A machine takes 5 hours in cutting 120 tools.How many tools will it cut in 20 hours.

A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?

A furniture firm manufactues chairs and tables, each requairing the use of three machines A,B and C. Producing of 1 chair requires 2 hours of machine A, 1hour on machine B and 1 hour on machine C. Each table requires 1 hour each on machine A and B and 3 hours on machine C. The profit realised by selling 1 chair is Rs 30 while for a table is Rs 60. The total time available per week on machine A is 70 hours , on machine B is 40 hours and on machine C is 90 hours. Find the mathematical formulation so as to find the number of chairs and tables that should be made per week soto maximizethe profit.

Sony types 350 words in half an hour.How many words would she type in 6 minutes?

A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns a profit of Rs17.50 per package on nuts and Rs 7.00 per package on bolts. How many packages of each should be produced each day so as to maximise his profit, if he operates his machines for at the most 12 hours a day?

A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftman’s time in its making while a cricket bat takes 3 hour of machine time and 1 hour of craftman’s time. In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsman’s time. What number of rackets and bats must be made if the factory is to work at full capacity?