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You are planning to make an open rectangular box from a 40-in.-by-79-in. piece of cardboard by...
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides. Find the length of the side of the cut-out square so that the box has the largest possible volume. Also, find the volume of the box
A company is going to make open-topped boxes out of 15 14-inch rectangles of cardboard by cutting...
A company is going to make open-topped boxes out of 15 14-inch rectangles of cardboard by cutting squares out of the corners, shown blue in the left figure, and folding up the sides. The finished box is the right picture. What is the largest volume box the company can make this way? (Round your answer to one decimal place.) in3
A company is going to make open-topped boxes out of 15 14-inch rectangles of cardboard by cutting squares out of...
A square piece of cardboard is formed into a box by cutting out 3-inch squares from...
A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides, as shown in the following figure. If the volume of the box needs to be 216.75 cubic inches, what size square piece of cardboard is needed? (Round your answers to one decimal place.)
A graphing calculator is recommended. A box with an open top is to be constructed from...
A graphing calculator is recommended. A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 30 in. by cutting out equal squares of side x at each corner and then folding up the sides (see the figure). 30 in. х x х 14 in. х х х х (a) Find a function that models the volume V of the box. V(x) (b) Find the values...
17-1 A lidless, rectangular box is to be manufac- tured from 30- by 40-inch cardboard stock sheets by cutting squares f...
17-1 A lidless, rectangular box is to be manufac- tured from 30- by 40-inch cardboard stock sheets by cutting squares from the four corners, folding siz 17- pro eve up ends and sides, and joining with heavy tape. The designer wishes to choose box dimensions the set that maximize volume. est (a) Formulate this design problem as a con- strained NLP. (b) Use class optimization software to start from a feasible solution and compute at least a local optimum
17-1...
A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides, as shown in the following figure
A square piece of cardboard is formed into a box by cutting out 3-inch squares from each of the corners and folding up the sides, as shown in the following figure. If the volume of the box needs to be 126.75 cubic inches, what size square piece of cardboard is needed?
4. A rancher with 300 ft of fence intends to enclose a rectangular corral, dividing it in half by...
4. A rancher with 300 ft of fence intends to enclose a rectangular corral, dividing it in half by a fence 5. A rectangular garden of area 75 ft2 is bounded on three sides by a wall costing $8 per ft and on the 6. An open box is made from a 16 x 16 cm piece of cardboard by cutting equal squares from each corner parallel to the short sides of the corral. How much area can be enclosed?...
A box with a lid is to be made from a rectangular piece of cardboard measuring 24 cm by 72 cm. Two equal squares of sid...
A box with a lid is to be made from a rectangular piece of cardboard measuring 24 cm by 72 cm. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the volume of the box is a maximum. Lid 24 cm 72 cm Type an integer...
A piece of cardboard is 2.7 times as long as it is wide. It is to...
A piece of cardboard is 2.7 times as long as it is wide. It is to be made into a box with an open top by cutting 2-inch squares from each comer and folding up the sides, Let x represent the width (in inches) of the original piece of cardboard. Answer the following questions. or Su a) Represent the length of the original piece of cardboard in terms of x Length =□in. (Use integers or decimals for any numbers in...
To create an open-top box out of a sheet of cardboard that is 6 inches long...
To create an open-top box out of a sheet of cardboard that is 6 inches long and 5 inches wide, you make a square flap of side length x inches in each corner by cutting along one of the flap's sides and folding along the other. Once you fold up the four sides of the box, you glue each flap to the side it overlaps. To the nearest tenth, find the value of x that maximizes the volume of the...
A company is going to make open-topped boxes out of 15 14-inch rectangles of cardboard by cutting squares out of the corners, shown blue in the left figure, and folding up the sides. The finished box is the right picture. What is the largest volume box the company can make this way? (Round your answer to one decimal place.) in3
A company is going to make open-topped boxes out of 15 14-inch rectangles of cardboard by cutting squares out of...
A graphing calculator is recommended. A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 30 in. by cutting out equal squares of side x at each corner and then folding up the sides (see the figure). 30 in. х x х 14 in. х х х х (a) Find a function that models the volume V of the box. V(x) (b) Find the values...
17-1 A lidless, rectangular box is to be manufac- tured from 30- by 40-inch cardboard stock sheets by cutting squares from the four corners, folding siz 17- pro eve up ends and sides, and joining with heavy tape. The designer wishes to choose box dimensions the set that maximize volume. est (a) Formulate this design problem as a con- strained NLP. (b) Use class optimization software to start from a feasible solution and compute at least a local optimum
17-1...
4. A rancher with 300 ft of fence intends to enclose a rectangular corral, dividing it in half by a fence 5. A rectangular garden of area 75 ft2 is bounded on three sides by a wall costing $8 per ft and on the 6. An open box is made from a 16 x 16 cm piece of cardboard by cutting equal squares from each corner parallel to the short sides of the corral. How much area can be enclosed?...
A box with a lid is to be made from a rectangular piece of cardboard measuring 24 cm by 72 cm. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the volume of the box is a maximum. Lid 24 cm 72 cm Type an integer...
A piece of cardboard is 2.7 times as long as it is wide. It is to be made into a box with an open top by cutting 2-inch squares from each comer and folding up the sides, Let x represent the width (in inches) of the original piece of cardboard. Answer the following questions. or Su a) Represent the length of the original piece of cardboard in terms of x Length =□in. (Use integers or decimals for any numbers in...
To create an open-top box out of a sheet of cardboard that is 6 inches long and 5 inches wide, you make a square flap of side length x inches in each corner by cutting along one of the flap's sides and folding along the other. Once you fold up the four sides of the box, you glue each flap to the side it overlaps. To the nearest tenth, find the value of x that maximizes the volume of the...
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