M2. Discussion: Piecewise Functions Topic For this discussion activity, you will
ID: 413742 • Letter: M
Question
M2. Discussion: Piecewise Functions Topic For this discussion activity, you will take on the role of a person who has decided to open an online store. You want to figure out what shipping fees to charge customers, and you want to base the charge on the weight of the item purchased. To do so, you will create a piecewise function that includes your shipping charges for items, including three to five weight differences. In your initial 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 and cons of using each type of function in this case to determine the costs?Explanation / Answer
Answer:
Online Store: We have planned to open an online store for online sale of following items
We have signed with various vendors who will support the demand of books and computer/laptop items and ready to support as per the agreed terms and condition for the retail online store.
We have Names the online store as “Electronic Knowledge Zone Online Store”. This online store will be manly engaged in supplying the books and computer/laptop items to the customers via online purchase process.
Shipping fees is charged per items based on the weight of the items. The item weight matrix is as below
Shipping Rate as below –
Rules for the Online Store are as below
Shipping Charge Function is a step function : Yes, the shipping charge function is a step function, as the value of the shipping charges are vary with respect to the weight of the shipments. Thus the shipping charges are the function of the weight of the goods to be dispatched to customers.
The shipping charges could be determined by the piecewise function, as the shipping charges are determined based on the weight of the each piece of the goods. Thus the goods are having individual weight forms the piecewise function and the rates applicable for each piece is based on the step function.
Pros:
Cons:-
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