Math / Word Problems

QuestionNext week, you charge \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Given costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees $p=$ (two values, rounded to two decimals).

Studdy Solution
Calculate the values for p.
$p = \frac{-73.5 \pm \sqrt{(73.5)^2 -4(-)(-488)}}{2(-)} =6.65,73.5$ The club breaks even when the cover charge is $6.65 or$ 73.5 per guest.

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