Management Science Homework 2
By: HiJustin • Exam • 1,108 Words • March 11, 2015 • 728 Views
Management Science Homework 2
Q1 1)
Definition of Decision variables:
X1: Number of purchasing cases of canned goods in Sep
X2: Number of purchasing cases of canned goods in Oct
X3: Number of purchasing cases of canned goods in Nov
X4: Number of purchasing cases of canned goods in Dec
X5: Number of purchasing cases of canned goods in Jan
X6: Number of purchasing cases of canned goods in Feb
X7: Number of purchasing cases of canned goods in Mar
X8: Number of purchasing cases of canned goods in Apr
X9: Number of purchasing cases of canned goods in May
Initial Inventory | Purchase Quantity | Sales Quantity | Ending Inventory | Purchasing Cost | |
Sep | 0 | X1 | 1000 | X1-1000 | 40 X1 |
Oct | X1-1000 | X2 | 900 | X1-1000+ X2-900 | 40 X2 |
Nov | X1-1000+ X2-900 | X3 | 850 | X1-1000+ X2-900+ X3-850 | 40 X3 |
Jan | X1-1000+ X2-900+ X3-850+ X4-500 | X5 | 600 | X1-1000+ X2-900+ X3-850+ X4-500+ X5-600 | 42 X5 |
Feb | X1-1000+ X2-900+ X3-850+ X4-500+ X5-600 | X6 | 1000 | X1-1000+ X2-900+ X3-850+ X4-500+ X5-600+ X6-1000 | 42 X6 |
Mar | X1-1000+ X2-900+ X3-850+ X4-500+ X5-600+ X6-1000 | X7 | 1000 | X1-1000+ X2-900+ X3-850+ X4-500+ X5-600+ X6-1000+ X7-1000 | 44 X7 |
Apr | X1-1000+ X2-900+ X3-850+ X4-500+ X5-600+ X6-1000+ X7-1000 | X8 | 1000 | X1-1000+ X2-900+ X3-850+ X4-500+ X5-600+ X6-1000+ X7-1000+ X8-1000 | 44 X8 |
May | X1-1000+ X2-900+ X3-850+ X4-500+ X5-600+ X6-1000+ X7-1000+ X8-1000 | X9 | 500 | X1-1000+ X2-900+ X3-850+ X4-500+ X5-600+ X6-1000+ X7-1000+ X8-1000+ X9-500 | 44 X9 |