answer and demonstration of the problem and explanation.

myopenmath.com A coffee shop currently sells 400 lattes a day at $2.75 each. They recently tried raising the by price by $0.25 a latte, and found that they sold 40 less lattes a day. a) Assume that the number of lattes they sell in a day, N, is linearly related to the sale price, p (in dollars). Find an equation for N as a function of p. b) Revenue (the amount of money the store brings in before costs) can be found by multiplying the cost per cup times the number of cups sold. Again using p as the sales price, use your equation from above to write an equation for the revenue, R as a function of p. Rm) = _ c) The store wants to maximize their revenue (make as much money as possible). Find the value of p that will maximize the revenue (round to the nearest centy P which will give a maximum revenue of $ Submit