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Question: Ships arrive at a harbor at the rate of one every 60 ± 30 minutes. There are six berths to accommodate them. They also need the service of a crane for unloading and only one crane is available. After unloading, 10% of the ships stay for refuel before leaving, while the others leave immediately. Ships do not require the use of crane for refueling. It takes 7 ± 3 hours for unloading and 60 ± 20 minutes for refueling. Assume that the crane is subjected to routine maintenance once in every 100 hours, and it takes 5 ± 2 hours to complete the maintenance. The crane's unloading operation is not interrupted for maintenance. The crane is taken for maintenance as early as possible after completing the current unloading activity. Simulate the system for unloading 500 ships that require refueling.
All the firm's output can be sold and the profit made is Rs 80 per ton of X and Rs 120 per ton of Y. Find out the optimum mix using graphical method.
Find the probability that when a fair coin is flipped five times tails comes up exactly three times, the first and last flips come up tails, or the second and fourth flips come up heads.
With that knowledge, think about some issues that a firm faces when pondering the scale of foreign market entry and share your thoughts. Be specific in your answer and tie it to a region of the world and the industry involved (1-2 paragraphs).
Suppose G is an abelian group of order m. Let m, n be relatively prime. Show that for every element g in G, there exists an element x in G such that x^m=g. Abelian Groups and Relatively Prime Order
Find the least squares regression line, and graph both the scatter plot and the regression line - Find the least squares regression line, and graph both the scatter plot and the regression line
PULSE RATE OF AN ATHLETE The pulse rate (the number of heartbeats/minute) of a long-distance runner t sec after leaving the starting line is given.
Find the roots of the auxiliary equation (listed in increasing order, if applicable) and the solution given that the constants of integration are equal to one.
What factors do you think influence how an analyst feels about monitoring? How do you feel about monitoring?
If Jane has a part-time teacher for her economics course, what is the probability that she is taking a night class?
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
A 25-by-33-inch sheet of paper is to be used for a poster, with the shorter side at the bottom. The margins at the sides and top are to have the same width, and the bottom margin is to be twice as wide as the other margins. Find the width of the m..
If (A, m) is a discrete valuation ring, prove that m = (x) for some x ? A and that every non-zero ideal of A is a power of m ?
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