Introduction to Management Science (12th Edition)
12th Edition
ISBN: 9780133778847
Author: Bernard W. Taylor III
Publisher: PEARSON
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Chapter 10, Problem 12P
Summary Introduction
To determine: The optimal solution to this nonlinear programing model.
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3. Consider a process consisting of three resources. Assume there exists unlimited demand for the product.
a. Resource 1 has a processing time of 6 minutes per unit.
b. Resource 2 has a processing time of 3 minutes per unit.
c. Resource 3 has a processing time of 5 minutes per unit.
All three resources are staffed by one worker.
a. Draw a process flow diagram of this process.
b. What is the capacity of resource 2?
c. What is the bottleneck in the process?
d. What is the utilization of resource 2?
e. How long does it take the process to produce 200 units starting with an empty system, assuming this is a worker-paced process?
You may need to use the appropriate technology to answer this question.
Wood Watercolors is a commercial art gallery that uses a four-week periodic review system to reorder paintings for its showrooms. A one-week lead time is required to fill the order.
Demand for one particular style of painting during the five-week replenishment period is normally distributed with a mean of 26 units and a standard deviation of 10 units.
(a) At a particular periodic review, 16 units are in inventory. The curator places an order for 20 units. What is the probability that this style of painting will have a stock-out before
an order that is placed at the next four-week review period arrives? (Round your answer to four decimal places.)
(b) Assume that the gallery is willing to tolerate a 2.5% chance of a stock-out associated with a replenishment decision. How many paintings should the curator have ordered in
part (a)? (Round your answer to the nearest integer.)
paintings
What is the replenishment level…
You may need to use the appropriate technology to answer this question.
A daily newspaper is stocked by a coffee shop so its patrons can purchase and read it while they drink coffee. The newspaper costs $1.16 per unit and sells for $1.55 per unit. If
units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit. Assume that daily demand is approximately normally distributed with μ = 150 and
σ = 30.
(a) What is your recommended daily order quantity for the coffee shop? (Round your answer to the nearest integer.)
(b) What is the probability that the coffee shop will sell all the units it orders? (Round your answer to four decimal places.)
(c) In problems such as these, why would the supplier offer a rebate as high as $1? For example, why not offer a nominal rebate? Find the recommended order quantity at 25¢
per unit. (Round your answer to the nearest integer.)
What happens to the coffee shop's order quantity as the rebate is reduced?
The higher rebate…
Chapter 10 Solutions
Introduction to Management Science (12th Edition)
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