2. Solve by Lagrange Multiplier Method: Clearly identify your constraint function and your system. You may use either approach you learned in class and on the video. Mr. Eppolito has $360 to spend on fencing to fence a rectangular garden. The fencing for the north and south sides of the garden costs $10/ft. The fencing for the east and west sides costs $15/ft. Find the dimensions that will allow Mr. Eppolito to fence in the largest-sized garden. Draw a diagram of this scenario. Write the method you will use to solve it, then do so, showing all the necessary equations.

2. Solve by Lagrange Multiplier Method: Clearly identify your constraint function and your system. You may use either approach you learned in class and on the video. Mr. Eppolito has $360 to spend on fencing to fence a rectangular garden. The fencing for the north and south sides of the garden costs $10/ft. The fencing for the east and west sides costs $15/ft. Find the dimensions that will allow Mr. Eppolito to fence in the largest-sized garden. Draw a diagram of this scenario. Write the method you will use to solve it, then do so, showing all the necessary equations.

Name: 2. Solve by Lagrange Multiplier Method: Clearly identify your constra
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Description: 2. Solve by Lagrange Multiplier Method: Clearly identify your constraint function and yoursystem. You may use either approach you learned in class and on the video.Mr. Eppolito has S360 to spend on fencing to fence a rectangular garden. The fencing

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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Topic Video

Question

2. Solve by Lagrange Multiplier Method: Clearly identify your constraint function and your
system. You may use either approach you learned in class and on the video.
Mr. Eppolito has S360 to spend on fencing to fence a rectangular garden. The fencing for the
north and south sides of the garden costs $10/ft. The fencing for the east and west sides costs
$15/ft. Find the dimensions that will allow Mr. Eppolito to fence in the largest-sized garden.
Draw a diagram of this scenario. Write the method you will use to solve it, then do so,
showing all the necessary equations.

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Bruce's Material Company hauls gravel to a construction site, using a small truck and a large truck. The carrying capacity and operating cost per load are given in the accompanying table. Bruce must deliver a minimum of 240 cubic yards per day to satisfy her contract with the builder. The union contract with her drivers requires that the total number of loads per day is a minimum of 8. How many loads should be made in each truck per day to minimize the total cost? Capacity (yd³) Cost per Load Small Truck Large Truck 40 $97 60 $70 In order to minimize the total cost, the number of loads in a small truck that should be made is and the number of loads in a large truck that should be made is