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5. A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimensions of the field with the maximum area that can be enclosed by 1000 feet of fencing. y RARRRStream = NRRY tep 1: What is the quantity we are trying to maximize?

5. A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimensions of the field with the maximum area that can be enclosed by 1000 feet of fencing. y RARRRStream = NRRY tep 1: What is the quantity we are trying to maximize?

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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I need Help answering both question 5 and 6 . I don’t know how to do them.
5. A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimensions of the field with the maximum area that can be enclosed by 1000 feet of fencing. ER Stream RR Step 1: What is the quantity we are trying to maximize? Step 2: What is the formula that relates the variables and the quantity we are trying to maximize? Step 3: The amount of fencing is the constraint. Write an equation for this constraint. Remember that no fencing is needed for the side with the stream. Step 4: Solve for one of the variables in the constraint equation. Step 5: Substitute into the function we are trying to maximize, and simplify. 6. An open box is to be made from a sheet which is 30 inches by 30 inches by cutting out squares of equal size from the four corners and bending up the edges. Let h be the side of the square. Find the value of h that will produce the large volume. Write the equation of the function to be maximized. Remember that the volume of a rectangular solid is V = lwh in terms of h. V(h) = cut fold 30-2h Eh- 30 30-2h 30
Transcribed Image Text:5. A rectangular field is to be bounded by a fence on three sides and by a straight stream on the fourth side. Find the dimensions of the field with the maximum area that can be enclosed by 1000 feet of fencing. ER Stream RR Step 1: What is the quantity we are trying to maximize? Step 2: What is the formula that relates the variables and the quantity we are trying to maximize? Step 3: The amount of fencing is the constraint. Write an equation for this constraint. Remember that no fencing is needed for the side with the stream. Step 4: Solve for one of the variables in the constraint equation. Step 5: Substitute into the function we are trying to maximize, and simplify. 6. An open box is to be made from a sheet which is 30 inches by 30 inches by cutting out squares of equal size from the four corners and bending up the edges. Let h be the side of the square. Find the value of h that will produce the large volume. Write the equation of the function to be maximized. Remember that the volume of a rectangular solid is V = lwh in terms of h. V(h) = cut fold 30-2h Eh- 30 30-2h 30
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