Key information $$ A national launch would mean distributing $60,000$ coffee containers $$ A local test would mean $($initially$)$ distributing just $5,000$ containers within a single city $($and then having the option of considering a subsequent national launch on the remaining $60,0005,000=55,00$ containers$)$ Success below is understood as selling all $($remaining$)$ containers in the batch $($with more specific elaboration given on the next page$).$ More specifically, if no testing has been done then success would be selling all $60,000$ containers. If local testing succeeds $($i$.$e$.,$ if all $5,000$ containers sold$)$ then success would be selling the remaining $60,0005,000=55,000.$ If local testing fails $($i$.$e$.,$ if none of the $5,000$ containers sell$)$ then success would again be selling the remaining $60,0005,000=55,000.$ Decision Chance of success $($selling all $[$remaining$]$ containers$)$ No local testing $55\%$ Local testing succeeds $85\%$ Local testing fails $25\%$ Local testing, if done, has a $50\%$ chance of selling all $5,000$ containers and a $50\%$ chance of selling $0$ containers. Items Cost $/$ Revenue Per Packaging and shipping $$45,000$ cost fixed, but paid each time that a test or launch occurs. $($This will be $0$ or $1$ or $2$ times, depending upon the adopted strategy.$)$ Packaging and shipping $$10$ cost per container Branding $$50,000$ cost fixed, only has to be paid once $($This will be $0$ or $1$ times, depending upon the adopted strategy.$)$ Sale price $$20$ revenue per container For each local test and$/$or national launch, packaging and shipping is paid each time. If there is a test and$/$or a national launch, then the cost of branding occurs exactly once. what would be the expected value of perfect information $($EVPI$)?$ Discuss this in as much detail as you are able to$.$ Make a final recommendation on national or local launch, or neither. Justify your answer$($s$)$ using your responses above.