Operations Management: Sustainability and Supply Chain Management (12th Edition)
Operations Management: Sustainability and Supply Chain Management (12th Edition)
12th Edition
ISBN: 9780134130422
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Chapter D, Problem 7P

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• • D.7 Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed.

  1. a. What is the average time a car is in the system?
  2. b. What is the average number of cars in the system?
  3. c. What is the average number of cars waiting to receive service?
  4. d. What is the average time a car is in the queue?
  5. e. What is the probability that there are no cars at the window?
  6. f. What percentage of the time is the postal clerk busy?
  7. g. What is the probability that there are exactly 2 cars in the system?
  8. h. By how much would your answer to part (a) be reduced if a second drive-through window, with its own server, were added?
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Question 6. An electrical engineering company is designing two types of solar panel systems: Standard Panels (S) and High-Efficiency Panels (H). The company has certain constraints regarding the hours of labor and material available for production each week. Each Standard Panel requires 4 hours of labor and 2 units of material and each High-Efficiency Panel requires 3 hours of labor and 5 units of material. The company has a maximum of 60 hours of labor and 40 units of material available per week. The profit from each Standard Panel is GH¢80, and the profit from each High-Efficiency Panel is GH¢100. The company wants to determine how many of each type of panel to produce in order to maximize profit. i) Solve this LPP by using graphical analysis ii) What will be the slack at the optimal solution point? Show calculation.

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Operations Management: Sustainability and Supply Chain Management (12th Edition)

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