Question

In: Economics

Calculate the marginal benefit to society from the purchase of a PET scanner. Yes or no...

Calculate the marginal benefit to society from the purchase of a PET scanner. Yes or no on purchase in the decision column.

Probability that One cancer fatality could be at Prevented By a PET Scan

Value of One Life

Estimated Benefit

Cost of the Scanner

Decision

1 in 1,000,000

x

=

1 in 1,000

x

=

1 in 10

x

=

1 in 2

x

=

The cost of the scanner is $800,000. The value of one life is elevated to $10,000,000 now :)

Solutions

Expert Solution

Solution.

Following table can be generated with the help of given information

Probability that one cancer fatality could be prevented by a PET Scan

Value of one life

Estimated benefit

Cost of the Scanner

Decision

1 in 1000000 =

0.000001

X

10000000

=

10

800000

No

1 in 1000 =

0.001

X

10000000

=

10000

800000

No

1 in 10 =

0.1

X

10000000

=

1000000

800000

Yes

1 in 2 =

0.5

X

10000000

=

5000000

800000

Yes

In case of probability being 1 in 1000000, estimated benefit is lower than its cost. It is not advisable to purchase PET scanner in this case.

In case of probability being 1 in 1000, estimated benefit is lower than its cost. It is not advisable to purchase PET scanner in this case.

In case of probability being 1 in 10, estimated benefit is higher than its cost. It is advisable to purchase PET scanner in this case

In case of probability being 1 in 2, estimated benefit is higher than its cost. It is advisable to purchase PET scanner in this case


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