2. The function q(p) = 5e-01p3p 10 models the demand of bananas when price is set...

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2. The function q(p) = 5e-01p²3p 10 models the demand of bananas when price is set at p dollars per pound. (a) Find the function R(p) to model revenue generated by banana sales when price is set at p dollars per pound. (b) Find the derivative R'(p), clearly explaining the process using chain rule and/or product rule when necessary. (c) Evaluate both R(p) and R'(p) when p = 0.33. Interpret both with a complete sentence answering the questions: When? What? How? By how much? (d) Evaluate both R(p) and R'(p) when p = 0.34. Interpret both with a complete sentence answering the questions: When? What? How? By how much? 2. The function q(p) = 5e-01p²3p 10 models the demand of bananas when price is set at p dollars per pound. (a) Find the function R(p) to model revenue generated by banana sales when price is set at p dollars per pound. (b) Find the derivative R'(p), clearly explaining the process using chain rule and/or product rule when necessary. (c) Evaluate both R(p) and R'(p) when p = 0.33. Interpret both with a complete sentence answering the questions: When? What? How? By how much? (d) Evaluate both R(p) and R'(p) when p = 0.34. Interpret both with a complete sentence answering the questions: When? What? How? By how much?