Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Here is a screenshot of the assignment. I will copy and paste the tables below for your convenience. Thanks! Parameter Notation Value Measurement Mean daily
Here is a screenshot of the assignment. I will copy and paste the tables below for your convenience. Thanks!
Parameter | Notation | Value | Measurement | |
Mean daily demand | D | 6 | units per day | |
Standard deviation of daily demand | sD | 3 | units per day | |
Mean lead time | L | 3 | days | |
Standard deviation of lead time | sL | 2 | day | |
Inventory holding cost factor | k | 0.002 | per day per dollar of average inventory | |
Unit purchase cost | C | 2.8 | per unit | |
Holding cost per unit per day | H | per unit per day | ||
Backordering cost per unit | P | 0.22 | per unit backordered | |
Ordering cost per order | S | 4 | per order | |
Order Quantity | Q | units | ||
Mean demand during the lead time | DL | units per lead time | ||
Standard deviation of demand during the lead time | sDL | units per lead time | =SQRT(L*sD^2+D^2*sL^2) | |
Type 1 Service Level | alpha | |||
Standard normal variate | z | |||
Safety Stock | SS | units | ||
Expected units out of stock during the lead time | nR | units per cycle | =sDL*NORMDIST(z,0,1,0)-SS*(1-NORMDIST(z,0,1,1)) | |
Type 2 Service Level | beta | |||
Reorder point | R | units | ||
Annual Cycle Stock Holding Cost | CSH | per year | ||
Annual Safety Stock Holding Cost | SSH | per year | ||
Annual Ordering Cost | OC | per year | ||
Annual Backordering Cost | BC | per year | ||
Annual Total Relevant Cost | G(Q,R) | per year |
B D E H T 8 points. Every time Company XYZ places an order for SKU 1234, it orders 50 units. You suspect that this order quantity is far from optimal. Your boss, however, is not convinced that the order quantity should change. Question 1. What is XYZ's current total relevant logistics cost GQ, R)? Question 2. What will be XYZ's total relevant logistics costs if they implement your proposed order quantity? How would the total relevant logitics cost change %) if XYZ adopts your proposed order quantity? Notation ANSWERS GIQ,R) Q.1 Value 6 3 3 2 0.002 2.8 Q.2 G(QR)* % cost change 1 2 3 4 5 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0.22 Parameter Mean daily demand Standard deviation of daily demand Mean lead time Standard deviation of lead time Inventory holding cost factor Unit purchase cost Holding cost per unit per day Backordering cost per unit Ordering cost per order Order Quantity Mean demand during the lead time Standard deviation of demand during the lead time Type 1 Service Level Standard normal variate Safety Stock Expected units out of stock during the lead time Type 2 Service Level Reorder point Annual Cycle Stock Holding Cost Annual Safety Stock Holding Cost Annual Ordering Cost Annual Backordering Cost Annual Total Relevant Cost Measurement units per day units per day days day per day per dollar of average inventory per unit per unit per day per unit backordered per order units units per lead time units per lead time 4 19-vanda - 4 * 3 588 -SQRT{ LD^2D^2'sL^2) units units per cycle =sDL NORMDIST[3,0,1,01-58*(1-NORMDIST[3,0,1,1]) units per year per year per year per year per year B D E H T 8 points. Every time Company XYZ places an order for SKU 1234, it orders 50 units. You suspect that this order quantity is far from optimal. Your boss, however, is not convinced that the order quantity should change. Question 1. What is XYZ's current total relevant logistics cost GQ, R)? Question 2. What will be XYZ's total relevant logistics costs if they implement your proposed order quantity? How would the total relevant logitics cost change %) if XYZ adopts your proposed order quantity? Notation ANSWERS GIQ,R) Q.1 Value 6 3 3 2 0.002 2.8 Q.2 G(QR)* % cost change 1 2 3 4 5 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0.22 Parameter Mean daily demand Standard deviation of daily demand Mean lead time Standard deviation of lead time Inventory holding cost factor Unit purchase cost Holding cost per unit per day Backordering cost per unit Ordering cost per order Order Quantity Mean demand during the lead time Standard deviation of demand during the lead time Type 1 Service Level Standard normal variate Safety Stock Expected units out of stock during the lead time Type 2 Service Level Reorder point Annual Cycle Stock Holding Cost Annual Safety Stock Holding Cost Annual Ordering Cost Annual Backordering Cost Annual Total Relevant Cost Measurement units per day units per day days day per day per dollar of average inventory per unit per unit per day per unit backordered per order units units per lead time units per lead time 4 19-vanda - 4 * 3 588 -SQRT{ LD^2D^2'sL^2) units units per cycle =sDL NORMDIST[3,0,1,01-58*(1-NORMDIST[3,0,1,1]) units per year per year per year per year per year
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