The number of bicycles, n, sold at one store in a week is a
function of the price, p, in dollars. So n(p) for p > 80.
The store’s cost, c, in dollars for each bike is a function of the number of
bikes the store sells each week. So c(n) 0.002(n � 2)2 � 80.
(a) Evaluate n(100) and n(180). Why are these values reasonable in this
situation?
(b) Evaluate c(8) and c(48). Why are these values reasonable in this
situation?
(c) Evaluate the cost of each bicycle to the store if the selling price is $120.
(d) Determine the store’s profit per bicycle if the selling price is $120.
(e) Evaluate the total profit if the selling price is $120.
(f) Express the cost of each bike to the store as a function of the selling
price.
(g) Express the total profit in terms of the functions c and n and the
variable p.
(h) Use graphing technology to graph total profit versus price.
1 answer
1 answer