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A bakery owner knows that customers buy a total of q cakes when the price, p, is no more 30 d(q) = 25 10 %3D 25 than p = d(q) = 25 dollars. 10 She is willing to make and supply р 15- as many as q cakes at a price of 10 p = s(q) = 10 + dollars each. 20 s(q) = 10 + 20 %3D The graphs of d(q) and s(q) are in the figure to the right. 25 50 75 100 125 150 175 A (c) Graph the solution set of the system of inequalities p< 25 - p > 10 + by placing the 20 10' point A into the area on the grid that should be shaded. Note: A point (q, p) in this region represents a quantity q of cakes that customers would be willing to buy, and that the bakery-owner would be willing to make and sell, at the price p. (d) What is the rightmost point of the solution set from part (c)? (q, p) = | (?, ?) Interpret your answer in terms of the context. The price to sell and quantity produced are equal at this point. 20

A bakery owner knows that customers buy a total of q cakes when the price, p, is no more 30 d(q) = 25 10 %3D 25 than p = d(q) = 25 dollars. 10 She is willing to make and supply р 15- as many as q cakes at a price of 10 p = s(q) = 10 + dollars each. 20 s(q) = 10 + 20 %3D The graphs of d(q) and s(q) are in the figure to the right. 25 50 75 100 125 150 175 A (c) Graph the solution set of the system of inequalities p< 25 - p > 10 + by placing the 20 10' point A into the area on the grid that should be shaded. Note: A point (q, p) in this region represents a quantity q of cakes that customers would be willing to buy, and that the bakery-owner would be willing to make and sell, at the price p. (d) What is the rightmost point of the solution set from part (c)? (q, p) = | (?, ?) Interpret your answer in terms of the context. The price to sell and quantity produced are equal at this point. 20

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A bakery owner knows that customers buy a total of q cakes when the price, p, is no more 30 |d(q) = 25 25 10 than p = d(q) = 25 dollars. 10 20 She is willing to make and supply P 15 as many as q cakes at a price of 10 s(q) b. = 10 + p = s(q) = 10 + dollars each. 20 20 The graphs of d(q) and s(q) are in the figure to the right. 25 50 75 100 125 150 175 A (c) Graph the solution set of the system of inequalities p < 25 10' 20 by placing the p > 10Η point A into the area on the grid that should be shaded. Note: A point (q, p) in this region represents a quantity q of cakes that customers would be willing to buy, and that the bakery-owner would be willing to make and sell, at the price p. (d) What is the rightmost point of the solution set from part (c)? (q,p) = (?, ?) Interpret your answer in terms of the context. The price to sell and quantity produced are equal at this point.
Transcribed Image Text:A bakery owner knows that customers buy a total of q cakes when the price, p, is no more 30 |d(q) = 25 25 10 than p = d(q) = 25 dollars. 10 20 She is willing to make and supply P 15 as many as q cakes at a price of 10 s(q) b. = 10 + p = s(q) = 10 + dollars each. 20 20 The graphs of d(q) and s(q) are in the figure to the right. 25 50 75 100 125 150 175 A (c) Graph the solution set of the system of inequalities p < 25 10' 20 by placing the p > 10Η point A into the area on the grid that should be shaded. Note: A point (q, p) in this region represents a quantity q of cakes that customers would be willing to buy, and that the bakery-owner would be willing to make and sell, at the price p. (d) What is the rightmost point of the solution set from part (c)? (q,p) = (?, ?) Interpret your answer in terms of the context. The price to sell and quantity produced are equal at this point.
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