A company sells embroidered apparel. The volume discounts offered by the company are shown below,...
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A company sells embroidered apparel. The volume discounts offered by the company are shown below, where x is the volume of a purchase in dollars. Volume ($x) Discount Amount $300 x < $1000 3% $1000 x < $3000 5% $3000 x < $5000 7% $5000 x 10% Assume the volume discounts in Table 1 apply only to that portion of the volume in each interval. That is, the discounted price for a $4000 purchase would be computed as follows: 300 + .97(700) + .95(2000) +.93(1000) = 3,809 a. If x is the volume of a purchase before the discount is applied, then write a piecewise definition for the discounted price P(x) of this purchase. b. Use one sided limits to investigate the limit of P(x) as x approaches $1000. What about as x approaches $3000?
A company sells embroidered apparel. The volume discounts offered by the company are shown below, where x is the volume of a purchase in dollars.
Volume ($x) Discount Amount
$300 x < $1000 3%
$1000 x < $3000 5%
$3000 x < $5000 7%
$5000 x 10%
Assume the volume discounts in Table 1 apply only to that portion of the volume in each interval. That is, the discounted price for a $4000 purchase would be computed as follows:
300 + .97(700) + .95(2000) +.93(1000) = 3,809
a. If x is the volume of a purchase before the discount is applied, then write a piecewise definition for the discounted price P(x) of this purchase.
b. Use one sided limits to investigate the limit of P(x) as x approaches $1000. What about as x approaches $3000?
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