27. After \( 8 \) ounces of juice are poured out from a container, there are \( 24 \) ounces left. Which equation can be used to find \( n \) , the number of ounces of julce, in the container before the ounces were poured out?
A. \( 8 n = 24 \) C. \( n - 8 = 24 \)
B. \( \frac { n } { 8 } = 24 \) D. \( n + 8 = 24\)
C
Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
9. A board game company models the profit on its latest board game using the quadratic relation
\( P = - 2 x ^ { 2 } + 28 x - 90 , \) where \( x \) is the number of games it produces in hundred thousands and \( P \) is the profit in millions of dollars.
a) What are the break-even points for the company?
b) What is the maximum profit that the company can earn?
