Use the method of Lagrange multipliers to solve this exercise. I want to fence in a rectangular vegetable patch. The fencing for the east and west sides costs $2 per foot, and the fencing for the north and south sides costs only $1 per foot. I have a budget of $24 for the project. What is the largest area I can enclose? ________ ft2

Use the method of Lagrange multipliers to solve this exercise. I want to fence in a rectangular vegetable patch. The fencing for the east and west sides costs $2 per foot, and the fencing for the north and south sides costs only $1 per foot. I have a budget of $24 for the project. What is the largest area I can enclose? ________ ft2

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter1: Equations And Inequalities

Section1.CM: Cumulative Review Exercises

Problem 43CM: Gardening A gardener wishes to enclose her rectangular raspberry patch with 40 feet of fencing. The...

See similar textbooks

Similar questions

Edging a Planter A woman wants to make a small planter and surround it with edging material. She is deciding between two designs. Design 1: A square planter Design 2: A circular planter Edging material costs 3 a foot for the straight variety, which she would use for design 1 and 4 a foot for the flexible variety, which she would use for design 2. a If she decides on a perimeter of 24 ft, which design would give her the larger planting area? b If she decides to spend 120 on edging material, which design would give her the larger planting area?
Gardening A gardener wishes to enclose her rectangular raspberry patch with 40 feet of fencing. The raspberry bushes are planted along the garage, so no fencing is needed on that side. Find the dimensions if the total area is to be 192 feet.
When hired at a new job selling electronics, you aregiven two pay options: • Option A: Base salary of $10,000 a year with acommission of 9% of your sales • Option B: Base salary of $20,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?
When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $14,000 a year with acommission of 10% of your sales • Option B: Base salary of $19,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?