Find the length L and width W (with W less than or equal to L) of the rectangle with area of 198 square inches that has minimum perimeter, and then find the minimum perimeter. L = W = Minimum perimeter =

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A: Given that volume =4000cm3 find the dimensions of the box that minimize the amount of material used…

Q: The cost C for ordering and storing x units is C = 7x + 200,000/x. What order size will produce a…

A: Differentiate w.r.t to x

Q: Suppose there is a rectangle with length L and width W (W < L) (in inches that has an area of 324…

A: The area of rectangle is given by A=length×width and perimeter is given by P=2Length+width.

Q: We want to construct a box whose base length is three times the base width. The material used to…

A: Solution : We given the volume of the box v = 50 ft2 Cost of material used to build top and bottom…

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A: Let's find dimension for minimum cost of given rectangular box.

Q: Find the length L and width W (with W < L) of the rectangle with area 324 square inches that has…

A: We know that, Area of rectangle=length·width                 ⋯⋯1   Perimeter of…

Q: Find the minimum distance from the point to the plane x - y + z = 6. (Hint: To simplify the…

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Q: 1) The volume of an open box with a square base is 4,000 cu.cm. Find the dimensions of the box if…

A: First the base is given as square so assume that the sides of the square base is x then the width…

Q: A company sells chocolate in rectangular boxes whose volume is 120cm^3. For display purposes, the…

A: Given that the volume of rectangular boxes is 120cm . Then length of the box is three times the…

Q: Find the length L and W (with W(less than or equal to) L) of the rectangle with perimeter 48 that…

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Q: A company is manufacturing a trash can with a volume of 4 cubic ft that has a cylindrical body and a…

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Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

A: Easy to handle two variables rather than three variables, so i substitute by a variables by other…

Q: Find the minimum distance from the point to the plane x – y + z = 12. (Hint: To simplify the…

A: According to bartleby guidelines when student ask more than one question the expert should answer…

Q: A rectangular tank with a square base, an open top, and a volume of 5324 ft is to be constructed of…

A: Given: Rectangular tank with square base (open at the top) Volume is 5324 cubic feet. To find: The…

Q: A worker is to construct an open rectangular box with a square base and a volume of 147 ft3. If…

A: Let x be the length and width, and y be the height of the rectangle box with square base.Therefore,…

Q: A rectangle is bounded by the x-axis and the semi-circle y = √(36 − x^2). What length and width…

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Q: Find the minimum distance from the point to the plane x - y + z = 9. (Hint: To simplify the…

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Q: Find the minimum distance from the parabola y=x^2 to point (0, 3)

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Q: Find the minimum distance from the point to the plane x - y + z = 6. (Hint: To simplify the…

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Q: A tube of lip balm has a height of 2.75 inches and a diameter of 0.75inches.  a. if the cap on the…

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Q: A cardboard box without a lid is to have a volume of 32,000 cm3 . Find the dimensions that minimize…

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Q: Find the local minimum value of f(æ, y) = 4+17 +y17 – 17ry.

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Q: Suppose there is a rectangle with length L and width W (W < L) (in inches) that has an area of 324…

A: Given: Area = 324 sq.in             L x W=324             L=324W Perimeter P=2(L+W)     Substituting…

Q: A rectangular box is designed to have a square base and an open top. The volume is to be 4000 in.…

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Q: Find the minimum distance from the point to the plane x - y + z = 5. (Hint: To simplify the…

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Q: The minimum distance is

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Q: A cardboard box without a lid is to have a volume of 32,000 cubic centimeters. Find the dimensions…

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Q: Suppose we find x =2 and y = 6 to be the proposed dimensions of a rectangle that minimize its area.…

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Q: Find the largest possible area of an isosceles triangle with two vertices in the curve y=4-x^2 and…

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Q: Find the length and width of a rectangle that has an area of 75 square feet and a minimum perimeter.…

A: We have to find length and width of the rectangle.

Q: A rectangular tank with a square​ base, an open​ top, and a volume of 37,044 ft3 is to be…

A: Given,Volume of the rectangular tank = 37044 ft3

Q: A zoo supplier is building a glass-walled terrarium whose interior volume is to be 25.6 ft. Material…

A: The Lagrange multiplier method is a very convenient method in extremizing a multivariable function…

Q: Find the altitude of a rectangular close box with volume 100 with length twice the width so that the…

A: We can find the altitude of the box by using the second derivative test.

Q: A homeowner wants to build, along her driveway, a garden surrounded by a fence.   If the garden is…

A: Let the length (in feet) of the garden along the driveway and perpendicular to driveway be x and y…

Q: For y> 0, find the minimum value of + 10 +5y2 5 y2

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Q: Find the length and width of a rectangle that has an area of A square centimeters and a minimum…

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Q: A rectangular tank with a square base, an open top, and a volume of 8788 ft 3 is to be constructed…

A: A rectangular tank has square base Let x be the base of the tank  and y be the height  x is the…

Q: Suppose there is a rectangle with length L and width W (W<_L) (in inches) that has an area of 169…

A: Since, we know that Area=Length×Breadthand Perimeter=2(Length+Breadth)Here Length=L and…

Q: Define the livable space of a building to be the volume of space in the building where a person 6…

A: As given that height of the rectangular box= 6 ft. (according to the height of person) Length of the…

Q: (b) A vacuum flask for keeping water hot is modelled as closed cylinder in which the internal radius…

A: Volume for a closed cylinder = πr2h In our case, πr2h = 1000 The total internal surface area of the…

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Q: Let R be a rectangle with sides measuring x > 0 and y > 0 and perimeter equal to 14. What is the…

A: x = length of rectangle R ; x&gt;0y = width of rectangle R; y&gt;0A = Area of RA = xy…

Q: a rectangular tank that is 864 ft cubed with a square base and open top is to be constructed of…

A: Let the measure of side of square base of tank  is x ft and height of tank is y ft and volume of…

Q: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

Q: A triangular prism has a base which is an isosceles right triangle. If the volume of the prism is…

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Q: Find the length L and width W (with W < L) of the rectangle with perimeter 72 that has maximum ar L…

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Q: A rectangular field is to have an area of 900 sq. m. This is to be enclosed and divided into three…

A: Let's find.

Q: A rectangular tank that is 1372 ft° with a square base and open top is to be constructed of sheet…

A: The tank with minimum weight is the one with minimum surface area. Since the base is square, its…

Q: A cardboard box without a lid is to have a volume of 32,000 cm^3. Find the dimensions that minimize…

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