Is your shipping-charge function a step function? Could shipping charges be determined using a piecewise function that isn’t a step function? What are the pros of using each type of function in this case to determine the costs? What are the cons of using each type of function in this case to determine the costs?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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You just recently opened a business that will be selling items on the Internet. You don’ t actually have a physical store that people can come to, so you will be shipping all the items to your customers. You want to base the shipping fees charged on the weight of the item that is purchased. Create a piecewise function that includes your shipping charges for items, including at least three to five weight differences.

In your post, include the name of your store, the items you sell, and show your shipping-charge function. With the function state the rules and domain intervals where they apply. Also address the following questions:

  • Is your shipping-charge function a step function? Could shipping charges be determined using a piecewise function that isn’t a step function?
  • What are the pros of using each type of function in this case to determine the costs?
  • What are the cons of using each type of function in this case to determine the costs?
Expert Solution
Step 1

Shipping fee is based on the weight of the item purchased

Name of the store- Chegg Electronics
Items sold- Consumer electronics, mobiles phones, laptops, wearable devices, accessories, digital watches etc
Shipping charges-
Weight Shipping fee
0-1 kg $      5.00
1-2 kg $   10.00
2-4 kg $   15.00
4-7 kg $   20.00
7-10 kg $   30.00
10 kg + $   50.00

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