Ed has a rectangular garden along a bank of a river. He plans to enclose it with a fence with a limited budget of Php900. After canvassing the price of the fencing material, he decided to use different materials for the side parallel to the river and for the sides perpendicular to the river (no fencing is needed along the side of the river). If the material for the side parallel to the river costs Php5 per foot while the material for the sides perpendicular to the river costs Php3 per foot, determine the perimeter of the rectangular plot if its area is to be a maximum.    a. 240 sq. ft.   b. 294 sq. ft.   c. 307 sq. ft.   d. 216 sq. ft.

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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Ed has a rectangular garden along a bank of a river. He plans to enclose it with a fence with a limited budget of Php900. After canvassing the price of the fencing material, he decided to use different materials for the side parallel to the river and for the sides perpendicular to the river (no fencing is needed along the side of the river). If the material for the side parallel to the river costs Php5 per foot while the material for the sides perpendicular to the river costs Php3 per foot, determine the perimeter of the rectangular plot if its area is to be a maximum. 

  a.

240 sq. ft.

  b.

294 sq. ft.

  c.

307 sq. ft.

  d.

216 sq. ft.

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