You are designing a rectangular poster to contain 75 in squared of printing with a 6in margin at the top and bottom and a 2in margin at each side. What overall dimensions minimize the amount of paper used?

Q: An open top box is to have a square base and and a volume of 13500 centimeter cube. Find the…

A: in a cube each face is square volume of cube =(side)3

Q: A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it…

A: Here we will find the lengths of sides of rectangular field to minimise cost of fence,

Q: A piece of wire 16m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: A farmer with 600 ft. of fencing wishes to construct a rectangular pasture divided into two…

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Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

A:

Q: You are designing a rectangular poster to contain 75 in of printing with a 3-in margin at the top…

A:

Q: A rancher wants to fence off a rectangular corral with an area of 4050 sq. yds next to a river. Find…

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Q: You are building five identical pens adjacent to each other with a total area of 1000 square meters…

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Q: a box with a square base and an open top must have a volume of 4000 cm^3. find the dimensions of the…

A: Let the length of each side of the base= x Height=y So

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

A: Given query is to find the sides of the box

Q: A rectangular portion of a pasture next to an irrigation canal is to be enclosed by a fence with no…

A: We have given a rectangular portion of a pasture. The area of the rectangular pasture = 87362 square…

Q: We are designing a poster to contain 120 cm2 of printing with a 4-centimeter wide margin at the top…

A: Given: We are designing a poster to contain 120 cm2 of printing with a 4-centimeter wide margin at…

Q: You are designing a rectangular poster to contain 50 in2 of printing with a 4-in. margin at the top…

A: Let 'x' be the height of the whole poster and 'y' be the width of the poster.Area = Total amount of…

Q: A rectangular storage container with a square base and an open top is to have a fixed volume of…

A:

Q: We want to construct a box whose base length is 3 times the base width. If the box must have a…

A: Minimization of surface area

Q: You are designing a rectangular poster to contain 50 in' of printing with a margin at the top and…

A:

Q: The upper right-hand corner of a piece of paper, 15 in. by 8 in., as in the figure, is folded over…

A: Concept used: If f''x>0 if and only if fx is the absolute minimum value, where f'x=0.…

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: poster is to contain 150 square inches of printed matter, surrounded by margins that are 3 inches…

A: Topic = Application of Derivative

Q: A box with a square base and open top must have a volume of 512 cubic inches. Find the dimensions of…

A: The solution is given below:

Q: Johnny is designing a rectangular poster to contain 12 inches squared of printing with a 3 inch…

A:

Q: A poster needs to have 75 square inches of printed material with margins of 5 inches at the top and…

A: Given: Area of rectangular page = 75 square inches Also, we have margins of 5 inches at the top and…

Q: A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the…

A:

Q: What are the dimensions of a closed rectangular box that has a square cross section, a capacity of…

A: Given, volume of rectangular box is 115 cube inches.

Q: We have 36ft2 of material to build a box of maximum volume with a square base and no top. What is…

A: To find the dimension of the square base for the optimum volume

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

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Q: Suppose you are given a piece of paper which is 9 in. x 11 in. and your goal is to make the piece of…

A: Second derivative test: 1) If f'(x)=0 then x is said to be a critical point. 2) At a critical point…

Q: You are designing a rectangular poster to contain 50 square inches of printing with a 4-inch margin…

A: Let's length is x and width is y of the paper which to be painted. Now  form the equation and…

Q: A builder intends to construct a storage shed having a volume of 900 cubic feet, and flat roof, and…

A:

Q: Suppose you are designing a rectangular room with a fixed perimeter of 60 ft, use the method of…

A: Consider the equation

Q: Three equally sized corrals are constructed next to a river. if the area to be enclosed is 19600…

A: Use concept of minimizing of fencing

Q: A piece of wire 14 m long is cut into two pieces. One piece is bent into a square and the other is…

A: the total length of a wire is 14m  let the length of a square be x m so, the length of a circle will…

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 13,500 cm3. Find the dimensions of the…

A: Topic = Volume

Q: You are designing a rectangular poster to contain 50 in2 of printing with a 4 in. margin at the top…

A: Given A rectangular poster to contain 50 in2 of printing with a 4 in. margin at the top and bottom…

Q: We are designing a poster to contain 250 cm2 of printing with a 1-centimeter wide margin at the top…

A: Given Designing a poster to ccotain =250 cm2wide margin at the top and bottom =1 cmand wide margin…

Q: What are the dimensions of a closed recrangular box that has a square cross section a capacity of…

A: Given that the dimensions of a closed rectangular box that has a square cross sections a capacity of…

Q: A box with a square base and open top must have a volume of 32,000cm3 . Find the dimensions of the…

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Q: You are designing a rectangular poster to contain 50in? of printing with a 4 inch margin at the top…

A: Given :-  Area of printing of poster is 50 in2 with 4 inch margin at the top and bottom and 2 inch…

Q: Mr. Sample wants you to draw a picture on a piece of paper with 2 inch margins and 1 inch margins on…

A: The objective is to find the length and width of paper.

Q: You have been asked to design a 1L oil can shaped like a right circular cylinder with open top. What…

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Q: YOu are designing a rectangular poster to contain 50in^2 of printing with a 2 in margin at the top…

A: >> Let 'x' be the height of the whole poster and 'y' be the width of the poster >> Now,…

Q: A box with a square base and open top must have a volume of 32,000cm³. Find the dimensions of the…

A:

Q: A box with a square base and open top must have a volume of 186624 cm. We wish to find the…

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Q: A cardboard box without a lid must have a volume of 4m³. - Determine the dimensions that minimize…

A:

Q: The upper right-hand corner of a piece of paper, 12 in. by 8 in., as in the figure, is folded over…

A:

Q: A company wants to come up with a package box that has a square base a volume of 125 cubic ft. What…

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