Question: A company must decide whether to develop a field that might have natural gas deposits. Before making this decision, the company can perform a soundings

A company must decide whether to develop a field that might have natural gas deposits. Before making this decision, the company can perform a soundings test for $90,000, and this test will either indicate that gas is present or that it isn't. However, the test isn't perfect. The following decision tree, all correct, has been developed. Assuming that the company is an EMV maximizer, which of the following is the most the company would pay for the soundings test, i.e., what is EVI?

A company must decide whether to develop a field

a. $90,000
b. $10,800
c. $0
d. $79,200

0 $1,890,000 No FALSE Yes 77.44 $1,800,000 Gas on site? $1,483,548 No 22.6% $180,000 $90,000 Yes 31.09 Develop field? $4,255,161 0 $5,610,000 Yes TRUE -$300,000 Yes 27.4% $6,000,000 Gas on site? $4,255,161 No 22.6% $390,000 Yes FALSE -590,000 Indicates Gas Present? $1,489,200 $1,890,000 No TRUE Yes 8.74 $1,800,000 Gas on site? $246,522 No 91.34 $180,000 $90,000 No 69.09 Develop field? $246,522 $5,610,000 Yes FALSE -$300,000 Yes 8.74 $6,000,000 Gas on site? $131,739 No 91.24 -$390,000 Decision Tree Perform soundings test? $1,500,000 No 70.09 $180,000 No FALSE $180,000 Gas on site? $720,000 30.09 $1,800,000 Yes $1,980,000 No TRUE 0 Develop field? $1,500,000 No 70.09 0.7 -$300,000 Yes TRUE -$300,000 Gas on site? $1,500,000 30.055 $6,000,000 Yes 0.3 $5.700.000

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