The demand function for a company is given by $q=985e^{-0\mathrm{.}3p},$ where $p$ is the selling price per item in dollars, and q is the quantity of items demanded.

a$.$ Find the Revenue Function $R(p).$

b$.$ Find the Marginal Revenue Function $R^{\text{'}}(p)$

c$.$ What price should the company charge per item to maximize revenue? Show all steps. A Sign Chart is required with work shown for test points, for full credit.

d$.$ What is the maximum revenue?

e$.$ Is the maximum revenue a local max, a global max, or both? Explain.