Answer:
The expected profit will be of 700 dollars
Explanation:
The expected profit will be the multiplication of the outcomes by their probability:
We have 10% chance of selling <u>zero </u>thus:
1,000(0) + 200(3-0) - 1,500 = -900
We have 20% chance of selling <u>one </u>thus:
1,000(1) + 200(3-1) - 1,500 = -100
We have 30% chance of selling <u>two </u>thus:
1,000(2) + 200(3-2) - 1,500 = 700
We have 40% chance of selling <u>all </u>thus:
1,000(3) + 200(3-3) - 1,500 = 1,500
![\left[\begin{array}{ccc}weight&outcome&w.profit\\0.1&-900&-90\\0.2&-100&-20\\0.3&700&210\\0.4&1,500&600\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dweight%26outcome%26w.profit%5C%5C0.1%26-900%26-90%5C%5C0.2%26-100%26-20%5C%5C0.3%26700%26210%5C%5C0.4%261%2C500%26600%5Cend%7Barray%7D%5Cright%5D)
We add each weighted profit to get the expected result:
-90 - 20 + 210 + 600 = 700