Question
Teddy Bower is an outdoor clothing and accessories chain that purchases a line of parkas at $11 each from its Asian supplier, TeddySports. Unfortunately, at
Teddy Bower is an outdoor clothing and accessories chain that purchases a line of parkas at $11 each from its Asian supplier, TeddySports. Unfortunately, at the time of the order placement, demand is still uncertain: Teddy Bower forecasts that its demand is normally distributed with a mean of 1,900 and a standard deviation of 1,300. Teddy Bower sells these parkas at $20 each. Unsold parkas have little salvage value; Teddy Bower simply gives them away to a charity (and also doesn't collect a tax benefit for the donation). Use Table 13.4.
Note: Do not round intermediate calculations. If a part of the question specifies whether to use Table 13.4, or to use Excel, then credit for a correct answer will depend on using the specified method.
- How many parkas should Teddy Bower buy from TeddySports to maximize expected profit? Use Table 13.4 and the round-up rule.
Note: Enter your answer as a whole number.
- If Teddy Bower orders 3,250 parkas, what is expected leftover inventory? Use Table 13.4 and the round-up rule.
Note: Round your answer to 2 decimal places.
- If Teddy Bower orders 3,250 parkas, what is expected sales? Use your result from Part b.
Note: Round your answer to 2 decimal places.
- If Teddy Bower orders 3,250 parkas, what is expected profit? Use your results from Part band Part c.
Note: Round your answer to 2 decimal places.
- How many parkas should Teddy Bower order to ensure a 98.5% in-stock probability? How many parkas should Teddy Bower's order? Use Table 13.4.
TABLE 13.4
The Distribution , F(Q), and Expected Inventory, I(Q), Functions for the Standard Normal Distribution
Function
z | F(z) | I(z) |
---|---|---|
-4.0 | 0.0000 | 0.0000 |
-3.9 | 0.0000 | 0.0000 |
-3.8 | 0.0001 | 0.0000 |
-3.7 | 0.0001 | 0.0000 |
-3.6 | 0.0002 | 0.0000 |
-3.5 | 0.0002 | 0.0001 |
-3.4 | 0.0003 | 0.0001 |
-3.3 | 0.0005 | 0.0001 |
-3.2 | 0.0007 | 0.0002 |
-3.1 | 0.0010 | 0.0003 |
-3.0 | 0.0013 | 0.0004 |
-2.9 | 0.0019 | 0.0005 |
-2.8 | 0.0026 | 0.0008 |
-2.7 | 0.0035 | 0.0011 |
-2.6 | 0.0047 | 0.0015 |
-2.5 | 0.0062 | 0.0020 |
-2.4 | 0.0082 | 0.0027 |
-2.3 | 0.0107 | 0.0037 |
-2.2 | 0.0139 | 0.0049 |
-2.1 | 0.0179 | 0.0065 |
-2.0 | 0.0228 | 0.0085 |
-1.9 | 0.0287 | 0.0111 |
-1.8 | 0.0359 | 0.0143 |
-1.7 | 0.0446 | 0.0183 |
-1.6 | 0.0548 | 0.0232 |
-1.5 | 0.0668 | 0.0293 |
-1.4 | 0.0808 | 0.0367 |
-1.3 | 0.0968 | 0.0455 |
-1.2 | 0.1151 | 0.0561 |
-l.1 | 0.1357 | 0.0686 |
-1.0 | 0.1587 | 0.0833 |
-0.9 | 0.1841 | 0.1004 |
-0.8 | 0.2119 | 0.1202 |
-0.7 | 0.2420 | 0.1429 |
-0.6 | 0.2743 | 0.1687 |
-0.5 | 0.3085 | 0.1978 |
-0.4 | 0.3446 | 0.2304 |
-0.3 | 0.3821 | 0.2668 |
-0.2 | 0.4207 | 0.3069 |
-0.1 | 0.4602 | 0.3509 |
0.0 | 0.5000 | 0.3989 |
0.1 | 0.5398 | 0.4509 |
0.2 | 0.5793 | 0.5069 |
0.3 | 0.6179 | 0.5668 |
0.4 | 0.6554 | 0.6304 |
0.5 | 0.6915 | 0.6978 |
0.6 | 0.7257 | 0.7687 |
0.7 | 0.7580 | 0.8429 |
0.8 | 0.7881 | 0.9202 |
0.9 | 0.8159 | 1.0004 |
1.0 | 0.8413 | 1.0833 |
1.1 | 0.8643 | 1.1686 |
1.2 | 0.8849 | 1.2561 |
1.3 | 0.9032 | 1.3455 |
1.4 | 0.9192 | 1.4367 |
1.5 | 0.9332 | 1.5293 |
1.6 | 0.9452 | 1.6232 |
1.7 | 0.9554 | 1.7183 |
1.8 | 0.9641 | 1.8143 |
1.9 | 0.9713 | 1.9111 |
2.0 | 0.9772 | 2.0085 |
2.1 | 0.9821 | 2.1065 |
2.2 | 0.9861 | 2.2049 |
2.3 | 0.9893 | 2.3037 |
2.4 | 0.9918 | 2.4027 |
2.5 | 0.9938 | 2.5020 |
2.6 | 0.9953 | 2.6015 |
2.7 | 0.9965 | 2.7011 |
2.8 | 0.9974 | 2.8008 |
2.9 | 0.9981 | 2.9005 |
3.0 | 0.9987 | 3.0004 |
3.1 | 0.9990 | 3.1003 |
3.2 | 0.9993 | 3.2002 |
3.3 | 0.9995 | 3.3001 |
3.4 | 0.9997 | 3.4001 |
3.5 | 0.9998 | 3.5001 |
3.6 | 0.9998 | 3.6000 |
3.7 | 0.9999 | 3.7000 |
3.8 | 0.9999 | 3.8000 |
3.9 | 1.0000 | 3.9000 |
4.0 | 1.0000 | 4.0000 |
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started