21. A health club charges new members \( \$ 80 \) to join and then \( \$ 50 \) per month. Jody has
\( \$ 700 \) budgeted for fitness this year. Which inequality can be used to find the number of months Jody can be a member of the health club? A. \( 50 x + 80 < 700 \)
B. \( 50 x + 80 > 700 \)
C. \( 80 x + 50 < 700 \)
D. \( 80 x + 50 > 700\)
A option
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?
