A closed rectangular box with a volume of 16 ft 3 is made from two kinds of materials. The top and bottom are made of material costing 10 ϕ per square foot and the sides from material costing 5 ϕ per square foot. Find the dimensions of the box so that the cost of materials is minimized.
A closed rectangular box with a volume of 16 ft 3 is made from two kinds of materials. The top and bottom are made of material costing 10 ϕ per square foot and the sides from material costing 5 ϕ per square foot. Find the dimensions of the box so that the cost of materials is minimized.
A closed rectangular box with a volume of
16
ft
3
is made from two kinds of materials. The top and bottom are made of material costing
10
ϕ
per square foot and the sides from material costing
5
ϕ
per square foot. Find the dimensions of the box so that the cost of materials is minimized.
A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $40/ft and on the other three sides by a metal fence costing $10/ft. If the area of the garden is 128 square feet, find the dimensions of the garden that minimize the cost.
Length of side with bricks ?=Length of adjacent side ?=
A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three sides by a metal fence costing $10/ft. If the area of the garden is 88 square feet, find the dimensions of the garden that minimize the cost.
Length of side with bricks x =Length of adjacent side y=
A fence must be built to enclose a rectangular field with an area of 200 square meters. If the cost of materials for one pair of parallel sides is $3.00 per meter while the cost for the other pair of parallel sides is $8.00 per meter, calculate the dimensions of the field so that the cost to build the fence would be minimized.
Chapter 13 Solutions
Calculus Early Transcendentals, Binder Ready Version
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.