Use Lagrange multipliers to solve the following exercise. A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 3093.75 cubic ft. The cost of wall paint is $0.06 per square foot and the cost of ceiling paint is $0.11 per square foot. Find the room dimensions that result in a minimum cost for the paint. length ft width ft height ft

Q: 2 You conduct a survey to find the type of bottle that will be more popular. Your facility can…

A: The popularity of each bottle depends on the number of people are interested in the bottle.

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

A:

Q: Adian saw iequires o fiouiS of assembly and a wood chipper 5 nours A maximum of 60 nours of assembly…

A: We will find the number of assemble chain saws and wood chipper to attain maximum profit as shown…

Q: Ella is building a chicken coop. The area of the chicken coop is 40 square feet. Each chicken needs…

A:

Q: You are building a rectangular pen for your dog Fido. You can afford 36 yards of fencing and want to…

A: This question is based on application of derivative.

Q: delivery person uses a service elevator to bring boxes of books up to an office. The delivery person…

A: Person weight= 160 lb

Q: 6. Joy want of wrap a rectangular gift box. She wants to know the minimum area of the Wrapping paper…

A: The surface area of a rectangular box is dependent upon its length, width and height . The surface…

Q: A city park commission received a donation of playground equipment from a parents' organization. The…

A:

Q: A printer has a contract to print 100,000 posters for a political candidate. He can run the posters…

A: Definition used – Maxima and minima using derivatives – By equating the first derivative to 0, we…

Q: Bruce's Material Company hauls gravel to a construction site, using a small truck and a large truck.…

A:

Q: Bind the standard metis of the linsar trensformition.

A: If T is a linear transformation from to , then the standard matrix corresponding to T is the matrix…

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A: Hint: Sum up the cost in second column and 4th column, then subtract to obtain the required cost.

Q: Use the method of Lagrange multipliers to solve this exercise. Hercules Films is also deciding on…

A: Let p denotes the selling price per copy in dollars. Then, the selling price of q copies is $pq. The…

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

A:

Q: Use the method of Lagrange multipliers to solve this exercise. Hercules Films is deciding on the…

A: Total number of copies they want to sell is q=408000−12000p where, p is the price of one copy in…

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

A:

Q: A farmer has 20 yards of fencing to build a pen for her chickens. She decides to use a side of her…

A: A farmer has 20 yards of fencing to build a pen for her chickens. She decides to use a side of her…

Q: PLEASE Answer using Simplex Method.   A dietician has learned from a nutrition book that his…

A: Let us consider that, x1= quantity of meat. x2= quantity of vegetable. So, according to problem…

Q: nadines monthy expenses are $2,500. If she earns $2,250 per month plus 2% of her monthly sales. What…

A: Let's assume that, x is the minimum amount nadines is able to sell in a month. Now we need to find…

Q: A car rental agency rents 210 cars per day at a rate of 27 dollars per day. For each 1 dollar…

A:

Q: Hercules Films is also deciding on the price of the video release of its film Bride of the Son of…

A: Given that at a price of p dollars, sell and costs of each copy is  q=544000-17000p, c=$4

Q: 5a.  Juan pays 8.75 euros (EUR) for a single movie ticket. The total amount Juan pays for movie…

A: Relationship between total amount and number of movie tickets purchased is given in the problem. We…

Q: A farmer plans to fence in a rectangular pasture adjacent to a river (see figure below). The pasture…

A:

Q: jane corporation produces model toy cars. each sells for $23.31. its variable cost per unit is…

A: Given that  jane corporation produces model toy cars. each sells for $23.31. its variable cost per…

Q: A new community center just opened up and they are in the process of deciding what the maximum…

A: Given that the community center  has dimensions 60 ft×25 ft, and each person in the community can…

Q: A farmer has 20 yards of fencing to build a pen for her chickens. She decides to use a side of her…

A:

Q: storage shed is to be built in the shape of a box with a square base. It is to have a volume of 637…

A:

Q: A rectangular poster is to contain 648 square inches of paint. The margins at the top and bottom of…

A:

Q: Wally and Mike install swimming pools in the summer in a town. They are building a swimming pool…

A: (a) Obtain the amount of fencing needed as follows.

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

A:

Q: A rectangular garden has an area 77 square feet. The length of the garden is three feet more than…

A:

Q: A builder wants to build a bridge whose cross section is shown in the diagram. Two companies offer…

A:

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: Kali has decided to build a dog house for Gus. The dog house is a box with four sides and a top, but…

A:

Q: A It is 2 P.M. and Phong is driving 45 miles per hour to get to his sister's college graduation. The…

A:

Q: Tina's Material Company hauls gravel to a construction site, using a small truck and a large truck.…

A: Given,   Small truck Large truck Capacity (yd3) 30 50 Cost per load $89 $44 Tina must…

Q: The cost C (in dollars) for a company to produce and sell æ thousand gadgets is given by 1 C = -a? –…

A: Solved below.

Q: Joe works no more than 20 hours a week during the school year. He is paid $10 an hour for tutoring…

A: This question is based on finding maximum in a given constrains

Q: 7. The specifications for a storage container state that the length is 1 metre more than triple the…

A: Given,Let width of storage container be 'x' metrelength of storage container =3x+1 metreheight  of…

Q: 5x +9 On part of the farm, there are cows surounded by bushes and green grass for cows to eat. Lacey…

A: To find the perimeter and area of this Field

Q: A cargo container (in the shape of a rectangular solid) must have a volume of 520 cubic feet. The…

A: Given: A cargo Container ( in the shape of a rectangle solid) has a volume of 520 cubic feet. The…

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: 2) Organisers of an outdoor music festival want to enclose a rectangular dining area against a large…

A: To determine the length and width.

Q: Martin Company has a current breakeven point of 47,000 units. To reduce the breakeven point, Martin…

A: A break-even point is reached when the total cost becomes equal to total revenue. This means that at…

Q: A packaging firm has been hired to create a box for baby blocks. The firm was hired so they could…

A: Determine the surface area for the dimension. (a) 1 cm×1 cm×18 cm S. A.=21 cm×1 cm+1 cm×18 cm+18…

Q: A document is to contain 80 square centimetres of print. The margins at the top in bottom of the…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Josh practices free throws during basketball practice on Monday and Tuesday. On Monday, he attempts…

A:

Q: Use the following scenario to complete the remaining exercises below. A firm manufactures four types…

A: A mathematical statement, which states that two expressions are not equal is called an inequation…

Q: Work out. Teagan went to gamer realm to buy new video games. Gamer realm was having a sale: $65 for…

A: Gamer realm was having a sale: $65 for 4 video games. Teagan bought 3 games for himself and one game…