operation research, Mathematics

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Find where the breakdown occurred and his original speed, A cyclist, after ...

A cyclist, after riding a certain distance, stopped for half an hour to repair his bicycle, after which he completes the whole journey of 30km at half speed in 5 hours.  If the bre

find an explicit formula, (a) The generating function G(z) for a sequence ...

(a) The generating function G(z) for a sequence g n is given by G(z) = 1 - 2z/(1 + 3z)3 Give an explicit formula for g n . (b) For the sequence gn in the previous part co

#permutation, #The digits 1,2,3,4and 5 are arranged in random order,to form...

#The digits 1,2,3,4and 5 are arranged in random order,to form a five-digit number. Find the probability that the number is a. an odd number. b.less than 23,000

Produce list containing m-vectors delta and lambda, The logarithm of the Po...

The logarithm of the Poisson mixture likelihood (3.10) can be calculated with the following R code: sum(log(outer(x,lambda,dpois) %*% delta)), where delta and lambda are m-ve

Multiplication of two unlike terms with opposite signs, The product on mult...

The product on multiplying - 4bc with 2a is - 8abc. That is, a term with minus sign multiplied with a term having a positive term gives a product which has a minus sign. On the

Develop a linear program, The production manager of Koulder Refrigerators m...

The production manager of Koulder Refrigerators must decide how many refrigerators to produce in each of the next four months to meet demand at the lowest overall cost. There is a

Find an example of congruential unit random number generator, 1. Suppose th...

1. Suppose the arrival times of phone calls in a help centre follow a Poisson process with rate 20 per hour (so the inter-arrival times are independent exponential random variables

Utilizes second derivative test to classify critical point, Utilizes the se...

Utilizes the second derivative test to classify the critical points of the function,                                               h ( x ) = 3x 5 - 5x 3 + 3 Solution T

System of differential equations for the population, Write down the system ...

Write down the system of differential equations for the population of both predators and prey by using the assumptions above. Solution We will start off through letting that

Logarithmic functions, If x = b y where both b > 0, x > 0, then we d...

If x = b y where both b > 0, x > 0, then we define y = log b x, which is read as "y is the log to the base b of x". This means that, log b x or y is the number to

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