Other Math Answers

Solve the following LPP by two phase simplex method:
Maximize Z=X+2Y+3Z
Subject to X+2Y+3Z=15
2X+Y+5Y=20
X+2Y+Z+W=10
X,Y,Z,W≥0

Describe how quadratic equations can be used in decision-making.

A sales manager wishes to assign four sales territories to four salespersons. The salespersons differ in their ability and skills and consequently the sales expected in each territory are different. The estimates of sales per month for each salesperson in different territories are given below:
Estimated monthly sales
Territory
1 2 3 4
Salesperson
A 20 40 45 30
B 50 40 55 40
C 45 40 42 50
D 48 50 42 45
Find the optimal assignment of the four salespersons to the four different territories and the maximum monthly sales.

sin inverse( xsquare /y) is a homogeneous function of x and y.True or false?

A company owns two flour mills viz. A and B, which have different production capacities for high,medium and low quality flour.The company has entered a contract to supply flour to a midium and low quality resectively .It cost the company Rs.2000 and Rs.1500 per day to run mill A and B respectively.On a day ,mill A produces 6,2 and 4 quantals of high,midium and low quality flour respectively.How many days per month should each mill be operated in order to meet the contract order most economically.

Q1. A system of linear equations is shown below.

{2x+5y+6z =4 x-6y+2z=9
3x-2y+4z=8

(a) Write down the augmented matrix for the above system of equations.
(b) Determine whether the system of equations has unique solution.
(c) Use Gaussian elimination method to solve the above system of equations.

Q2. A student wants to study the dynamic characteristics of a low-rise building under lateral loading. The student models the building by a single lumped mass model. After considering damping, stiffness and characteristics of loading, the student comes up with the following differential equation:

d^x/dt^2-6 dx/dt+8x=sin t

where x(t) is the time-dependent function for the lateral displacement of the building.
(a) Find the complementary function of the lateral displacement.
(b) Find the particular integral of the resulting displacement.
(c) Find the particular solution of the differential equation,
given that x(0)=0 and x'(0)=1.

Ques 1:
In ABC Triangle A is 90° and AC =x
If SinB=x what is sinC=?
Ques 2
-3<5-2x<7 express it with modules

A bottle contains 255 coins
1/3 of the coins are £1 coins
110 of the coins are 50p coins
the rest of the coins are 20p coins
work out the total value of the coins contained in the bottle

Convert (36.532)8 into an equivalent hexadecimal number.

Convert (4 B F 8)16 into equivalent octal numbers.