Home
Class 12
MATHS
A factory manufactures two types of scre...

A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of Rs 7 and screws B at a profit of Rs 10. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximise his profit? Determine the maximum profit

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    BETTER CHOICE PUBLICATION|Exercise Previous Years Board.s Questions For Practice|10 Videos

  • LINEAR PROGRAMMING

    BETTER CHOICE PUBLICATION|Exercise Assignment (Most Important Questions For Practice) (Long Answer Type Question Section I)|16 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

  • MATRICES

    BETTER CHOICE PUBLICATION|Exercise Previous years Board Questions for practice |69 Videos

Similar Questions

Explore conceptually related problems

A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit?

A company manufactures two types of screws A and B. All the screw have to pass through a threading machine and a slotting machine. A box of type A screws requires 2 minutes on the threading machine and 3 minutes on the slotting machine. A box of type B screws requires 8 minutes of threading on the threading machine and 2 minutes on the slotting machine. in a week, each machine is available for 60 hours. On selling these screws, the company gets a profit of Rs.100 per box n type A screws and Rs.170 per box on type B screws. Formulate this problem as an LPP given that the obejctives is to maximize profit. also solve this LPP graphically to find the maximum profit.

Show that the minute hand of a watch gains 5^@ 30' on the hour hand in a minute.

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 owner purchases two types of machines A and B for his factory. The requirements and limtations for the machines are as follows: He has an area of 9000 sq m available and 72 skilled men who can operate the machines. How many machines of each type should he buy to maximize th daily output?

A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

A factory owner purchases two types of machines, A and B fo his factory. The requirements and the limitation for the machines are as followes : He has maximum area of 9000 m^2 available, and 72 skilled labourers who can operate both the machines. How many machines of each type should be buy to maximise the daily output ?

The length of minute hand clock is 14 cm. Find the area covered by the minute hand clock in one minute.