Introduction To Management Science, Global Edition
13th Edition
ISBN: 9781292263045
Author: Bernard W. Taylor III
Publisher: PEARSON
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Chapter 15, Problem 30P
a)
Summary Introduction
To develop: A linear trend model to
b)
Summary Introduction
To develop: A linear regression model to forecast the coal consumption.
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In the following problems assume, unless otherwise stated, that S = $40, σ = 30%, r =8%,and δ =0.
13.1 Suppose you sell a 45-strike call with 91 days to expiration. What is delta? If the option is on 100 shares, what investment is required for a delta-hedged portfolio? What is your overnight profit if the stock tomorrow is $39? What if the stock price is $40.50?
Question 1
M&H company ltd. sells television sets and has collected monthly sales data (in units) for the past 12
months as shown in table 1below:
TABLE 1
Month
Sales (Units)
1
120
2
135
3
150
4
165
5
180
6
200
7
195
8
210
9
225
10
240
11
255
12
270
Using the data provided, answer the following questions:
a. Using a 3-month weighted moving average with weights 0.5, 0.3, and 0.2 (most recent month
having the highest weight), calculate the forecast for month 13.
[2 marks]
b. If the company applies an exponential smoothing method with a smoothing constant (a) = 02,
and assumes an initial forecast of 120 units for Month 1, calculate the forecast for month 13.
[6 marks]
c. Calculate the Mean Absolute Deviation (MAD) for the exponential smoothing method and
weighted moving average method using the actual sales data for Months 4 to 12 and determine
which method is more accurate.
[8 marks] d.
Compute the values of a (intercept) and b (slope) using the least squares method. [7 marks]
e. Use the…
Question 4
MGM12026 Production and Operations Management semester il 2024
A company operates a manufacturing plant that produces two products, A and B. The plant has the
following capacity data:
.
.
Design Capacity: 15,000 machine hours per month
Effective Capacity: 12,000 machine hours per month
Actual Output (Utilized Capacity): 10,000 machine hours per month
Additionally, the plant produces Product A and Product B, with the following production data:
Product Demand (Units)
Processing Time Contribution Margin ($
(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…
Chapter 15 Solutions
Introduction To Management Science, Global Edition
Ch. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Prob. 12P
Ch. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 17PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Prob. 24PCh. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - Prob. 31PCh. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - Prob. 34PCh. 15 - Prob. 35PCh. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Prob. 39PCh. 15 - Prob. 40PCh. 15 - Prob. 41PCh. 15 - Prob. 42PCh. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Prob. 45PCh. 15 - Prob. 46PCh. 15 - Prob. 47PCh. 15 - Prob. 48PCh. 15 - Prob. 49PCh. 15 - Prob. 50PCh. 15 - Prob. 51PCh. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - Prob. 1.1CPCh. 15 - Prob. 2.1CP
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- Gas sales across type: 80% of gas sales tend to be regular. 15% midgrade, 5% tend to be premium. $0.10 increase in price per gallon tends to decrease gallons sold by 1 to 3%. Jan-0.87, Feb-0.95, Mar-1.00, Apr-1.05, May-1.08, Jun1.15, Jul-1.13, Aug-1.07, Sep-1.02, Oct-0.94, Nov-0.89, Dec-0.85. You want the MAPE to be below 20%, if ypu can get it to or below 10% they'll throw in extra $10k. Wont get bonus if it is above 11% or 20%. It cannot be over 20%.arrow_forwardhelp me choose the correct path please. There are other optionsarrow_forwardNegotiators can gain several benefits from using the strategy of multiple equivalent simultaneous offers. By offering multiple options it reduces the chance of rejection. It also improves the chances of reaching reaching an agreement. By presenting multiple offers, it shows you are flexible. agree with the postarrow_forward
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