HELP WHOEVER ANSWERS BOTH PARTS CORRECTLY GETS BRAINLIES.

A community theater uses the function p(d)=−5d^2+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.