(Production allocation problem) A firm manufactures wo type of Products A and B and sells them at a profit of R.O. 2 on type A and R.O. 3 on type B. Each product is processed on two machines G and H. Type A requires one minute of processing time on G and two minntes on H, rpe B requires one minute on G and one minute on H. The machine G is available for nor more than 6 hour 40 minutes while machine H is available for 10 hours during any working day How many products of type A and type B shall be manufactured? (Formlate the problem as a linear programming)