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18. Maximizing Area Four hundred eighty dollars are available to fence in a rectangular garden. The fencing for the north and south sides of the garden costs $10 per foot, and the fencing for the east and west sides costs $15 per foot. Find the dimensions of the largest possible garden.

18. Maximizing Area Four hundred eighty dollars are available to fence in a rectangular garden. The fencing for the north and south sides of the garden costs $10 per foot, and the fencing for the east and west sides costs $15 per foot. Find the dimensions of the largest possible garden.

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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could you answer question 18 please ?
tory Bookmarks Profiles Tab Window Help w gods bits of wood paper 51 X Sign In 15. Hic values o x+y+z= 1. X oducts/c4c234f8-15e7-4fd7-ad7d-77a24ce5a703/pages/90af9dd0-b567-11ec-b153-919de23e4996?userPreferred Type=read Ex Libris Discovery - african ra x Chapter 7: Functions of Several Variables 16. Find the values of x, y, and z that minimize xy + xz - 2yz subject to the constraint x+y+z= 2. 18 Section 7.4 Exercises 17. Maximizing a Product Find the two positive numbers whose product is 25 and whose sum is as small as possible. LO LIC ConstanL 18. Maximizing Area Four hundred eighty dollars are available to fence in a rectangular garden. The fencing for the north and south sides of the garden costs $10 per foot, and the fencing for the east and west sides costs $15 per foot. Find the dimensions of the largest possible garden. 19. Maximizing Volume Three hundred square inches of material are available to construct an open rectangular box with a square base. Find the dimensions of the box that maximize the volume. MacBook Air 20. Minimizing Space in a Firm The amount of space required by a particular firm is f(x, y)= 1000 √6x² + y², where x and y are, respectively, the number of units of labor and capital utilized. Suppose that labor costs $480 per unit and capital costs $40 per unit and that the firm has $5000 to spend. Determine the amounts of labor and capital that stv 19%
Transcribed Image Text:tory Bookmarks Profiles Tab Window Help w gods bits of wood paper 51 X Sign In 15. Hic values o x+y+z= 1. X oducts/c4c234f8-15e7-4fd7-ad7d-77a24ce5a703/pages/90af9dd0-b567-11ec-b153-919de23e4996?userPreferred Type=read Ex Libris Discovery - african ra x Chapter 7: Functions of Several Variables 16. Find the values of x, y, and z that minimize xy + xz - 2yz subject to the constraint x+y+z= 2. 18 Section 7.4 Exercises 17. Maximizing a Product Find the two positive numbers whose product is 25 and whose sum is as small as possible. LO LIC ConstanL 18. Maximizing Area Four hundred eighty dollars are available to fence in a rectangular garden. The fencing for the north and south sides of the garden costs $10 per foot, and the fencing for the east and west sides costs $15 per foot. Find the dimensions of the largest possible garden. 19. Maximizing Volume Three hundred square inches of material are available to construct an open rectangular box with a square base. Find the dimensions of the box that maximize the volume. MacBook Air 20. Minimizing Space in a Firm The amount of space required by a particular firm is f(x, y)= 1000 √6x² + y², where x and y are, respectively, the number of units of labor and capital utilized. Suppose that labor costs $480 per unit and capital costs $40 per unit and that the firm has $5000 to spend. Determine the amounts of labor and capital that stv 19%
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