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A company is constructing an open-top, square based, rectangular metal tank that will have a volume...
19. Minimizing surface area. Mendoza Soup Company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 32 ft. What dimensions will minimize surface area? What is the minimum surface area?
A rectangular tank with a square base, an open top, and a volume of 6912 n° is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. The dimensions of the tank with minimum surface area aren. (Simplify your answer. Use a comma to separate answers.)
A rectangular tank with a square base, an open top, and a volume of 864 n is to be constructed of sheet stoel. Find the dimensions of the tank that has the minimum surface area, Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the primary equation in terms of A-O (Type an expression.) The domain of the primary equation is (Simplify your answer. Type...
A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed of sheet steel Find the dimensions of the tank that has the minimum surface area n& Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective tunction A- Type an expression.) The interval of interest of the objective function is tiond (Simplity your...
A rectangular tank with a square base and no top is to have a volume of 10 m3 . Material for the bottom of the tank costs $15/m2 and material for the sides costs $6/m2 a. Find the dimensions of the cheapest such tank that can be constructed. b. How much would the tank in part a. cost to build?
A rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimensions of the box that will minimize the cost of the box if the material of the bottom costs 16 cents per square inch, and the material of the sides costs 1 cent per square inch.
A rectangular box, open at the top, is to have a volume of 1,728 cubic inches. Find the dimensions of the box that will minimize the...
3) You are constructing a 12 cubic feet box that is open at the top. The material used to construct the bottom costs $3 per square foot and the material used to construct the sides is $1 per square foot. What dimensions should you use to minimize the cost of the materials? Set up and solve using the LaGrange method.
MathCad on block solve
3. A square bottomed, open-top tank is to be made from a sheet of metal by bending and welding. The specifications are that the volume is to be 15.0 f using the minimum sheet area. Define the volume and surface area as functions of a and b. Find the dimensions a and b in inches and display your answer as whole numbers. Als, calculate the surface area and verify the volume using your found values of...
A trash company is designing an open-top, rectangular container that will have a volume of 1715 ft. The cost of making the bottom of the container is $5 per square foot, and the cost of the sides is $4 per square foot. Find the dimensions of the container that will minimize total cost. LxWxH=ftxfxft
A trash company is designing an open-top, rectangular container that will have a volume of 320 ft cubed. The cost of making the bottom of the container is $5 per square foot, and the cost of the sides is $4 per square foot. Find the dimensions of the container that will minimize total cost. Find LxWxH.