Can anyone solve all of this please?

16. Chapter Problem The owners of Mooses, Gooses, and Juices are considering an increase in the price of their frozen fruit smoothies. At the current price of $1.75 they sell on average 150 smoothies a day. Their research shows that every $0.25 increase in the price of a smoothie will result in a decrease of 10 sales per day. a) . Write an equation to represent the revenue, R, as a function of ", the number of $0.25 price increases. b) Compare the rate of change of revenue when the price increases by $0.25, $0.75, $1.00, $1.25, and $1.50. c) When is R'(n) = 0? Interpret the meaning of this value for this situation. d) If it costs $0.75 to make one smoothie, what will be the rate of change in profit for each price increase indicated in part b)? e) What price will result in a maximum profit? Justify your answer. How can this be confirmed using derivatives? f) Compare your answers in part b) and part d). Give reasons for any similarities or differences