Maxima and Minima Two posts, one 8 feet high and the other 12 feet high, stand 15 ft apart. They are to be supported by wires attached to a single stake at ground level. The wires running to the tops of the posts. Where should the stake be placed, to use the least amount of wire?

Q: Laying cable An island is 3.5 mi from the nearest point on a straight shoreline; that point is 8 mi…

A: Given: To Find: The point at which the underwater cable meets the shore in order to minimize the…

Q: A rectangular area is to be enclosed and divided into thirds. The family has $1120 to spend for the…

A: From the given information. The family has $1120.

Q: We're building another box! This box is to be constructed with a total volume of 80 cm but the sides…

A: According to the given information, Volume of the box = 80 cm3 Cost of top, bottom, left and right…

Q: designer is making a box in the shape of a rectangular prism. The sum of its length, width, and…

A:

Q: 12 ㅡx -21 A machine produces open boxes using square sheets of metal. The machine cuts equal-sized…

A: SOLUTION-

Q: Victory liner agrees to transport 100 people or less from station A to station B for P15 each…

A:

Q: An underground telephone cable is to be laid between two boat docks on opposite banks of a straight…

A:

Q: he air above a city may be thought of as a control volume: 1 km high and 10 km x 10 km in plan. The…

A: answer is in next step

Q: ectangular playground is to be fenced off and divided in two by another fence parallel to one side…

A: To find the dimensions of playground.

Q: Maxima and Minima Find the most economical proportions for a covered box of fixed volume whose base…

A: Let shorter side of base is 'x'.

Q: Use the method of Lagrange multipliers to solve this exercise. I want to fence in a rectangular…

A:

Q: profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of…

A:

Q: II PROBLEM SOLVING a) A box with a rectangular base is to be constructed of material costing Php…

A:

Q: A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is…

A:

Q: 57. Minimizing cost of materials. The cost C, in dollars, to build a fence around a rectangular…

A:

Q: Solve using lagrange multipliers. A Company manufactures furniture such as sofas and tables. In…

A: Let the number of sofa =x  and the number of table =y. Given that the company earns a profit of P…

Q: Kindly show illustration and solution. The highway department is planning to build a picnic park…

A: Given: Area of rectangular park is 5000 sq. yards and, Fencing is done on 3 sides of park.   To…

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A:

Q: Shipping regulations A shipping company handles rectangular boxes provided the sum of the length,…

A: A shipping company handles rectangular boxes provided the sum of the length, width, and height of…

Q: Question A farmer is constructing three equally-sized pens against the side of a barn for his…

A: We need to find max area.

Q: Fences I would like to create a rectangular vegetable patch. The fencing for the east and west sides…

A: Given :             east and west sides =  4 ft             north and south sides  =  2 ft

Q: Maximizing area. Hentz Industries plans to enclose three parallel rectangular areas for sorting…

A:

Q: A rectangular area is to be enclosed and divided into thirds. The family has $1120 to spend for the…

A:

Q: A regulation tennis court for a singles match is laid out so thar it's length is 3 ft less than…

A: The dimensions and the area of the tennis court is given below.

Q: Investments A man invests his savings in two accounts, one paying 6% and the other paying 10% simple…

A: We have, A man invests his savings in two accounts, one paying 6% and the other paying 10% simple…

Q: My orchid garden abuts my house so that the house itself forms the northern boundary. The fencing…

A:

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A:

Q: MY NOTES DETAILS A farmer wants to fence an area of 13.5 million square feet in a rectangular field…

A:

Q: Polya’s Problem-Solving Strategy Solve each problem using Polya's four-step problemsolving strategy.…

A: Polya’s problem-solving strategy is used to solve the problems. There are 4 steps involved in the…

Q: A hat and a jacket together cost 1000 pesos. The jacket cost 900 pesos more than the hat. what are…

A: The Polya's four step strategy is used to solve word problems in mathematics. The four steps are…

Q: Tickets for a concert are cheaper when purchased in quantity. The first 100 tickets are priced at…

A: let number of additional block of 100 tickets = x   total number of tickets = 100+100x Price of…

Q: A rectangular area is to be enclosed and divided into thirds. The family has $1040 to spend for the…

A: We use second derivative test to find out dimensions where area is maximum

Q: A rectangular poster is to contain 450 square meters of print. The margins at the top and bottom of…

A: For the solution of the problem follow the next steps.

Q: gerators and a stove at the old price. da stove at the reduced price. ga radio and a stove at the…

A: The posted question has multi sub parts. But according to guidelines we will solve the first three…

Q: rectangular garden will be divided into two plots fencing it on the diagonal. The diagonal distance…

A: ABCD is rectangular gardensuch that AC is diagonal, BCis width and AB is length.…

Q: wo people are mowing a lawn. One person has a riding mower, the other a push mower. The person with…

A: We can find the answer as below

Q: fllustrating the Dimensions of a Box You want to make a box to be part of your designed gadget. You…

A:

Q: The cost C (in dollars) for a company to produce and sell thousand gadgets is given by 1 C = 30 2x +…

A: If f(x) is a function. Then roots of f'(x) is called critical points and if f'(a)=0.   i)Then a is…

Q: Illustrating the Dimensions of a Box You want to make a box to be part of your designed gadget. You…

A:

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

A: In this question we have to find the length of sides and height of shed.

Q: ou wish to construct a closed rectangular box that has a volume of  32 ft3.  The length of the base…

A: Here it s given that,  The length of the base of the box will be twice as long as its width. Let the…

Q: storage shed is to be built in the shape of a box with a square base. It is to have a volume of 891…

A: Given : Volume = 891 cubic feet. Base cost = $4 per square foot Material for the roof cost = $7 per…

Q: Applications of Maxima and Minima An open rectangular box with square base is to be made from 48…

A:

Q: Hugo and Boss are upgrading the storage in their backyard. The existing storage has the shape of a…

A: The volume, V of a rectangular prism is calculated using the formula, V=l·w·h, where l, w, h are the…

Q: rectangular box having a square base and open at the op is to have a capacity of 16823 cc. find the…

A: Given volume of box =16823 So,  hx2 =16823   area of the box is S(x) =x2 +4xh  To find the minimum…

Q: Investor Dan has $670,000 to invest in bonds. Bond A yields an average of 6% and the bond B yields…

A: Given data:- Dan has invested 670,000 $in bonds The bonds A yields 6%=0.06 The given bond B yields…

Q: Illustrating the Dimensions of a Box You want to make a box to be part of your designed gadget. You…

A:

Q: Package A is a cube with a volume of 500 cubic inches. Package B is a cube with a volume of 250…

A:

Q: Shipping regulations A shipping company handles rectangular boxes provided the sum of the height and…

A: Shipping regulations A shipping company handles rectangular boxes provided the sum of the height and…

Q: You are designing a wooden box to hold apples. Specifically, you want your box to have a square…

A: Given that,