ester Apparel sells custom promotional shirts. The table below shows the volume discount offered by the company, where � is the volume of a purchase in dollars. Table: Volume Discount (Excluding Tax) Volume ($�) Discount Amount $300 ≤�< $1,000 2.8% $1,000 ≤�< $3,500 5.2% $3,500 ≤�< $6,000 6.5% $6,000 ≤� 12.4% Assume that the volume discount applies to the entire purchase. For example, if the volume � satisfies $3,500 ≤�< $6,000, then the entire purchase is discounted 6.5%. Let �(�) be the discounted price if � is the volume of the purchase before the discount is applied.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Jester Apparel sells custom promotional shirts.  The table below shows the volume discount offered by the company, where � is the volume of a purchase in dollars.

Table: Volume Discount (Excluding Tax)

Volume ($�) Discount Amount
$300 ≤�< $1,000 2.8%
$1,000 ≤�< $3,500 5.2%
$3,500 ≤�< $6,000 6.5%
$6,000 ≤� 12.4%

Assume that the volume discount applies to the entire purchase.  For example, if the volume � satisfies $3,500 ≤�< $6,000, then the entire purchase is discounted 6.5%.  Let �(�) be the discounted price if � is the volume of the purchase before the discount is applied.

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