Sufficient & Necessary Questions - - Question 10

Because of the recent transformation of the market, Quore, Inc., must increase productivity 10 percent over the cours...

Ella2021 November 3, 2021

I thought must introduced necessity

I diagrammed RTM---QIP 10% or B I did it this way because I saw MUST. Can you please explain? Thank you!

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Jay-Etter January 23, 2022

Hi Ella,
You're correct that "must" introduces necessity. However we would want to change this diagramming a bit. Our sentence is "because of recent events Q must increase productivity 10% or it will go bankrupt"
So if "must" is introducing a necessary condition, what is this a condition of? It's a condition of not going bankrupt. So we would diagram this as:
Not go bankrupt -> increase P 10%
(contrapositive: don't increase P 10% -> will go bankrupt).

Our second sentence would be
if P 10% possible -> 20% is attainable
Therefore, our answer would be E. Because if a 20% increase is not attainable, then P 10% is not possible (contrapositive of diagram 2). And if we can't/don't increase P 10%, the company will go bankrupt.