SOM 307 - Data Analysis and Modeling » Fall 2021 » ROPN VP
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Question #1
The monthly demand for a product is normally distributed with mean of 1100 units and standard deviation of 200 units. Find the probability that demand in a given month is between 905 and 1346 units.
A.
47.20%
B.
%
C.
87.90%
D.
72.60%
E.
86%
Question #2
The monthly demand for a product is normally distributed with mean of 1100 units and standard deviation of 200 units. If at the beginning of a month 1197 units are stocked, what is the probability that demand exceeds this amount (experiencing stock-out)?
A.
31.40%
B.
40.30%
C.
%
D.
0.70%
E.
0.40%
Question #3
The monthly demand for a product is normally distributed with mean of 1100 units and standard deviation of 200 units. If we want to set the probability of stock-out at 4%, how many units shall we have in stock at the beginning of the month?
A.
1629
B.
1551
C.
2217
D.
1451
Question #4
An electronics superstore is carrying a 60 LEDTV for the upcoming Christmas holiday sales. The optimal service level is 70%. The weekly demand is normally distributed with an average of 6 units, and standard deviation of 2 units. The sales period is exactly 9 weeks with no variations. One of the following formulas may be useful. Sigma(LTD) = SQRT(L)*Sigma(R). Sigma(LTD) = R*Sigma(L). Compute the average demand during the sales period.
A.
225 units.
B.
176 units.
C.
54 units.
D.
108 units.
E.
126 units.
Question #5
An electronics superstore is carrying a 60 LEDTV for the upcoming Christmas holiday sales. The optimal service level is 70%. The weekly demand is normally distributed with an average of 6 units, and standard deviation of 2 units. The sales period is exactly 9 weeks with no variations. One of the following formulas may be useful. Sigma(LTD) = SQRT(L)*Sigma(R). Sigma(LTD) = R*Sigma(L). Compute the standard deviation of the demand during the sales period.
A.
12 units.
B.
15 units.
C.
6 units.
D.
9 units.
E.
4 units.
Question #6
An electronics superstore is carrying a 60 LEDTV for the upcoming Christmas holiday sales. The optimal service level is 70%. The weekly demand is normally distributed with an average of 6 units, and standard deviation of 2 units. The sales period is exactly 9 weeks with no variations. One of the following formulas may be useful. Sigma(LTD) = SQRT(L)*Sigma(R). Sigma(LTD) = R*Sigma(L). How many units should we order to retain the optimal service level (roundup)?
A.
58 units.
B.
101 units.
C.
44 units.
D.
122 units.
E.
43 units.
Question #7
An electronics superstore is carrying a 60 LEDTV for the upcoming Christmas holiday sales. The optimal service level is 80%. The period of sales is normally distributed with an average 5 weeks, and standard deviation of 1.3 weeks. Demand per week is fixed and is 25 units. One of the following formulas may be useful. Sigma(LTD) = SQRT(L)*Sigma(R). Sigma(LTD) = R*Sigma(L). Compute the average demand during the sales period.
A.
270 units
B.
125 units
C.
271 units
D.
200 units
E.
160 units
Question #8
An electronics superstore is carrying a 60 LEDTV for the upcoming Christmas holiday sales. The optimal service level is 80%. The period of sales is normally distributed with an average 5 weeks, and standard deviation of 1.3 weeks. Demand per week is fixed and is 25 units. One of the following formulas may be useful. Sigma(LTD) = SQRT(L)*Sigma(R). Sigma(LTD) = R*Sigma(L). Compute the standard deviation of demand during the sales period.
A.
37.5 units
B.
32.5 units
C.
24 units
D.
81 units
E.
42.5 units
Question #9
An electronics superstore is carrying a 60 LEDTV for the upcoming Christmas holiday sales. The optimal service level is 80%. The period of sales is normally distributed with an average 5 weeks, and standard deviation of 1.3 weeks. Demand per week is fixed and is 25 units. One of the following formulas may be useful. Sigma(LTD) = SQRT(L)*Sigma(R). Sigma(LTD) = R*Sigma(L). How many units should we order to retain the optimal service level (roundup)?
A.
80
B.
143
C.
171
D.
147
E.
153
Question #10
An electronics superstore is carrying a 60 LEDTV for the upcoming Christmas holiday sales. Each TV can be sold at 2800. The store can purchase each unit for 2400. Any unsold TVs can be salvaged, through end of year sales, for 2200. The retailer estimates that the demand for this TV will be Normally distributed with a mean of 100 units, and a standard deviation of 30 units. SL*= Cu/(Cu+Co) Compute the optimal service level.
A.
84.33%
B.
66.67%
C.
62.50%
D.
80%
E.
57.14%
Question #11
An electronics superstore is carrying a 60 LEDTV for the upcoming Christmas holiday sales. Each TV can be sold at 2800. The store can purchase each unit for 2400. Any unsold TVs can be salvaged, through end of year sales, for 2200. The retailer estimates that the demand for this TV will be Normally distributed with a mean of 100 units, and a standard deviation of 30 units. SL*= Cu/(Cu+Co) How many units should we order?
A.
213 units.
B.
183 units.
C.
113 units.
D.
248 units.
E.
160 units.
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