- 109 Views
- Uploaded on
- Presentation posted in: General

Mgmt Sci

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Mgmt Sci

472.21

4

Fall 2011

- But what if…
- How “sensitive” is the answer?
- Outcomes if parameters change

x2

8

x1= 5 DeSallaberry

x2 = 2 Carmen

Z= $3360

6

4

2

x1

2

4

6

8

0

x1= 0 bags of DeSallaberry

x2 = 8 bags of Carmen

Z= $2400

Friesen Farms

Min Z = $6x1 + 3x2

s.t.2x1 + 4x2≥ 16

4x1 + 3x2≥ 24

x1, x2 0

x1= 8 DeSallaberry

x2 = 0 Carmen

Z= $4800

x2

8

x1= 5 DeSallaberry

x2 = 2 Carmen

Z= $3360

6

4

2

x1

2

4

6

8

0

x1= 0 bags of DeSallaberry

x2 = 8 bags of Carmen

Z= $2400

Friesen Farms

Min Z = $6x1 + 3x2

s.t.2x1 + 4x2≥ 16

4x1 + 3x2≥ 24

x1, x2 0

x1= 8 DeSallaberry

x2 = 0 Carmen

Z= $ $4800

x2

8

x1= 4.8 DeSallaberry

x2 = 1.6 Carmen

Z= $3360

6

4

2

x1

2

4

6

8

0

x1= 0 bags of DeSallaberry

x2 = 8 bags of Carmen

Z= $2400

Friesen Farms

Min Z = $6x1 + 3x2

s.t.2x1 + 4x2≥ 16

4x1 + 3x2≥ 24

x1, x2 0

x1= 8 DeSallaberry

x2 = 0 Carmen

Z= $4800

x2

8

6

4

2

x1

2

4

6

8

0

Friesen Farms

Min Z = $6x1 + 3x2

24 = 6x1 + 3x2

x2

8

6

4

2

x1

2

4

6

8

0

Friesen Farms

Min Z = $6x1 + 3x2

24 = $12x1 + 3x2

If x1 costs more

x2

8

6

4

2

x1

2

4

6

8

0

Friesen Farms

Min Z = $6x1 + 3x2

24 = $24x1 + 3x2

If x1 costs more

x2

8

6

4

2

x1

2

4

6

8

0

Friesen Farms

Min Z = $6x1 + 3x2

24 = $6x1 + 3x2

…start again

x2

8

6

4

2

x1

2

4

6

8

0

Friesen Farms

Min Z = $6x1 + 3x2

24 = $6x1 + 4x2

If x2 costs more

x2

8

6

4

2

x1

2

4

6

8

0

- Friesen Farms
- Min Z = $6x1 + 3x2
- 24 = $6x1 + 4x2
- in words:
- - You can increase the x1 price as much as you want, it makes no difference, but…

x2

8

6

4

2

x1

2

4

6

8

0

- Friesen Farms
- Min Z = $6x1 + 3x2
- 24 = $6x1 + 4x2
- in words:
- - …if you increase the x2 price by only $1, things change

- remember
- in graphs
- what matters is:
- the slope of the lines

- what matters is:
- in numbers
- the line slope is the same as
- the ratio between x1 and x2

- the line slope is the same as
- in “real life”
- what you focus on is:
- prices & costs

- what you focus on is:

- in graphs

a.k.a. “Post-Optimality Analysis”

- so far:
- assumed fixed values

- real world
- changing
- probable

“What happens if…”

a.k.a. “dual cost” or “Lagrange multipliers”

- Constraints
- Shadow Prices
- unit of constraint
Z

- within current constraints

- unit of constraint

- Shadow Prices

Hey, have I got a deal for you!

- Constraints
- Shadow Prices
- on the computer
- much easier than graph or formula
- either
- run scenarios
- read reports

- on the computer

- Shadow Prices

- Constraints
- Shadow Prices
- if constraint non-binding
- if constraint binding

- Shadow Prices

- Constraints
- Shadow Prices

without fundamental change

- working on
- Possibility Restaurant
- pg 70

- Possibility Restaurant

- ch 3 prob 11-13 pg 98

- ch 3 prob 14-16 pg 98-99

- ch 3 case 3 pg 108

- ch 3 prob 48-49 pg 105-106

- ch 3
- mixes
- manufacturing products
- factory use
- displaying products
- advertising

- store layout
- Mega-Mart
- ch 3 prob 38 pg 103
- try

- ch 3 prob 38 pg 103

- Mega-Mart

- mixes

ch 3

worked a lot on maximization

some on ratios

need to check OK on minimization

Rucklehouse Public Relations

Excel

ch 3 prob 23-25

9th edition, pg 100

ch 4

today

complete

Julia’s Food Booth

Exeter Mines

Grafton Metal Works

prob 14

Summer Sports Camp

case 1

ch 3

worked a lot on maximization

some on ratios

minimization reivew

Rucklehouse Public Relations

Excel

ch 3 prob 23-25

9th edition, pg 100

complete

Julia’s Food Booth

Exeter Mines

ch 4

today

Lakeside Boatworks

prob 10

Grafton Metal Works

prob 14

Summer Sports Camp

case 1

Minimization

question on the quiz

chapter 3

problem 23-25

9th edition: pg 100

for Tue

more product mix

Quick-Screen

read for Tue

diet

Breathtakers

transportation

Zephyr Television

marketing

Biggs

ignore

applications – ch 4

for Fri

not marked

investment

Kathleen Allen

for Fri

marked

Ch 4

prob 2:

1st paragraph options

Excel sheet

prob 3

all

Excel sheet

½ page memo

prob 5

all

½ page memo

applications – ch 4