represent the number of guests n as a function of the sellin

represent the number of guests ,n, as a function of the selling price,s dollars

represent the revenue, r dollars as a function of the price

Brookefield trails operates a snowmobile lodge. Last year it has 95 guests each paid $160 per night,, the manager estimates that she can expect 5 addition customers for $1 reduction in price

Solution

Let:

n = Number of guests

s = Selling price

r = Revenue

We have to formulate the equations for:

f1(s) = number of guests (n) as function of price (s)

And

f2(s) = Total revenue (r) as function of price (s)

f1(s) = n = 95 + 5(160 - s)

= 95 + 800 - 5s

895 - 5s

f2(s) = r = n*s = (895 - 5s)*s

= 895s - 5s^2

Answer:

n = 895 - 5s

r = 895s - 5s^2