Volume DiscountJester Apparel sells custom promotional shirts. The table below shows the volume discount offeredby the company, where x is the volume of a purchase in dollars.Table: Volume Discount (Excluding Tax)Volume ($x)Discount Amount$300 < x < $1,0001.2%$1,000 < x < $3,5005.6%$3,500 < x < $6,0008.4%$6,000 < x|11.3%Assume that the volume discount applies to the entire purchase. For example, if the volume xsatisfies $3,500 < x < $6,000, then the entire purchase is discounted 8.4%. Let D(x) be thediscounted price if x is the volume of the purchase before the discount is applied.Consider the following limits.1. lim D(x)x→35002. lim D(x)x→3500+3. lim D(x)x→3500Compute 1. Round to the nearest cent. Enter a O if the limit does not exist.

Given, Jester Apparel sells custom promotional shirts. The table below shows the volume discount…

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Volume Discount

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

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ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

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Problem 12CR: Marginal Tax Rate The following table shows tax due for the given taxable income level for a single...

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Question

Volume Discount
Jester Apparel sells custom promotional shirts. The table below shows the volume discount offered
by the company, where x is the volume of a purchase in dollars.
Table: Volume Discount (Excluding Tax)
Volume ($x)
Discount Amount
$300 < x < $1,000
1.2%
$1,000 < x < $3,500
5.6%
$3,500 < x < $6,000
8.4%
$6,000 < x
|11.3%
Assume that the volume discount applies to the entire purchase. For example, if the volume x
satisfies $3,500 < x < $6,000, then the entire purchase is discounted 8.4%. Let D(x) be the
discounted price if x is the volume of the purchase before the discount is applied.
Consider the following limits.
1. lim D(x)
x→3500
2. lim D(x)
x→3500+
3. lim D(x)
x→3500
Compute 1. Round to the nearest cent. Enter a O if the limit does not exist.

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