The product-exchange function for gasoline x and heating oil y, in hundreds of gallons per day, is 8) 125,000-25х y = 125 2x Find the maximum gasoline and heating oil that can be produced

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: B4. Find the dimensions of the right circular cylinder of maximum lateral surface area which can be…

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 2) By measurement, a triangle is found to have two sides of length 50 cm and 70 cm; the angle 1…

A: Follow the procedure given below.

Q: A fence must be built in a large field to enclose a rectangular area of 25,600 m?. One side of the…

A: Let x be the length of the two end sides and  y be the length of side which has fence already.…

Q: 5. Design a 4m³ open-top box shaped like a circular cylinder as shown in Figure. What dimensions…

A:

Q: A farmer wishes to fence in a rectangular plot of land with one side running along a road. The cost…

A:

Q: You want to design a box with a square base such that the sum of its length, width and height does…

A: We have given that the dimension of the box is not exceed 51 .

Q: a 60 room hotel is filled to capacity every night at a rate of $40 per room. the management wants to…

A: Profit without increase = No.of rooms * rate per room                                  =60*40…

Q: A cable is to be run from a power plant on one side of a river 600 m wide to the factory on the…

A: A rough diagram for the given situation is shown below Let the cable being run till a distance x…

Q: (a) If you can throw a baseball with an initial speed of 40 meters per second, at what angle of…

A:

Q: You want to design a box with a square base such that the sum of its length, width and height does…

A:

Q: An oil refinery is located on the north bank of a straight river that is 1 km wide. A pipeline is to…

A:

Q: A cylindrical drum is to be manufactured from a synthetic material and is to hold 547 m³ of liquid.…

A: The solution is given below in the next step:

Q: A machinist in an engineering machine shop has ordered a sheet of plastic with dimensions of 5 m × 6…

A: Dimensions of plastic sheet = 5m×6m×50mm            Dimensions of door  = 3m×4m where Length of…

Q: a. A water tank has the shape of an upright cylinder with radius r = 1 meter and height 10 meters.…

A: Work needed = 37500 N m

Q: You are to construct an open rectangular box from 12 ft2 of material. What dimensions will result in…

A:

Q: How do you answer the question in the attached image?

A: given: A storage box with a square base must have a volume of 80 cubic centimeters. The top and…

Q: (c) cut from each corner of length x cm, a maximum volume for the resulting open-top cake tin will…

A:

Q: An engineer is designing the runway for an airport. Of the planes that will use the airport, the…

A: Given:   To determine: The minimum allowed length for the runway.

Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

A: Easy to handle two variables rather than three variables, so i substitute by a variables by other…

Q: A piece of cardboard measuring 14 inches by 12 inches is formed into an open-top box by cutting…

A: Please rate my answer, thanks

Q: A worker is to construct an open rectangular box with a square base and a volume of 147 ft3. If…

A: Let x be the length and width, and y be the height of the rectangle box with square base.Therefore,…

Q: The cost of laying a power line underwater is 2 times that of underground. An island is 5 km from…

A: The cost of laying a power line underwater is 2 times that of underground. An island is 5 km from…

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The…

A:

Q: A rectangular box of height h with a square base of side b has volume V = 4 m3. Two of the side…

A:

Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = ' +…

A:

Q: A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by cutting…

A:

Q: A rectangular playing field is to have an area of 400 sq. meters. Fencing is required to enclose the…

A: Concept: Area of the rectangle is  A=length×width Fencing of the rectangle means covering its…

Q: 4. A projectile is launched with an initial speed of 40 m/s from the floor of a tunnel whose height…

A:

Q: n constructing an open rectangular box from 108 ft? of material, what dimensions will result in a…

A:

Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: I am attaching image so that you understand each and every step.

Q: When a ship is sailing, the total cost per hour includes a fixed part p and the fuel cost q that is…

A:

Q: A metal wire of length 80 cm is cut into two parts such that one part is 4k cm long. Each part of…

A:

Q: A rectangle field is formed using a building as 1 side. The other 3 sides are to be fenced with…

A:

Q: A farmer wants to fence in a rectangular plot of land. One side will run along the side of his barn,…

A:

Q: Use the method of Variation of Parameters to solve. SHOW WORK. у" - у' — 2у %3D 2е-t

A:

Q: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

Q: A fencing is limited to 120ft length. What is the maximum rectangular area that can be fenced in…

A:

Q: Exercise 10. A wire of length 28 m is to be cut into two pieces. One of the two pieces is to be made…

A: Concept: Maximum and minimum value: To find the maximum and minimum value of a function using first…

Q: Find the minimum cost of a rectangular box that is three times as long as it is wide and which holds…

A: Consider the dimension of rectangular box be x, 3x, and h. Then, volume is given by V=x×3x×h  =3x2h…

Q: A parcel delivery service will deliver a package only if the length plus the girth (distance around,…

A: Let the side of the rectangular box is l, b and h.  Maximum possible dimension is  2l + 2b + h = 108…

Q: The measurement of a side of a square is found to be 10 cm, with a possible error of 0.05 cm. A.…

A:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The path of the quadcopter is given by the equation y=2.15+2.09x-0.41x2, 0≤x≤3.6 (i) The distance of…

Q: 9. Make an open box from a square cardboard with sides measuring 36 cm by cutting equal squares out…

A:

Q: Find the minimum cost of a rectangular box of volume 190 cmwhose top and bottom cost S cents per cm…

A:

Q: Assume perfect competition: Price: $99 Cost: TC 3Q+0.04Q² Solve for the profit-maximizing Quantity…

A:

Q: Brittany needs to construct a cylinder from a single sheet of metal with a perimeter of 2,148 mm.…

A: Given that a single sheet with perimeter 2148 mm.

Q: A rectangular tank that is 1372 ft° with a square base and open top is to be constructed of sheet…

A: The tank with minimum weight is the one with minimum surface area. Since the base is square, its…

Q: You want to design a box with a square base such that the sum of its length, width and height does…

A: Given query is to find the maximum possible volume for the box with the given data.

Q: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…