a) A box with an open top and a square bottom must have a volume of 32 cm3. Find the dimensions of the box that minimize the amount of material used.

Q: A closed rectangular box with a square base is constructed using two different materials. The…

A: Consider the rectangular box with square base of sides x and height y. Here, the objective is to…

Q: A rectangular corral of 160 square meters is to be fenced off and then divided by a fence into two…

A: Let ,  Length of fence that divides the two corrals = a Length of a side oc the fence perpendicular…

Q: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

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Q: A rectangular box is constructed where the base length is 3 times the base width. The material used…

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Q: Find the minimum cost of a rectangular box of volume 140 cm³ whose top and bottom cost 2 cents per…

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Q: A box with a square base and open top must have a volume of 55296 cm. We wish to find the dimensions…

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Q: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A:

Q: A box with a square base with side length b and height h and with an open top must have a volume of…

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Q: The rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

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Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A: Let x be the width of the plot and y be the length of the plot. The fencing costs $16 per linear…

Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will…

A: Given- The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular…

Q: A rectangular box, with a top, is to hold 30 cubic metres. The material used to make the top and…

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Q: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the…

A: To find the dimensions that minimize area

Q: Find the minimum cost of a rectangular box of volume 180 cm3 whose top and bottom cost 8 cents per…

A: Cost can be minimised by finding out the partial derivatives

Q: company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom and…

A:

Q: A Farmer Wants To Enclose A Rectangular Area Along A Highway. The Fencing Along The Highway Will Be…

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Q: A farmer wishes to enclose a rectangular field. Three of sides will be visible from the street, so…

A: A farmer wishes to enclose a rectangular field. Three of sides will be visible from the street, so…

Q: A company wants to setup a rectangular aquarium tank at the main entrance to attract customers. The…

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Q: A page is to contain 54 sq cm. of printed material. If the margins are lcm at the top and bottom and…

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Q: 2. : :: A rectangular lot is bounded at the back by a river. No fence is needed along the river and…

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Q: (2) A rancher wants to construct a rectangular pen by extending an existing 100 ft stone wall by an…

A: Let the length along the stone wall be x. And take the width to be y. Then the length of fencing…

Q: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area…

A: 5. Notice that the dimensions of the poster are: Length = x +16, Width = y +24 Area of the Printed…

Q: A rectangular warehouse is to have 48,660.48 square feet of floor area and is to be divided into two…

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Q: A Box with a Square base and an open Top must have a volume of 500 cm'. Find the dimensions of the…

A: A box with a square base and an open top must have a volume of 500 cm. To find: The dimensions of…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given  Total length of the fence=2500 m Letl=length of the plotb=width of the plot

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given length of wire is 700 m. rectangular plot's three sides are bounded by electric fence.

Q: 2. During the planning of a birthday party, it is decided that the souvenir will be enclosed in a 80…

A: We will find cost function in terms of a single variable and then minimize it  For relative maximum…

Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will…

A: Given- The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular…

Q: A page is to contain 30 square centimeters of print. The top and the bottom margins are 1.5 cm and 1…

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Q: Suppose a farmer wants to fence off a rectangular field alongside a river with a total area of 15,…

A: Given, Area= 15000m2 we draw a diagram according to the question we have to find the dimension of…

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A:

Q: A farmer wants to build a rectangular pen and then divide it with two interior fences. The total…

A: Given query is to find the minimum cost dimensions for pen.

Q: A box with a square base and open top must have a volume of 42592 cm. We wish to find the dimensions…

A: Let the height of the box is h and the base of the box is square of length x. so the volume of the…

Q: A box with a square base and open top must have a volume of 32000 cm³. Find the dimensions of the…

A: To find the dimensions of the box that minimize the amount of material used to construct it.

Q: A supermarket is designed to have a rectangular floor area of 3750 m² with 3 walls made of cement…

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Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: i) Given that, the length of the pool is 12 meters and 8 meters wide, the are of the pool should be…

Q: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the…

A: Consider a box with square base and open Top and have a volume of 4000 cubic centimeters. Let the…

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: Topic = Volume

Q: $24 is available to make a rectangular storage container with a square base and open top. If the…

A: We use second derivative test to find out dimensions of container where volume is largest

Q: landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

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Q: ndscape architect wished to enclose a rectangular garden on one side by a brick wall costing $40/ft…

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Q: 11. A box to be build whose base length is 6 times the base width, and the box will be enclosed 20…

A: Given that the base length is the 6 times the base width. Let base width=w Then base length=6w And…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Let a and b be the sides of a retangular fence.

Q: A rectangular lot is bounded at the back by a river. No fence is needed along the river and there is…

A:

Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A:

Q: a landscape architect is designing a rectangular flowerbed to be border with 28 plants that are…

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Q: A cable is to be run from a power plant on one side of a river 180 meters wide to a factory on the…

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Q: A rectangular storage container with an opentop is to have a volume of 10 m. The length of its base…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A box with a volume of 8 m3 is to be constructed with a gold-platedtop, silver-plated bottom, and…

A: Given: Volume of the cube is V=8m3. Cost of gold plating Cg=$120 per square meter. Cost of Silver…