Submitted by: Submitted by pccao
Views: 700
Words: 610
Pages: 3
Category: Business and Industry
Date Submitted: 03/30/2012 02:30 PM
1. With whom should Maddux place the order for the programs and how many should he order each time?
Answer:
D = 60000 * 5 * 2/3
= 200000
H = 0.5 * unit price
S quality printing = 100
S first printing = 100 + .9*(200) = 280
For quality printing
Q = √2DS / IP
Q1 = √2(200000)(100) / 0.5*5 = 4000
Q 2 = √2(200000)(100) / 0.5*1.80 = 6667
Q3 = √2(200000)(100) / 0.5*1.70 = 6860
Q4 = √2(200000)(100) / 0.5*1.60 = 7071
Q4 = √2(200000)(100) / 0.5*1.40 = 7559
Q1 = 6928
Q2 = 11547
Q3 = 30000
Q4 = 60000
Q5 = 250000
Annual Product cost = Demand * unit price
Annual order cost = Demand* setup cost/order quantity
Annual holding cost = Order quantity * holding cost / 2
Number | Unit Price | Order quantity | Annual Product cost | Annual order cost | Annual holding cost | Total |
1 | 5.00 | 4000 | 1000000 | 5000 | 5000 | 5000 |
2 | 1.80 | 10000 | 360000 | 2000 | 4500 | 366500 |
3 | 1.70 | 30000 | 340000 | 666.67 | 12750 | 353416.67 |
4 | 1.60 | 60000 | 320000 | 333.33 | 24000 | 344333.33 |
5 | 1.40 | 250000 | 280000 | 80 | 875000 | 367580 |
Order quanity of 60000 will minimize total cost to 344333.33
For first printing, Q = √2(200000)(280) / 0.5*5 = 6693
Total cost = Setup cost + holding cost + product cost
= 200000/6693 * 280 + 6693 / 2 * (0.5*5.00) + 6693*5
= 50198.20
So the order for the programs should be placed at quality printing as ordering quantity of 60000 each time
2. With whom should Maddux place the order for the inserts and how many should he order each time?
D = 60000
H = 0.5 * unit price
S quality printing = .5*100 = 50
S first printing = 0.5(100 + .9(200)) = 140
For quality printing
Q = √2DS / IP
Q1 = √2(60000)(50) / 0.5*2.5 = 12649
Q 2 = √2(60000)(50) / 0.5*.90 = 21082
Q3 = √2(60000)(500) / 0.5*.85 = 21693
Q4 = √2(60000)(50) / 0.5*.80 = 22361
Q4 = √2(60000)(50) / 0.5*.70 = 23905
Q1 = 6928
Q2 = 11547
Q3 = 30000
Q4 = 60000
Q5 = 250000
Annual Product cost = Demand * unit price
Annual order cost = Demand*...