The American Safety Council has allocated $500,000 for projects designed to prevent automobile accidents. Four proposals were submitted: (a) TV advertisements, (b) teenage safety education, (c) improved airbags, and (d) enforcement of driving laws. The projects are expected to result in the reduction of both fatalities and property damage, as shown in the table to the right. The council has decided that no single project will be awarded more than $250,000. They also wish to award at least $50,000 for teenage education. Finally, they want to award at least $1 for improved airbags for each dollar awarded for TV advertisements. The federal government, for internal analysis purposes, has as- sessed the average value of a human life as being $400,000. Expected Reduction in Fatalities per $1,000 0.25 0.32 0.15 0.28 Average property damage averted per $1,000 300 500 Project A TV Advert B Teenage educatio Airbags C D Laws 250 500000 Budget Life Value 400000 250000 50000 Max award Project B Min Formulate the initial Tableau for the Simplex Method

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The American Safety Council has allocated $500,000 for projects designed to prevent automobile accidents. Four proposals were submitted:
(a) TV advertisements, (b) teenage safety education, (c) improved airbags, and (d) enforcement of driving laws. The projects are expected to
result in the reduction of both fatalities and property damage, as shown in the table to the right. The council has decided that no single
project will be awarded more than $250,000. They also wish to award at least $50,000 for teenage education. Finally, they want to award at
least $1 for improved airbags for each dollar awarded for TV advertisements. The federal government, for internal analysis purposes, has as-
sessed the average value of a human life as being $400,000.
Еxpected
Reduction in property damage
Fatalities
Average
per $1,000
0.25
0.32
0.15
0.28
averted
per $1,000
300
500
Project
TV Advert
A
В
Teenage educatio
Airbags
Laws
250
500000
Budget
Life Value
Max award
400000
250000
50000
Project B Min
Formulate the initial Tableau for the Simplex Method
Transcribed Image Text:The American Safety Council has allocated $500,000 for projects designed to prevent automobile accidents. Four proposals were submitted: (a) TV advertisements, (b) teenage safety education, (c) improved airbags, and (d) enforcement of driving laws. The projects are expected to result in the reduction of both fatalities and property damage, as shown in the table to the right. The council has decided that no single project will be awarded more than $250,000. They also wish to award at least $50,000 for teenage education. Finally, they want to award at least $1 for improved airbags for each dollar awarded for TV advertisements. The federal government, for internal analysis purposes, has as- sessed the average value of a human life as being $400,000. Еxpected Reduction in property damage Fatalities Average per $1,000 0.25 0.32 0.15 0.28 averted per $1,000 300 500 Project TV Advert A В Teenage educatio Airbags Laws 250 500000 Budget Life Value Max award 400000 250000 50000 Project B Min Formulate the initial Tableau for the Simplex Method
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