Suppose customers arrive to a single server at the rate of 1/2 customers per minute. The capacityof the server is 1/3 customers per minute. Both service time and interarrival times are assumedto be exponential. Suppose the system is initially empty. As the system unfolds, its inventory (inprocess and waiting) will:(a) reach a long-run average of 3 customers(b) reach a long-run average of 2 customers(c) stay in the system an average of 6 minutes(d) grows unboundedly in the long-run(e) None of the above

Let us solve the word problem in the next step.

Answered: Suppose customers arrive to a single…

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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Example 3. Food I contains 10 units of vitamin A and 12 unit of vitamin R gram and cost 20 paise per gram. Food II contains 7 unit of vitamin A and 15 unis of vitamin B and costs 18 paise per gram. The daily requirement of vitamin A and R are atleast 80 units and 90 units respectively. Formulate the above as an LPP to per minimise the cost. CS Scanned with CamScanner
A local electricity company produces and distributes electricity to residential customers. The firm is a monopoly and it is regulated such that p = MC. The firm faces the following demand function: p = 800 – 2g and its total cost function is: C = 22500 + 200g + q². a) Find the deadweight loss that would result if this company was allowed to operate as a profit maximizing firm, compared to the situation under regulation. b) Calculate the Lerner index of Monopoly Power at the profit maximizing point.
4. Suppose that sodium pentobarbitol is used to anesthetize a dog. The dog anesthetized when its bloodstream contains at least 40 mg of sodium pentobarbitol per kg of the dog's weight. Suppose that the sodium pentobarbitol is eliminated exponentially from the dog's bloodstream with a half-life of 6 hours. What single dose should be administered in order to anesthetize a 55- kg dog for 2.25 hours?
a plant has a 200 horsepower that works cpnsstatnly for 3000 hours per year. it is using a drive motor with an efficiency of 84.3%. The motor has reached its life span, and needs to be changed. A new one will cost $1,100. A motor with an efficiency of 86.3% will cost $13,000 and the installation of the motor will be $1,200. Both motors will last for 20 years but then would need a new one Find the annual savings when it comes to replacing the old compressor with the more efficient compressor.
A person wants to earn the profit of $200,000 from his three goods next year. Product A gives him a profit of $100 and has an expected growth of 10% per year. Product B provides a profit of $200 and has an expected growth of 5% per year. Product C provides a profit of $150 and has an expected growth of 8% per year. The person plans to sell two times of product C as of product B. If the person estimated a total growth of 12% per year in his profits, how many of each product should the person sell in a year? the answer is A: 1931, B: 14, C: 28
Suppose that 6 people can stuff flyers into 500 envelopes in 5 minutes. Assume all people work together at the same time and at the same steady rate.

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