hor with a vh is made of two materials. or the hor eusts 5 dollarsand the material for Find the dimensions of the box that the sides of the boax ousts 1 dolliasr minimine the cost of the box. a)...
[15pts) A lidless cardboard box with a volume 10m e material for the bottom of the box costs 5 oat and the materia dolla2. Find the dimensions of the box that es of the imize the cost of the box. mize the cost or do Draw the picture and identify the variables. entify the objective function. Write it in terms of the variables of the method of Lagrage multipliers to find the dimensions of the box that cost of the...
QUESTION 2 p. A closed triangular box with a volume of 16 f' is made from two kinds of materials. The top and bottom are made of material costing RM 10 per square foot and the sides of material costing RM 5 per square foot. Using Second Partial Test, find the dimensions of the box so that the cost of materials is minimized. (8 marks) QUESTION 2 p. A closed triangular box with a volume of 16 f' is made...
A closed rectangular box with a volume of 1611 is made from two kinds of materials. The top and bottom are made of material conting 24 cents per square foot and the wes from material conting 12 cents per square foot. Use Lagrange multipliers to find the dimensions of the box so that the cost of materials is minimized Assume that w s1 W= 10
Question 10 A closed rectangular box with a volume of 108ft is made from two kinds of materials. The top and bottom are made of material costing 56 cents per square foot and the sides from material costing 14 cents per square foot. Use Lagrange multipliers to find the dimensions of the box so that the cost of materials is minimized. Assume that w<l. 1 = ft W = ft h= ft
Question 10 A dosed rectangular box with a volume of 1626 is made from two kinds of materials. The top and bottom are made of material costing 48 cents per square foot and the sides from material costing 8 cents per square foot. Use Lagrange multipliers to find the dimensions of the box so that the cost of materials is minimized. Assume that w s I ft ft Question Attempts of I used SAVERS LATER MapleNet
(1 point) Find the most economical dimensions of a closed rectangular box of volume 9 cubic units if the cost of the material per square unit for () the top and bottom is 7, (ii) the front and back is 3 and (ii) the other two sides is 8 Vertical edge length - Horizontal front and back edge length- Horizontal side edge length (1 point) Find the most economical dimensions of a closed rectangular box of volume 9 cubic units...
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. The length of the base is x and the height is h. Since the base is a square, the surface area of just the base would be: Area = The surface area of just one side would be: Area = The surface area of all...
12 points SulivanCakc1 4.7.010 Notes Ask Your T A closed box with a square base is to have a volume of 6000 cm3, What should the dimensions of the box be if the amount of material used is to be a minimum? (Round your answers to three decimal places.) square base side length height 30 ADV cm cm Additional Materialts u eBook 3 points SullvanCale1 4.7.012 Notes Ask Your Te A builder wishes to fence in 30,000 m2 of land...
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...
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...