A landscape architect plans to enclose a 3000 square foot rectangular region in a botanical garden. She will use shrubs costing $25/foot along three sides and fencing costing $10/foot along the 4th side. find the minimum total cost.
Please help and explain with steps. Thanks!
A landscape architect plans to enclose a 3000 square foot region in a botanical garden. She will use shrubs costing $25 dollars along three sides and a fence costing $10 per foot along the fourth side. Find the minimum total cost.
yes $25 PER FOOT
Posted in Squarefoot Gardening
Tagged architect, botanical garden, Calculus, enclose, fence, foot, garden, landscape, landscape architect, optimization, optimization problem, problem, region, shrubs
A landscape architect plans to enclose a 1300 square foot rectangular region in a botanical garden. She will use shrubs costing $25 per foot along three sides and fencing costing $10 per foot along the north side.
(a) If x is the length of fencing used, write a formula for the total cost in terms of x only.
C(x) =
(b) Find the length of fence that will minimize the total cost.
x = feet
(c) Find the minimum total cost. Give your answer to the nearest penny
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Posted in Squarefoot Gardening
Tagged architect, botanical garden, Calculus, calculus problem, enclose, fencing, foot, garden, landscape, landscape architect, north, problem, rectangular region, region, shrubs
A landscape architect plans to enclose a 1500 square foot rectangular region in a botanical garden. She will use shrubs costing $25 per foot along three sides and fencing costing $10 per foot along the north side.
If x is the length of fencing used, write a formula for the total cost in terms of x only.
(b) Find the length of fence that will minimize the total cost.
x =
Posted in Squarefoot Gardening
Tagged architect, botanical garden, cost, enclose, fencing, foot, garden, landscape, landscape architect, north, rectangular region, region, shrubs, side
A landscape architect plans to enclose a 3200 square foot rectangular region in a botanical garden. She will use shrubs costing $30 per foot along three sides and fencing costing $11 per foot along the north side.
(a) cost function in terms of x:
(b) minimizing value of x:
(c) the cost of landscaping for this min value of x:
Posted in Squarefoot Gardening
Tagged architect, botanical garden, calc, enclose, fencing, foot, garden, landscape, landscape architect, north, question, rectangular region, region, shrubs
A landscape architect plans to enclose a 2600 square foot rectangular region in a botanical garden. She will use shrubs costing $25 per foot along three sides and fencing costing $10 per foot along the north side.
(a) If x is the length of fencing used, write a formula for the total cost in terms of x only.
C(x) = ?
(b) Find the length of fence that will minimize the total cost
x= ?
(c) Find the minimum total cost. Give your answer to the nearest penny.
Posted in Squarefoot Gardening
Tagged architect, botanical garden, Calculus, enclose, fencing, foot, garden, landscape, landscape architect, north, problem, rectangular region, region, shrubs
The diagram represents a rectangular garden. The shaded regions are planted in flowers, and the unshaded region is a walk
A;2 feet wide. All angles are right angles.
The sum of the areas of the shaded regions
B. 2,800 square feet
which one is bigger
?the picture is here from the link below.
http://img130.imagevenue.com/img.php?image=56568_DSC01476_122_447lo.JPG
Posted in Squarefoot Gardening
Tagged diagram, flowers, garden, Math, math problem, problem, rectangular garden, region, walk
A landscaper plans to enclose a 3000 square foot rectangular region in her botanical garden. She will use shrubs costing $25 per foot along three sides and fencing costing $10 per foot along the fourth side. Determine the minimum total cost for such a project.
Posted in Squarefoot Gardening
Tagged botanical garden, Calculus, enclose, fencing, foot, garden, landscaper, rectangular region, region, Ship, shrubs, side, trouble
