A factory makes tennis rackets and cricket bats . A tennis racket takes 1.5 h of machine time and 3 h of craftman's time in its making while a cricket bat takes 3 h of machine time and 1 h of craftman' time . In a day , the factory has the availability of not more than 42 h of machine time and 24 h of craftman's time
(a) What number of rackets and bats must be made, if the factory is to work at full capacity?
(b) If the profits on rackets and on bats is Rs 20 and Rs 10 respectively , find the maximum profit of the factory when it works at full capacity .

The distance time graph of a particle at time t makes an angle of 45^(@) with time axis. After 1 second it makes an angle of 60^(@) with time axis, what is the acceleration of the particle ?

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

A body when released from the top of a tower of height h reaches the ground in time T. At what time it is at a height h/2 above the ground?

A father with 8 children takes 3 at a time to a Zoological Garden as often as he can without taken same three children together more than once, The number of times : He will go to the garden is :

A father with 8 children takes 3 at a time to a Zoological Garden as often as he can without taken same three children together more than once, The number of times : Each child will go to the garden is :

For 100 times increase in concentration of H^(+) ions :

The earth takes 24 h to rotate once about its axis. How much time does the sun take to shift by 1° when viewed from the earth?

A cricket ball is thrown at a speed of 56 ms^(-1) in a direction, making an angle 30^@ with the horizontal, Calculate. (b) total time taken by the ball to return to the earth