Answer:
[tex]P(X=700) =0.35*700 -76= 169[/tex]
Step-by-step explanation:
For this case we have the following profit function:
[tex] P(X) = 0.35 X -76[/tex]
And we are interested on find the profit after selling 700 pretzels, so we just need to replace X=700 into the profit function like this:
[tex]P(X=700) =0.35*700 -76= 169[/tex]
The profit function is on the figure attached. We see that for 0<X<217 we have negative profits, and for X>217 we will have positive values for the profit. And also we can see that for X=700 we have a profit of approximately 169.