A trucking company transports goods between Chicago and New

A trucking company transports goods between Chicago and New York, a distance of 960 miles. For a certain quantity of goods, the company charges $5.00 per mile for the first 100 miles, $4.00 per mile for the next 300 miles, $2.50 per mile for the next 400 mikes, and no charge for the remaining 100 miles. a. Find the cost for transporting goods 150 miles from Chicago. b. Find the cost as a function of mileage for hands between Chicago and New York.

Solution

distance between chicago and new york is 960 miles

a) cost of transporting 150 miles from chicago

$ 5 / mile for first 100 miles

= 5(100) = $ 500

remaining distance = 50 miles

so for 100 above it charges $ 4

= 50(4) = $200

total cost = 500 + 200 = $ 700 for 150 miles from Chicago

b)

cost function can be written as

C(x) = 5(100) + 4(300) + 2.50 (x-400)