A monopolists inverse demand function is estimated as P $=3502$Q$.$ The company produces output at two facilities; the marginal cost of producing at facility $1$ is MC$1($Q$1)=7$Q$1,$ and the marginal cost of producing at facility $2$ is MC$2($Q$2)=2$Q$2.$a$.$ Provide the equation for the monopolists marginal revenue function. $($Hint: Recall that Q$1+$ Q$2=$ Q$.)$ MR$($Q$)=$ Q$1$ Q$2$ b$.$ Determine the profit$-$maximizing level of output for each facility. Instructions: Round your response to two decimal places.Output for facility $1$: Output for facility $2$: c$.$ Determine the profit$-$maximizing price. Instructions: Round your response to the nearest penny $($two decimal places$).$ $