CWD Electronics sells Televisions (TV), which it orders from the USA. Because of shipping and handling costs, each order must be for 10 TVs. Because of the time it takes to receive an order, the company places an order every time the present stock drops to 5 TVs. It costs $50 to place an order. It costs the company $200 in lost sales when a customer asks for a TV and the warehouse is out of stock. It costs $50 to keep each TV stored in the warehouse. If a customer cannot purchase a TV when it is requested, the customer will not wait until one comes in but will go to a competitor. The following probability distribution for demand for TV has been and the time required to receive an order once it is placed (lead time) has the following probability distribution: (Attached) The company has 10 TVs in stock. Orders are always received at the beginning of the week. Note that a lead time of 2 weeks imply that an order placed in week one will arrive in week 4. Hint. No order is placed until the current order has arrived. Usage of all random numbers for lead time depend on stock arrivals in the model hence all numbers may not be used. a) Construct the appropriate random number mappings for the random variables starting with .00. (lead & demand time) b) Simulate CWD's ordering and sales policy for 20 weeks.  c) Compute the average cost of the policy

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

CWD Electronics sells Televisions (TV), which it orders from the USA. Because of shipping and handling costs, each order must be for 10 TVs. Because of the time it takes to receive an order, the company places an order every time the present stock drops to 5 TVs. It costs $50 to place an
order. It costs the company $200 in lost sales when a customer asks for a TV and the warehouse is out of stock. It costs $50 to keep each TV stored in the warehouse. If a customer cannot purchase a TV when it is requested, the customer will not wait until one comes in but will go to a competitor.
The following probability distribution for demand for TV has been and the time required to receive an order once it is placed (lead time) has the following probability distribution: (Attached)

The company has 10 TVs in stock. Orders are always received at the beginning of the week.
Note that a lead time of 2 weeks imply that an order placed in week one will arrive in week 4.
Hint. No order is placed until the current order has arrived. Usage of all random numbers for lead time depend on stock arrivals in the model hence all numbers may not be used.

a) Construct the appropriate random number mappings for the random variables starting with .00. (lead & demand time)
b) Simulate CWD's ordering and sales policy for 20 weeks. 
c) Compute the average cost of the policy

demand
.15
.84
.16
.12
55
.16
.84
.63
33
57
.18
.26
23
.52
37
.70
56
.99
.16
.31
lead time 47
74
.35
.56
.64
.21
.55
.01
40
Use the following headings
lead-
SOC OC TC
Month OI U RA I RN
D DFEI So order RN time
IC
Transcribed Image Text:demand .15 .84 .16 .12 55 .16 .84 .63 33 57 .18 .26 23 .52 37 .70 56 .99 .16 .31 lead time 47 74 .35 .56 .64 .21 .55 .01 40 Use the following headings lead- SOC OC TC Month OI U RA I RN D DFEI So order RN time IC
Demand/
Lead time (weeks) Probability
week
Probability
1
0.45
1
0.15
2
0.30
0.25
3
0.25
3
0.40
4
4
0.20
Transcribed Image Text:Demand/ Lead time (weeks) Probability week Probability 1 0.45 1 0.15 2 0.30 0.25 3 0.25 3 0.40 4 4 0.20
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON