Now suppose Remox Corporation has the opportunity to invest in a feasibility study to determine whether product development would be successful. The feasibility stud$-$ ies would provide perfect information, so if the feasibility study predicted a successful product development, Remox would know with certainty that their investments would yield marketable products, and if the feasibility study predicted an unsuccessful prod$-$ uct development, Remox would know with certainty that their investments would not yield marketable products. Based on the outcome of the feasibility study, they could then make a determination about whether to invest in either of the two products. Since these feasibility studies provide perfect information, they will predict a success$-$ ful product development with the same objective probability that Remox would be able to successfully develop the two sensors$.$

Using this information, fill in the blanks in the modified decision tree in Figure $2$ below.

$($a$)$ What is the expected value of the temperature sensor$?$

$($b$)$ What is the expected value of the pressure sensor$?$

$($c$)$ If you were the manager of Remox Corporation, would you choose to develop either of these two products? If so$,$ which product would you choose to develop?

$($d$)$ What is the value of the feasibility study $($i$.$e$.,$ what is the value of perfect information$)?$Figure $2$: Decision tree for Remox Corporation with perfect information