8. (10pts) A rectangular filed is to be enclosed with a fence. One side of the...
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 Candy box is made from a piece of cardboard that meaasures 11 by 7 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume?
A rectangular field is to be enclosed by a fence. Two fences parallel to one side of the field divide the field into three rectangular fields. If 2400m of fence are available find the dimensions giving the max area.
A rectangular field is to be enclosed on four sides with a fence. Fencing costs $5 per foot for two opposite sides, and $7 per foot for the other two sides. Find the dimensions of the field of area 870 ft2 that would be the cheapest to enclose. OA) 24.9 ft @ $5 by 34.9 ft @ $7 B) 41.3 ft @ $5 by 21.1 ft @ $7 21.1 ft @ $5 by 41.3 ft @ $7 OD) 34.9 ft...
A fence is to be built to enclose a rectangular area of 230 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
An open box is made from a square piece of cardboard 20 inches on a side by cutting identical squares from the corners and turning up the sides.(a) Express the volume of the box, V , as a function of the length of the side of the square cut from each corner, x. (b) Find and interpret V (1),V (2),V (3),V (4), and V (5). What is happening to the volume of the box as the length of the side...
in urgent need with help on these three What point on the line y-7x + 8 is closest to the origin? Let D be the distance between the two points. What is the objective function in terms of the x-coordinate? (Type an expression.) a. Find the radius and height of a cylindrical soda can with a volume of 398 cm3 that minimize the surface area. b. Compare your answer in part (a) to a real soda can, which has a...
The Box Problem Take an 8% x 11 sheet of paper and cut out 4 congruent squares (one from each corner) as shown below on the left. This creates a net for an open-topped box (rectangular prism) which can be folded up as shown on the right. We're going to use our box to carry as many M & M's as possible. If the side-length of each cut-out square is 1 inch, then the box created will have dimensions 1...
A rectangular plot of land is to be enclosed by fencing. One side is along a river and so needs no fence. If the total fencing available is 1400 meters, find the dimensions of the plot to have the maximum area. (Assume that the length is greater than or equal to the width.) Length = ? meters Width = ? meters
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