Calculus

A freight company will move one truck load of material according to the following cost schedule: The base shipping fee is $400 for any distance up to and including 150 miles and an additional $50 for each 50 mile increment over 150 miles.
The cargo cost is 15 cents per pound of freight shipped
The total shipping cost is the sum of the base shipping fee and the cargo cost
In the context of the scenario above, suppose you need to ship 3000 lbs. discuss the continuity of the total cost as a function of the trip distance for total distances ranging from 50 to 350 miles. Then, for trips less than 150 miles, discuss the continuity of the total cost as a function of shipping weight for total freight weighing 1000 to 4000 lbs. What are the roles played by limits in analyzing the continuity of each function in your answers?
For the first part is the function 0<x < or = 1<0
For the second part is the function 1000 < or equal to x < or equal to 4000
What is the limit I canโ€™t figure it out for both parts. Any help would be greatly appreciated.

  1. ๐Ÿ‘ 0
  2. ๐Ÿ‘Ž 0
  3. ๐Ÿ‘ 31
asked by George

Respond to this Question

First Name

Your Response

Similar Questions

  1. MaTh

    An empty truck weighs 2000 kg. After the truck was loaded, freight made up 80% of the weight of the loaded truck. At the first stop one fourth of the freight was unloaded. What percent of the loaded truck's weight did the load

    asked by meepolo on September 24, 2012
  2. math

    An empty truck weighs 2000 kg. After the truck was loaded, freight made up 80% of the weight of the loaded truck. At the first stop one fourth of the freight was unloaded. What percent of the loaded truck's weight did the load

    asked by ANON on September 23, 2012
  3. Math

    Which is better a truck delivery of soil or doing it yourself. Area to cover is 3500 SQ FEET with a 4 inch layer of topsoil or .33 =1156 cubic yards Your truck bed Volume of truck 80/36=2.22*69/36=1.92*20/36=.555=2.34 cubic feet

    asked by Anonymous on May 23, 2017
  4. Economics

    4. Deregulation and the Cost of Trucking. Suppose the government initially limits the number of trucking firms that can haul freight. The market for truck freight is served by a single firm that produces five million ton-miles of

    asked by Student on February 14, 2016
  5. PHYSICS

    A flatbed truck of mass 2000kg traveling 20 m/s (about 45mph)carries a load of mass 500kg positioned 3 meters behind the cab. The load is kept on the truck by friction, and the coefficient of friction between the load and the bed

    asked by Haley on October 12, 2010
  6. college algebra

    A rental company purchases a truck for $14,500. The truck requires an average cost of $6.75 per day in maintenance. (a) Find a linear function that expresses the total cost C of owning the truck after t days. C(t) = 1

    asked by Barb on October 22, 2014
  7. algebra

    a truck rental company rents a truck for one day charging $29 plus $0.10 per mile. Write a linear equation that relates the cost C in dollars, of renting the truck to the number x of the miles driven. Also, what is the cost of the

    asked by beechst on October 22, 2011
  8. Math

    Suppose Meagan needs to drive the truck 10 miles to her new home. a) What is the cost of using Truck A? b) What is the cost of using Truck B? c) Which company offers the better deal at this mileage? 2. Suppose Meagan needs to dive

    asked by Ryan on January 26, 2014
  9. algebra

    A rental company purchases a truck for $14,500. The truck requires an average cost of $6.75 per day in maintenance. (a) Find a linear function that expresses the total cost C of owning the truck after t days. C(t) = (b) The truck

    asked by Cathy on October 24, 2014
  10. Math

    A truck rental company rents a moving truck for one day by charging $22 plus $0.09 per mile. Write a linear equation that relates the costโ€‹ C, inโ€‹ dollars, of renting the truck to the number x of miles driven. What is the cost

    asked by Anonymous on October 2, 2015

More Similar Questions