A community theater uses the function p(d) = -5d? + 300d – 200 to model the profit (in dollars)
expected in a weekend when the tickets to a comedy show are
priced at d dollars each.
Part A: Write and solve an equation to find out the prices at which
the theater would earn $2,300 in profit from the comedy show each
weekend. Show your reasoning.
Part B: At what price would the theater make the maximum profit,
and what is that maximum profit? Show your reasoning.