A landowner in Texas is offered $200,000 for the exploration rights to oil on her land, along with a 25% royalty on the future profits if oil is discovered. The landowner is also tempted to develop the field herself, believing that the interest in her land is a good indication that oil is present. In that case, she will have to contract a local drilling company to drill an exploratory well on her own. The cost for such a well is $750,000, which is lost forever if no oil is found. If oil is discovered, however, the landowner expects to earn future profits of $7,500,000. Finally, the landowner estimates (with the help of her geologist friend) the probability of finding oil on this site to be 70%. What should the landowner do

b. She should develop herself as the EMV of developing is $1.125 million, which is higher than the EMV of selling.

Explanation:

The probability of discovered oil = 0.25 (25%)

Selling the exploration right= Selling Price + Probability of discovered oil × Royalty% × Future Profit

= $200,000 + 0.25 × 0.25 × $7,500,000 = $668,750

Developing = Probability of finding the oil × Future Profits - Cost of Well

= 0.25 × $7,500,000 - $750,000 = $1,125,000

= $1.125 million

Therefore the EMV for selling the exploration rights is less than the developing, the landowner will develop the site by his own.

start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

hope this

im thinking a but im not 100% sure

explanation: