A metal wire, 40 cm long, is cut in two and each piece bent to form a square. If the sum of their areas is 58 cm^2, who long is each piece of wire?

A metal wire, 40 cm long, is cut in two and each piece bent to form a square. If the sum of their areas is 58 cm^2, who long is each piece of wire?

An open rectangular box is to be made from a 9X12 piece of tin by cutting squares of side x from the corners and folding up the sides. What should X be to maximize the volume of the box?

A 384 square meter plot of land ts to be enclosed by a fence and divided into two equal parts by another fence parallel to one pair sides. What dimensions of the outer rectangle will minimize the...

Two sides of a triangle have lengths a and b and the angle between them is angle theta. What value of angle theta will maximize the triangle's area? Use the formula A=1/2absintheta.

lite manufactures two types of light: type A is a solar-powered light; type B requires batteries. In one day, the company can make at most 55 of type A and 65 of type B. Type A requires 4 hours to...

Given two numbers with a difference of 14, find the minimum for the sum of 4 times the larger number and the square of the smaller number.

The following model represents an optimization problem. Determine the maximum solution. What is the Optimization model: Restrictions: x, y is an element of real numbers Constraints: x≥0 y≥0 x+2y≤6 2x-y<3 Objective...

A cylinder with open top with radius r and height h has surface area 8 cm^2 . Find the largest possible volume of such a cylinder?

a rectangular field with a partition is to be enclosed with a fence against an existing wall, so that no fence is needed on that side. The material for the fence cost $3/ft. for the two end sides...

Design a fuel tank that will hold 300 liters of fuel. The shape must be a cylindrical tube with two rounded ends. The side wall (cylinder part) costs $.10 per cm^2 to make while the rounded tops cost...

I am asked to design a fuel tank for a fighter jet that will hold 300 liters of jet fuel. The shape of the tube is a cylinder with two hemispheres attached to each end. The side wall (the cylinder...

a rectangular field of 1350 ft^2 is to be enclosed with a fence against an existing wall, so that no fence is needed on that side. The material for the fence cost $3/ft. for the two end sides perpendicular...

find two numbers whose sum is 20, if the product of one by the cube of the other is to be a maximum?

I need the answer later pls

Upper whitlock gaming makes video games for teens. The two most popular games are the I Dig game and the vista cruiser game.The company knows from past experience that they sell at most twice as many...

I am asked to design a fuel tank for a fighter jet that will hold 300 liters of jet fuel. The shape of the tube is a cylinder with two hemisphere attached to the end. The side wall (the cylinder part)...

Two corridors 3m and 4m wide meet at right angles. Find the length of the shortest thin straight road that can pass horizontally around the corner.

What is the minimum number of feet of fencing needed to create a rectangular garden with an area of 576ft? I keep getting 144 as my answer but my friend says it wrong.. Please help...

NRG is a supplier of energy supplements to athletes, determines that its price function is approx p(x)=60-1/2x where x is the number of boxes of supplements will be sold per day and p is the price...

so I am asked to maximize l*w*h = 2w^2*h l*w +2w*h+2lh=600 I solved for h in terms of w 2w*w+2wh+2*2wh=600 2wh+4wh=600-2w^2 h(6w)=600-2w^2 h=(600-2w^2)/(6w) I...

You have bought a painting at an art auction. You paid £A for it. The market price P will increase in the future at the rate of e√k from the price you paid, £A, and where k is...