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Question: A warehouse selling cement has to decide how often and in what quantities to reorder. It is cheaper, on average, to place large orders, because this reduces the ordering cost per unit. On the other hand, larger orders mean higher storage costs. The warehouse always reorders cement in the same quantity, q. The total weekly cost, C, of ordering and storage is given by
C = (a/q) + bq,
Where a, b are positive constants.
(a) Which of the terms, a/q and bq, represents the ordering cost and which represents the storage cost?
(b) What value of q gives the minimum total cost?
Suppose x is a real number. Prove that if x ≠ 2, then there is a real number y such that x = (2y + 1) / (y - 1).
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Explain why the roots of the equation p(x) divided by g(x)=0 are the same as the zeros of the function p(x) if these are different from the zeros of q(x).
VETERINARY SCIENCE A veterinarian has been asked to prepare a diet for a group of dogs to be used in a nutrition study at the School of Animal Science.
Many free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system.
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Naiela received a 125-days promissory note for $20,202 which is matured on 7th august 2014 with a simple interest rate of 5.8% per annum. She later discounted the note 66 days before the maturity date and obtained $20,176.48.
A daily number lottery chooses three balls numbered 0 to 9. The probability of winning the lottery is 1/1000. Let x be the number of times you play the lottery before winning the first time. (a) Find the mean, variance, and standard deviation. Int..
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