Explanation Given information: A bakery owner knows that customers buy a total of q cakes when the price, p, is no more than p = d ( q ) = 20 – q / 20 dollars. She is willing to make and supply as many as q cakes at a price of p = s ( q ) = 11 + q / 40 dollars each. The graphs of d(q) and s(q) are in Figure 1.65. Concept Used: The quantity, q of an item that is manufactured and sold depend on its price, p To determine (b) To identify: Whether the given ordered pairs (q, p) a solution to the inequality p ≤ 20 − q / 20 To determine (c) To graph: The solution set of the system of inequalities p ≤ 20 − q / 20 , p ≥ 11 + q / 40 To determine (d) To find: The right most point of solution set of the system of inequalities p ≤ 20 − q / 20 , p ≥ 11 + q / 40

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 1.4, Problem 37P

To determine

(a)

To explain:

The reason why slope of d(q) is negative and slope of s(q) is positive.

To determine

(b)

To identify:

Whether the given ordered pairs (q, p) a solution to the inequality p≤20−q/20

To determine

(c)

To graph:

The solution set of the system of inequalities p≤20−q/20, p≥11+q/40

To determine

(d)

To find:

The right most point of solution set of the system of inequalities p≤20−q/20, p≥11+q/40

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Chapter 1.4, Problem 36P

Chapter 1.4, Problem 38P

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Chapter 1 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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(a) To explain: The reason why slope of d(q) is negative and slope of s(q) is positive.

Solution Summary: The author explains the reason why slope of d(q) is negative, while supply curve is positive. Price and quantity are directly proportional each other.

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(a) To explain: The reason why slope of d(q) is negative and slope of s(q) is positive.

(b) To identify: Whether the given ordered pairs (q, p) a solution to the inequality p≤20−q/20

(c) To graph: The solution set of the system of inequalities p≤20−q/20, p≥11+q/40

(d) To find: The right most point of solution set of the system of inequalities p≤20−q/20, p≥11+q/40

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Chapter 1 Solutions

(a)

To explain:

The reason why slope of d(q) is negative and slope of s(q) is positive.

(b)

To identify:

Whether the given ordered pairs (q, p) a solution to the inequality p≤20−q/20

(c)

To graph:

The solution set of the system of inequalities p≤20−q/20, p≥11+q/40

(d)

To find:

The right most point of solution set of the system of inequalities p≤20−q/20, p≥11+q/40