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find all solutions from the range 0 to 2 pie. tan^2x + tanx -12=0
Find the probability that a nurse chosen at random is a male, given that the nurse does not dislike the schedule
A price p (in dollars) and demand x for a product are related by:
2x^2+5xp+50p^2=24800.

If the price is increasing at a rate of 2 dollars per month when the price is 20 dollars, find the rate of change of the demand.
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Calculate lim x tends ∞− x^2 ln(x^2+1/x^2)^3
Calculate lim x→ 0(3^x/x-2^x/x)
find all the units of Z12
Q1.A Company uses 2,500 units during the course of the year, and its usage is relatively constant throughout the year. These units are purchased from a supplier 100 kilometers away for Ksh.15 each, and the lead time is 2 days. The holding cost per unit per year is Ksh.1.50 (or 10% of unit cost) and the ordering cost per order is Ksh.18.75. There are 250 working days per year for this company.
a) What is EOQ?
b) Given the EOQ, what is the average inventory?
c) In minimizing cost, how many orders would be made each year? What would be the annual ordering cost?
d) Given the EOQ, what is the total annual inventory cost ( including purchase cost)
e) What is the time between orders?
f) What is the ROP(re-oder point)? (15mks)
The equation x^3 − x −1 = 0 has a positive root in the interval ] 1,2[ . Write a fixed point
iteration method and show that it converges. Starting with initial approximation x0 = 1.5
find the root of the equation correct to three decimal places.
A warehouse has only one loading dock manned by a three person crew. Trucks arrive at the loading dock at an average rate of 5 trucks per hour and the arrival rate is Poisson distributed. The loading of a truck takes 10 minutes on an average and can be assumed to be exponentially distributed. The operating cost of a truck is Rs.20 per hour and the members of the loading crew are paid Rs.8 each per hour. Would you like to advise the truck owner to add another crew of 3 persons?
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