Home
Class 12
MATHS
A factory makes tennis rackets and crick...

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 m 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

Text Solution

Verified by Experts

The correct Answer is:
[Refer Q.3;Ex.12(c)]
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise Miscellaneous Exercise|10 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|2 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise Exercise - 12.1|10 Videos

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

  • MATRICES

    MODERN PUBLICATION|Exercise CHAPTER TEST (3)|12 Videos

Similar Questions

Explore conceptually related problems

A factory makes tennis rackets and cricket bats. A tennis racket takes 1. 5 hours of machine time and 3 hours of craftmans time in its making while a cricket bat takes 3 hours of machine time and 1 hour of craftmans time. In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsmans time. If the profit on a racket and on a bat is Rs. 20 and Rs. 10 respectively, find the number of tennis rackets and crickets bats that the factory must manufacture to earn the maximum profit. Make it as an L.P.P. and solve graphically.

A firm makes pants and shirts . A shirt takes 2 hours on machine and 3 hours of man lobour while a pant takes 3 hours on machine and 2 hours of man labour .In a week , there are 70 hours of machine and 75 hous of man lobour available . If the firm dertermines to make x shirts and y pants per week , then for this linear constraints are

(i) 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 while it takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts.He earns a profit og ₹ 17.50 per package of nuts and ₹ 7.00 per package of bolts.How many packages of each should be produced each day so as to maiximise his profit, if he operate his machine for at the most 12 hous a day?Form an LPP for the problem and solve it graphically. (ii) 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 amchine A and 1 hour on machine B to produce a package of bolts.He earns a profit ₹35 per package of nuts and ₹14 per package of bolts.How many packages of each should be produced each day so as to maximise his profit, if he operates each machine for atmost 12 hours a day?

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 Rsl7.50 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?