Answered: A bus system needs to be set up from…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $32 per doll. During the holiday selling season, FTC will sell the dolls for $40 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. (a) Determine the equation for computing FTC's profit for given values of the…
A factory ships weekly shipments of an item to a distribution center and the average quantity shipped is 350 units. The weekly ordering rate for this distribution center is 50 units for an item. Unit price is $ 650. The period of supply from the factory to the distribution center is two weeks (2 weeks). The distribution center must pay for the stock from the moment the manufacturer ships the goods. If the distribution center wants to increase the purchase quantity to 400 units, the factory will give priority to the distribution center and guarantee it Supply period (one week only). Required: What is the effect on the average cycle inventory and the pipeline inventory of the distribution center? With the necessity to comment on the results.
The Fore and Aft Marina is located on the Ohio River near Madison, Indiana. Fore and Aft currently operates a docking facility where only one boat at a time can stop for gas and servicing. The manager of the Fore and Aft Marina wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 3 boats per hour and that the service rate for each server is 9 boats per hour. (Round your answers to four decimal places.) (a) What is the probability that the boat dock will be idle? (b) What is the average number of boats that will be waiting for service? (c) What is the average time (in hours) a boat will spend waiting for service? h (d) What is the average time (in hours) a boat will spend at the dock? h (e) If customers expect to be able to be in and out of the marina within 10 minutes on average, does this system provide acceptable service? ---Select--- V since the average time a boat will…

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