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. Емресted Reduction in Fatalities per $1,000 Average property damage averted Project TV Advert Teenage educatio Airbags Laws 0.25 0.32 0.15 0.28 per $1,000 300 500 B 250 Budget Life Value Max award Project B Min 500000 400000 250000 50000 Formulate the initial Tableau for the Simplex Method

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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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
per $1,000
Average
averted
per $1,000
300
500
Project
A
TV Advert
0.25
В
Teenage educatio
0.32
0.15
Airbags
Laws
0.28
250
Budget
Life Value
Max aw ard
Project B Min
500000
400000
250000
50000
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 per $1,000 Average averted per $1,000 300 500 Project A TV Advert 0.25 В Teenage educatio 0.32 0.15 Airbags Laws 0.28 250 Budget Life Value Max aw ard Project B Min 500000 400000 250000 50000 Formulate the initial Tableau for the Simplex Method
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