine If the profit is per unit for the first product and per unit for the second product, how many units of each product should be manufactured to maximize profit?

Question

Manufacturing A factory manufactures two products, each requiring the use of three machines. The first machine can be used at most  hours; the second machine at most  hours; and the third machine at most  hours. The first product requires  hours on machine   hour on machine  and  hour on machine  the second product requires  hour each on machines  and  and  hours on machine  If the profit is  per unit for the first product and  per unit for the second product, how many units of each product should be manufactured to maximize profit?