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. Maximum profit occurs at those x-values for which R'(x) = C'(x) and R"(x) < C"(x), where R(x) is the total revenue and C(x) is the total cost when x units are produced. 16. Maximizing area. A rancher wants to enclose two rectangular areas near a river, one for sheep and one for cattle. The rancher has 240 yd of fencing available. What is the largest total area that can be enclosed?

. Maximum profit occurs at those x-values for which R'(x) = C'(x) and R"(x) < C"(x), where R(x) is the total revenue and C(x) is the total cost when x units are produced. 16. Maximizing area. A rancher wants to enclose two rectangular areas near a river, one for sheep and one for cattle. The rancher has 240 yd of fencing available. What is the largest total area that can be enclosed?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In the problem I am trying to maximize the area for number 16. My constraint is 240 yd of fence. I added a picture of my work to see if I was on the right track. I assume that I could multiple the x•y twice. The additional x is throwing me off
s.pearson.com OneLogin Applications of Differentiation mine tion has tive 70. has tive 50. air he 1 ir that jective 4. mbers Week 8 W... mbers E Section 3.5 P Page 328 . Maximum profit occurs at those x-values for which R'(x) = C'(x) and R"(x) < C"(x), where R(x) is the total revenue and C(x) is the total cost when x units are produced. 16. Maximizing area. A rancher wants to enclose two rectangular areas near a river, one for sheep and one for cattle. The rancher has 240 yd of fencing available. What is the largest total area that can be enclosed? 17. Maximizing area. Grayson Farms plans to enclose three parallel rectangular livestock pens within one large rectangular area using 600 m of fencing. One side of the a is a pre-existing stone wall. M Coffee M
Transcribed Image Text:s.pearson.com OneLogin Applications of Differentiation mine tion has tive 70. has tive 50. air he 1 ir that jective 4. mbers Week 8 W... mbers E Section 3.5 P Page 328 . Maximum profit occurs at those x-values for which R'(x) = C'(x) and R"(x) < C"(x), where R(x) is the total revenue and C(x) is the total cost when x units are produced. 16. Maximizing area. A rancher wants to enclose two rectangular areas near a river, one for sheep and one for cattle. The rancher has 240 yd of fencing available. What is the largest total area that can be enclosed? 17. Maximizing area. Grayson Farms plans to enclose three parallel rectangular livestock pens within one large rectangular area using 600 m of fencing. One side of the a is a pre-existing stone wall. M Coffee M
1 $6a Week 8 Home work Constraint 240 yards of france MI Y 6. (x+y)+x) = aya 3- ухо x 30 (x+y)+x= 120 + X IX-X y=1a0-ax A(x) = x (120-2x) A(x)=120x-2x A'(x) = 120 - 4x = -10 100 150 180 210 Xx=-120 |x = 30 -प y = no-2 (3) = 60 (y=60)
Transcribed Image Text:1 $6a Week 8 Home work Constraint 240 yards of france MI Y 6. (x+y)+x) = aya 3- ухо x 30 (x+y)+x= 120 + X IX-X y=1a0-ax A(x) = x (120-2x) A(x)=120x-2x A'(x) = 120 - 4x = -10 100 150 180 210 Xx=-120 |x = 30 -प y = no-2 (3) = 60 (y=60)
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