Mathematics - Online Test
Since a student can solve every question in three ways- either he can attempt the first alternative , or the second alternative or he does not attemp that question
Hence the total ways in which a sudent can attempt one or more of 8 questions =
Therefore to find the number of all selections which a student can make for answering one or more questions ou tof 8 given questions = [ we will have to exclude only the case of not answering all the 8 questions]
which is not possible.
Hence we can say there is no solution for the system of equations
in any set having n elements then Total no of subsets=2n
so total subset = 25=32
Let number of rackets made = x
And number of bats made = y
Therefore , the above L.P.P. is given as :
Maximise , Z = x +y , subject to the constraints : 1.5x +3y ≤ 42 and. 3x +y ≤ 24, i.e.0.5x + y ≤ 14 i.e. x +2y ≤ 28 and 3x +y ≤ 24 , x, y ≥ 0.
Corner points | Z = x + y |
O( 0 , 0 ) | 0 |
D(0,14 ) | 14 |
A(8,0) | 8 |
B(4,12) | 16…………………(Max.) |
Here Z = 16 is maximum. i.e Maximum number of rackets = 4 and number of bats = 12.
Here , profit function is P = 20x + 10y
Profit is maximum at x = 4 and y = 12 .
Therefore , maximum profit = 20(4) + 10 ( 12) = 200.i.e. Rs.200.
