A local park has hired you to construct a rectangular flower garden surrounded by a grass border that is 1 m wide on two sides and 2 m wide on the other two sides. (See the figure to the right.) The area of the garden only (the small rectangle) must be 126m2 Your primary task is to find the dimensions of the garden that give the smallest possible combined area of the garden and the grass border.
A local park has hired you to construct a rectangular flower garden surrounded by a grass border that is 1 m wide on two sides and 2 m wide on the other two sides. (See the figure to the right.) The area of the garden only (the small rectangle) must be 126m2 Your primary task is to find the dimensions of the garden that give the smallest possible combined area of the garden and the grass border.
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 local park has hired you to construct a rectangular flower garden surrounded by a grass border that is 1 m wide on two sides and 2 m wide on the other two sides. (See the figure to the right.) The area of the garden only (the small rectangle) must be
126m2
Your primary task is to find the dimensions of the garden that give the smallest possible combined area of the garden and the grass border.
For this problem, let W be the horizontal width of the garden and let H be the vertical height of the garden.
A) in terms of W and H the objective function for this problem f(W,H)=
b) The constraint equation for this problem is=
(c) In terms of W only, the objective function is f(W)=
(d) The interval of interest of the objective function is=
Transcribed Image Text:2 m
Flower garden
1 m
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