Math  /  Word Problems

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

Studdy Solution
Substitute the values of aa, bb, and cc into the quadratic formula and solve for pp.
p=(9k+39+25.5)±(9k+39+25.5)2(k)(488)2(k)p = \frac{-(9k +39 +25.5) \pm \sqrt{(9k +39 +25.5)^2 -(-k)(-488)}}{2(-k)}This will give two solutions for pp, which are the two cover charges that allow the club to break even. However, without knowing the value of kk, we can't find specific values for pp.

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