A company sells custom embroidered apparel and promotional products. Table 1 shows the volume discounts offered by the company, where x is the volume of a purchase in dollars. Problems 95 and 96 deal with two different interpretations of this discount method.

Assume that the volume discounts in Table 1 apply to the entire purchase. That is, if the volume x satisfies $300 ≤ x < $1,000, then the entire purchase is discounted 3%. If the volume x satisfies $1,000 ≤ x < $3,000, the entire purchase is discounted 5%, and so on.

(A) If x is the volume of a purchase before the discount is applied, then write a piecewise definition for the discounted price D(x) of this purchase.

(B) Use one-sided limits to investigate the limit of D(x) as x approaches $1,000. As x approaches $3,000.

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Table 1 Volume Discount (Excluding Tax) Volume ($x) Discount Amount $300