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A poster of area 6000 cm has blank margins of width 10 cm on the top and bottom and 6 cm on the sides. Find the dimensions that maximize the printed area. (The objective function and the domain have been given to you.) Let x > 0 denote the width of the poster, and let y > 0 denote the length of the poster. Note x > 12, y > 20 6000 6000 xy = 6000, y = " x > 20⇒ 6000 > 20x⇒300 > x A = (x - 12) (y – 20)with domain x € (12, 300) The area function is A(x) = (x − 12)(~ 6000 20) x

A poster of area 6000 cm has blank margins of width 10 cm on the top and bottom and 6 cm on the sides. Find the dimensions that maximize the printed area. (The objective function and the domain have been given to you.) Let x > 0 denote the width of the poster, and let y > 0 denote the length of the poster. Note x > 12, y > 20 6000 6000 xy = 6000, y = " x > 20⇒ 6000 > 20x⇒300 > x A = (x - 12) (y – 20)with domain x € (12, 300) The area function is A(x) = (x − 12)(~ 6000 20) x

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 poster of area 6000 cm´has blank margins of width 10 cm on the top and bottom and 6 cm on the sides. Find the dimensions that maximize the printed area. (The objective function and the domain have been given to you.) Let x > 0 denote the width of the poster, and let y > 0 denote the length of the poster. Note x > 12, y > 20 6000 6000 xy = 6000, y A = = 9 > 20⇒ 6000 > 20x⇒300 > x X (x - 12)(y-20)with domain x € (12, 300) 6000 area function is A(x) (x − 12)( 20) X =
Transcribed Image Text:A poster of area 6000 cm´has blank margins of width 10 cm on the top and bottom and 6 cm on the sides. Find the dimensions that maximize the printed area. (The objective function and the domain have been given to you.) Let x > 0 denote the width of the poster, and let y > 0 denote the length of the poster. Note x > 12, y > 20 6000 6000 xy = 6000, y A = = 9 > 20⇒ 6000 > 20x⇒300 > x X (x - 12)(y-20)with domain x € (12, 300) 6000 area function is A(x) (x − 12)( 20) X =
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