Question: We wish to enclose with a fence a rectangular region of 2,916 square feet next to a wall. Only 3 sides need to be fenced.

We wish to enclose with a fence a rectangular region of 2,916 square feet next to a wall. Only 3 sides need to be fenced. The fencing for one side perpendicular to the wall (with dimension c) costs $25/ft. The other two sides (one with dimension y and the other with dimension I) cost $11/ft. . What are the dimensions of the rectangle that minimize cost? What is the minimum cost? What is the cost of the fence C (x, y) in terms of rand y? C(I, y)= The dimensions for the minimized cost of the rectangle that minimize cost are y*= Does O (r, y) have a local maximum, local minimum, or neither at the value of r*,y*? O neither maximum O minimum What is the minimum cost? The minimum cost is

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Economics Questions!

Question 9 0/1 pt 9 3 2 19 0 Details You have 47 yards of fencing and you need to enclose a rectangular area having TWO pens as shown. However, a wall is on one side of the rectangle so you do NOT...

Need help with #15 please. It is an Optimization Problem. (b) Draw a diagram illustrating the general situation. figure, and bending up the Introduce notation and label the diagram with your the box...

1-2 UM - Netflix North Seattle Co... Of$ - Huang, Yic... LUFTPLUTOV - 77 0 DEcans A rectangular storage area is to be constructed along a side of a building. A security fence is required along the...

Find the minimum of Q =4x + 4y ifx+ y = 8. The minimum value of Q is Q = 8 (Simplify your answer. Type an exact answer, using radicals as needed.)There are $416 available to fence in a rectangular...

3. Mai wants to make an open-top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is 10 centimeters by 10 centimeters. The volume V(x) in cubic...

6. Answer all questions 10. A water treatment plant is on the south bank of a straight river that is 2 miles wide. A sewer pipe is to be built from the plant to tanks located on the north bank of the...

Note: Here's an example of how you might solve a tangent line approximation problem. A rectangular field has one side along a straight riyerr and the other three sides are fenced. There are exactly...

dimensions of the region if you want to use a minimum amount of fencing? 48. Suppose you want to fence in a rectangular shaped region that must contain 529 square feet. What should be the dimensions...

Section 2.6: (page 120) Numbers 4, 5, 7-9 all, 16, 17 Section 2.7: (page 133) Numbers 3-6 all, 9-12 all Section 2.8: (page 140) Numbers 10-12 all Section 2.9: (page 148) Numbers 1, 2, 3, 4a, 6a...

prompt help Ifyou have 300 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose? Area = 1" (include units) HINTS: Keep...

uestion 6 (1 point) Question 6 Unsaved In the landmark case, Harris v. Forklift Systems, the Supreme Court established the theory of hostile environment sexual harassment. In her opinion, Justice...

Banner Company acquires an 80% interest in Roller Company for $640,000 cash on January 1, 2013. The NCI has a fair value of $160,000. Any excess of cost over book value is attributed to goodwill. To...

1. ABCD is a parallelogram. The coordinates of A, B and Care (-3, 5), (2, 7) and (4,6) respectively. Find (i) the coordinates of D, (ii) the length of the diagonal BD.

QUESTION ANSWER 1 An electronic business refers to 0 0 the buying and selling of goods and services over the Internet the use of digital technology and the Internet to execute the major business...

7. Think of a situation where you felt that you mastered the situation, i.e. where you had a positive feeling of completing the task you were to perform. A. Now develop a picture in your imaginary...

6. Think of something that you believe in, without the slightest doubt attached to it. How do you imagine this? Is it verbal, in rumours, in metaphors or the like? The answer says something about how...

Do not move closer than an arms distance. (This distance literally applies to Northern Europe. In Southern Europe this distance is slightly smaller.) If you get closer than this distance, you seem...