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Estimates of the financial information for a new product show the following information:

Units Sold Probability Fixed cost Rs. 8,000
600 .35 Variable cost Rs. 6 / unit
800 .45 Revenue Rs. 22 / unit
1000 .20

Use the random numbers .51, .97, .58, .22, and .16 to simulate five trials. What is the net profit for each trial?
compound interest
a) Solve the equation 9x4 – 18x3 – 31x2 + 8x + 12 = 0 by Ferrari’s method.
b) Solve the equation in (a) above, given that the sum of two of its roots is zero.
Which of the following statements are true? Give reasons for your answers. (This means that if you
think a statement is false, give a short proof or an example that shows it is false. If it is true, give a
short proof for saying so. For instance, to show that ‘{1, padma, blue}is a set’ is true, you need to say
that this is true because it is a well-defined collection of 3 objects.)
i) {MTE-04, –3, Indira Gandhi} is a set.
ii) For any two sets A and B, A ∪ Bc = A ∩ B.
iii) There is a unique z ∈ C for which z z 1 − = .
iv) The least degree of the polynomial with real coefficients and with roots 2+i, 2i – 1 is 2.
v) If a statement has a direct proof, then it cannot be proved by contradiction.
vi) The equation x = 3 has the same geometric representation regardless of whether it is an
equation in one variable or two variables.
vii) Any system of n linear equations in n – 1 variables has a solution.
viii) The CS inequality is a generalization of the triangle inequality.
Which of the following statements are true? Give reasons for your answers. (This means that if you think a statement is false, give a short proof or an example that shows it is false. If it is true, give a short proof for saying so. For instance, to show that ‘1, padma, blueis a set’ is true, you need to say that this is true because it is a well-defined collection of 3 objects.)
i) For any two sub sets A and B of a set U, AB=BA.
ii) The contrapositive of ‘If Lalita is good at mathematics, then her daughter passes the maths exam’ is the statement ‘If Lalita is not good at mathematics, then her daughter fails the maths exam’.
iii) The geometric representations of z and z1 (for z

0, z

C) are the reflections of each other in the x-axis.
iv) Arg
.44
v) Any polynomial over Q can have at most one root in C \ R.
vi) If a

R, then det ([a])
.0
vii) If
101,,
are positive real numbers with arithmetic mean A, then their harmonic mean is A1.
viii) Any two linear equations in the variables x and y will have infinitely many common solutions.
ix) {Descartes, DeMorgan, }is a set.
x) A matrix representation of x+yz=3 is [x y z]
111
= [3].
A hard disk system has the following parameters:
Number of tracks=500
Number of sectors/track=100
Number of bytes/sector=500
Time taken by the head to move from one track to adjacent track=1ms
Rotation speed=600 rpm
What is the average time taken for transferring 250 bytes from the disk?
(A)300.5 ms (B) 255.5 ms (C)255 ms (D)300 ms
A disk has 8 equidistant tracks. The diameters of the innermost and outermost tracks are 1 cm and 8 cm respectively . The innermost track has a storage capacity of 10 MB.
[1] what is the total amount of data that can be stored on the disk if it is used with a drive that rotates it with
(1) Constant linear velocity
(2) Constant Angular velocity
(A) (1) 80 MB (2) 2040 MB (B) (1) 2040 MB (2) 80 MB
(C) (1) 80 MB (2) 360 MB (D) (1) 360 MB (2) 80 MB

[2] If the disk has 20 sectors per track and is currently at the end of the 5th sector of the inner most track and the head can move at a speed of 10 m/sec and it is rotating at constant angular velocity of 6000 rpm, how much time will it take to read 1 MB contiguous data starting from the sector 4 of the outer most track?
(A) 13.5ms (B) 10ms (C) 9.5ms (D) 20ms
Find the equation of the angle bisectors of the 3x+4y=5 and 12x+5y=5. Also find the bisector which bisect the acute angle.
Make up an addition questions where there is a 2 a 3 and a 4 somewhere in the question or the answer
You receive an order for a dose of Bactrim injection 25 mL. You have on hand Bactrim 16mg/mL. How many milligrams are contained in the 25 mL dose?
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