Cost in redecorating an office, the cost for new carpeting is $5 per square foot and the cost of walpapering a wall is $3 per souare foot. Find the dimensions of the largest office that can be redecorated for $2.160 (see figure). Hint Maximize V subject te Sy fy 2,160.)

Q: The cost per unit C, in dollars, of producing xx off-road 4x4 ATV at a local manufacturing plant is…

A: C=2x2-744x+71982 Comparing with C=ax2+bx+c, we get a=2,  b=-744  &  c=71982 a). Minimum value…

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: Solve the problem. You have 96 feet of fencing to enclose a rectangular plot that borders on a…

A: Let the length of the rectangular plot be: x Width of the plot be:  y Total fencing is: 96 ft

Q: tangular bird sanctuary is being created with one side along a straight riverbank. The remaining…

A: Topic:- application of derivatives

Q: Asporting goods store sells 150 pool tables per year. It costs $8 to store one pool table for a…

A: Given : A sports goods store sells 150 pool tables per year. it costs $8 to store one pool table for…

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: Maximize P=3x1+5x2+2x3   Subject to: 3x1+4x2+5x3≤10 x1+3x2+10x3≤5 x1−2x2≤1 x1,x2,x3≥0   and give…

A:

Q: A rectangular play area is to be fenced using the one side of the school and arranged in to 5…

A: The double derivative test is used to optimize (maximize or minimize) a function. Follow the steps…

Q: Johnny is designing a rectangular poster to contain 84 cm of printing with a 7-cm margin at the top…

A:

Q: 6) A rancher has 400 feet of fence for constructing rectangular corrals. See the diagram. One side…

A:

Q: Cost In redecorating an office, the cost for new carpeting is $3 per square foot and the cost of…

A: It is given that, the cost of carpeting is $3 per square foot and the cost of wallpapering is $4 per…

Q: 21 A lime agua fresce is 8% juice. A cherry agua fresca is 28% juice. How much of each should be…

A:

Q: A track and field playing area is in the shape of a rectangle with semicircles at each end. See the…

A:

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

A:

Q: Farmer Ed has 900 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A:

Q: An individual’s labor earnings (W) is given by W=−2E2+78E-2X2+66X−2EX where E represents the…

A:

Q: Another pen problem A rancher is building a horse pen on the corner of her property using 1000 ft of…

A: Diagram :…

Q: Symone drew a net of the Great Pyramid in Egypt. Using the dimensions shown on the net, Symone wants…

A: Given figure is : Amount cardboard required to create model.

Q: fencing Then, the imensionsS (X and maximizes the area would be x = Blank 1 feet by y = Blank 2…

A:

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

A:

Q: The owner of a lumber store wants to construct a fence to enclose a rectangular outdoor storage area…

A: *to find:- length of parallel and perpendicular sides for which area is maximum.

Q: 6. A ferry operator takes tourists to an island. The operator carries an average of 500 people per…

A: Solve the

Q: A rectangular roller skating rink has no boundaries. If you were to take a 300-foot length of rope…

A: Given : Length of Rope to create boundaries around the rectangular roller skating rink = 300 foot…

Q: Using calculus, find the dimensions of a cardboard box without a lid that has a volume of 32, 000…

A:

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

A:

Q: 7. Mathematical Connections Ricardo wants to install two security cameras at point A so the parking…

A: The two cameras will have total view of: 110° + 110° = 220°   The angle to be viewed is: 270° -…

Q: r(p) = 600p - 6p^2 what price p maximizes revnue?  p= $___

A:

Q: Use the method of Lagrange multipliers to solve the applied problem. A pentagon is formed by placing…

A:

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

A:

Q: The cost per unit C, in dollars, of producing a off-road 4x4 ATV at a local manufacturing plant is…

A:

Q: A challenging pen problem A farmer uses 200 meters of fencingto build two triangular pens against a…

A: Dimension of triangular pens is given as x and y So, area of Triangular Pen = 12×height+base…

Q: Horse Barn Corral A horse breeder wants to construct a corral next to a horse barn that isL= 16 feet…

A:

Q: Cost In redecorating an office, the cost for new carpeting is $5 per square foot and the cost of…

A:

Q: A farmer plans to enclose a rectangular pasture adjacent to a river. (see figure). The pasture must…

A: total area= xy=125000 So, y=125000/x   Total fence needed=P= y+x+y=x+2y  We have to minimize P

Q: Minimizing time Hannah is standing on the edge of an island,1 mile from a straight shoreline (see…

A: Given figure, PR = x miles PQ = 1 mile PT = 2 miles So RT = PT - PR = (2 - x) miles

Q: 4. A local club is arranging a charter flight to Hawaii. The cost of the trip is $558 each for 81…

A: Given that: A local club is arranging a charter flight to Hawaii. The cost of the trip is $558 each…

Q: You have 100 feet of fencing to build a pen in the shape of a circular sector, the "pie slice"…

A: Given the perimeter of the circular sector is 100 feet   i.e. r+r+s = 100   ⇒ 2r+s = 100    ⇒ s =…

Q: A rectangular page is to contain 24 square inches of print.  The margins at the top and bottom of…

A: Given :  A rectangular page is to contain 24 square inches of print.  The margins at the top and…

Q: You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not…

A: Given, Length=(200-2x) feet Width=x feet

Q: A farmer decides to enclose a rectangular field using the side of a barn as one side of the…

A: To find the value of x,y for maximum area.

Q: 11. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan to use…

A:

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: You have 92 92 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle…

A: Topic = Algebra

Q: puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan to rall of your…

A:

Q: Farmer Ed has 300 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A:

Q: Question You work at a farm that wants to build three identical rectangular corrals in a row against…

A:

Q: 49. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan use the…

A: Answer to the question number 49 is given below.     We want to find the maximum area.

Q: Airline regulations Suppose an airline policy states that all baggagemust be box-shaped with a sum…

A: Let the length and width of the square based box both equal to a and the height is b. Then we get as…

Q: You have 76 ft of fencing to construct a rectangular pen for cattle. What are the dimensions of the…

A:

Q: When installing fiber optics, some companies will install a sonet ring; a full loop of cable…

A: In the nearest neighbor algorithm, a vertex is chosen first and then with each step, an edge with…