Practical Management Science
6th Edition
ISBN: 9781337671989
Author: WINSTON
Publisher: Cengage
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Chapter 7, Problem 75P
Summary Introduction
To determine: The height and diameter that can minimize the surface area of the can.
Non-linear programming (NLP):
Non-linear programming (NLP) is used in complex optimization problems where the objectives or constraints or sometimes both are non-linear functions of the decision variables. A model can be termed as non-linear for more than one reason.
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Question 1
M&H company ltd. sells television sets and has collected monthly sales data (in units) for the past 12
months as shown in table 1below:
TABLE 1
Month
Sales (Units)
1
120
2
135
3
150
4
165
5
180
6
200
7
195
8
210
9
225
10
240
11
255
12
270
Using the data provided, answer the following questions:
a. Using a 3-month weighted moving average with weights 0.5, 0.3, and 0.2 (most recent month
having the highest weight), calculate the forecast for month 13.
[2 marks]
b. If the company applies an exponential smoothing method with a smoothing constant (a) = 02,
and assumes an initial forecast of 120 units for Month 1, calculate the forecast for month 13.
[6 marks]
c. Calculate the Mean Absolute Deviation (MAD) for the exponential smoothing method and
weighted moving average method using the actual sales data for Months 4 to 12 and determine
which method is more accurate.
[8 marks] d.
Compute the values of a (intercept) and b (slope) using the least squares method. [7 marks]
e. Use the…
Question 4
MGM12026 Production and Operations Management semester il 2024
A company operates a manufacturing plant that produces two products, A and B. The plant has the
following capacity data:
.
.
Design Capacity: 15,000 machine hours per month
Effective Capacity: 12,000 machine hours per month
Actual Output (Utilized Capacity): 10,000 machine hours per month
Additionally, the plant produces Product A and Product B, with the following production data:
Product Demand (Units)
Processing Time Contribution Margin ($
(hours per unit)
per unit)
A
3,000
2.5
40
B
4,000
1.5
30
a. Calculate the plant's
i. Capacity Utilization
[3 marks] ii. Effective Capacity Utilization
[3 marks] iii.
Efficiency. Interpret the results. [3 marks] b. Compute the total machine hours required to
meet full demand for both products. [5 marks]
c. Determine whether the plant has sufficient capacity to meet full demand. If not, calculate the
shortfall in machine hours.
[3 marks]
d. Using the contribution margin per…
Question 3
i.
Using the Center of Gravity method, determine the optimal location (X, Y) for the new
distribution center.
[7 marks]
[TOTAL 25 MARKS]
Time (sec.)
Power steering assembly firm wants to set up an assembly line which must have an output of 60 units per
hour. The work elements, task times and their precedence relationships are shown in Table 2: Table 1
Work Element
Immediate Predecessor(s)
A
30
NONE
B
26
A
C
50
A
D
44
B
E
10
с
F
20
с
G
15
D.E
H
30
E,G,F
Required:
a. Draw the precedence diagram showing the task precedence and their times
b. Determine the cycle time associated with the rate of output required.
[3 marks]
c. What is the theoretical number of work stations required to satisfy this output rate?
[3 marks]
[4 marks]
d. Allocate the tasks to work stations taking into consideration the precedence requirements and using
the
LOT rule to break ties between feasible tasks.
e. Calculate the total idle time
[8 marks]
[3 marks]
f. What is the efficiency of the line and the…
Chapter 7 Solutions
Practical Management Science
Ch. 7.3 - Prob. 1PCh. 7.3 - Prob. 2PCh. 7.3 - Pricing Decisions at Madison The Madison Company...Ch. 7.3 - Prob. 4PCh. 7.3 - Prob. 5PCh. 7.3 - Prob. 6PCh. 7.3 - Prob. 7PCh. 7.3 - Prob. 8PCh. 7.3 - Prob. 9PCh. 7.3 - Prob. 10P
Ch. 7.3 - Prob. 11PCh. 7.3 - Prob. 12PCh. 7.3 - Prob. 13PCh. 7.3 - PRICING SUITS AT SULLIVANS Sullivans is a retailer...Ch. 7.3 - Prob. 15PCh. 7.4 - Prob. 16PCh. 7.4 - Prob. 17PCh. 7.4 - Prob. 18PCh. 7.4 - Prob. 19PCh. 7.4 - Prob. 20PCh. 7.4 - Prob. 21PCh. 7.4 - Prob. 22PCh. 7.4 - Prob. 23PCh. 7.5 - Prob. 24PCh. 7.5 - Prob. 25PCh. 7.5 - Prob. 26PCh. 7.5 - Prob. 27PCh. 7.6 - Prob. 28PCh. 7.6 - Prob. 29PCh. 7.6 - Prob. 30PCh. 7.6 - Prob. 31PCh. 7.6 - Prob. 32PCh. 7.6 - Prob. 33PCh. 7.6 - The method for rating teams in Example 7.8 is...Ch. 7.7 - Prob. 35PCh. 7.7 - Prob. 36PCh. 7.7 - Prob. 37PCh. 7.7 - The stocks in Example 7.9 are all positively...Ch. 7.7 - Prob. 39PCh. 7.7 - Prob. 40PCh. 7.7 - Prob. 41PCh. 7.7 - Prob. 42PCh. 7.8 - Given the data in the file Stock Beta.xlsx,...Ch. 7.8 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Another way to derive a demand function is to...Ch. 7 - Prob. 48PCh. 7 - If a monopolist produces q units, she can charge...Ch. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - A beer company has divided Bloomington into two...Ch. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - You have 50,000 to invest in three stocks. Let Ri...Ch. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69PCh. 7 - Prob. 70PCh. 7 - Based on Grossman and Hart (1983). A salesperson...Ch. 7 - Prob. 73PCh. 7 - Prob. 74PCh. 7 - Prob. 75PCh. 7 - Prob. 76PCh. 7 - Prob. 77PCh. 7 - Prob. 78PCh. 7 - Prob. 79PCh. 7 - Prob. 80PCh. 7 - Prob. 81PCh. 7 - Prob. 82PCh. 7 - Prob. 83PCh. 7 - Prob. 84PCh. 7 - Prob. 85PCh. 7 - Prob. 86PCh. 7 - Prob. 1.1CCh. 7 - Prob. 1.2CCh. 7 - Prob. 1.3CCh. 7 - Prob. 1.4C
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- ✓ Custom $€ .0 .on File Home Insert Share Page Layout Formulas Data Review View Help Draw Arial 10 B B14 ✓ X✓ fx 1400 > 甘く 曲 > 冠 > Comments Editing ✓ . . . P Q R S T 3 A Production cost ($/unit) B с D E F G H J K L M N $74.00 4 Inventory holding cost ($/unit) $1.50 5 Lost sales cost ($/unit) $82.00 6 Overtime cost ($/unit) $6.80 7 Undertime cost ($/unit) $3.20 8 Rate change cost ($/unit) $5.00 9 Normal production rate (units) 2,000 10 Ending inventory (previous Dec.) 800 11 Cumulative 12 13 Month Demand Cumulative Demand Product Production Availability Ending Inventory Lost Cumulative Cumulative Product Sales 14 January 1,400 1,475 15 FUERANZ222222223323333BRUINE 14 February 1,000 2,275 Month January February Demand Demand Production Availability Ending Inventory Lost Sales 1,400 #N/A 1,475 #N/A #N/A #N/A 1,000 #N/A 2,275 #N/A #N/A #N/A 16 March 1,800 2,275 March 1,800 #N/A 2,275 #N/A #N/A #N/A 17 April 2,700 2,275 April 2,700 #N/A 2,275 #N/A #N/A #N/A 18 May 3,000 2,275 May 3,000 #N/A…arrow_forwardFollow guidelines and summarize in a paragrapharrow_forwardFollow guidelines and summarize in a paragrapharrow_forward
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