company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom and a top and a volume of 382 cm3. How should the company design the cans (i.e. what are the dimensions of the cans) if they want to minimize the cost of constructing them.

Q: A construction company needs to dig a hole and fill it with gravel. The company has two options. The…

A: Given that

Q: A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed…

A:

Q: A worker is to construct an open rectangular box with the square base and volume of 12 ft.³. If…

A:

Q: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A:

Q: Travon is a landscape architect who has received a ​$300,000 budget from the city to build a new…

A: Simple calculation problem....

Q: What are the dimensions for the cheapest possible rectangular box with a volume of 396 cm3  if the…

A:

Q: 1. A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A: We have to find the dimensions of the tin can.

Q: An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A…

A:

Q: 1. A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A: The cylindrical cans to be manufactured by the company must have a volume of 382 cm3. Consider the…

Q: A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

A: Area of rectangular place = 280 square feet.

Q: 2. Suppose an airline policy states that all baggage must be rectangle-shaped with the sum of the…

A: We first calculate the side of square box then calculate its volume. Using formula Volume of cube…

Q: A closed rectangular box with a square base and a volume of 12 cubic feet is to be constructed from…

A: Volume=12 cubic feet Top is made of a metal costing $2/ft2 Remainder of wood costing $1/ft2

Q: The water-supply manager for Kansas City needs to supply the city with at least 19 million gallons…

A:

Q: An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A…

A: An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A…

Q: A box with a rectangular base is to be constructed of material costing $2/square inches for the…

A: Given problem is : A box with a rectangular base is to be constructed of material costing $2/square…

Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

Q: Farmer Brown wants to fence in a rectangular plot in a large field, using a rock wall which is…

A: Please see the diagram below to comprehend the situation. East and West dimension is y and the…

Q: Lone Depot and Homes are two competing home improvement stores. Each claims to provide customers…

A: To find: The dimensions for minimum cost and also find the minimum cost. Given information: The…

Q: rectangular field with one side along a river is to be fenced. Suppose that no fence is needed along…

A:

Q: The water-supply manager for San Francisco needs to supply the city with at least 19 million gallons…

A:

Q: wastebasket has a wire circle for the top and bottom, and six straight wire rods that hold the top…

A: Find your answer below

Q: Farmer Brown wants to fence in a rectangular plot in a large field, using a straight rock wall that…

A:

Q: 1. A farmer wants to fence in a field and divide it into four side by side, equal areas. If he wants…

A: From the given data And, xy=8000&f(x,y)=2x+5y is the parimeter to minimize.

Q: An open top rectangular tank with square bases is to have a volume of 10 cubic meters. The material…

A: To find out the most economical height.

Q: A firm has two plants, X and Y. Suppose that the cost of producing x units at plant X is  x2 + 600…

A: Given, cost of producing x units at X plant = x2+600 cost of producing y units at Y plant = 3y2+1400…

Q: A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides…

A:

Q: 2. During the planning of a birthday party, it is decided that the souvenir will be enclosed in a 80…

A: We will find cost function in terms of a single variable and then minimize it  For relative maximum…

Q: 4) An ice cream company is designing fancy glass containers for their ice cream. The containers will…

A:

Q: The water-supply manager for a Midwestern city needs to supply the city with at least 11 million…

A: Given, Manager needs to supply the city with at least 11 million gallons of potable water per day.…

Q: 1. must have both a bottom and a top and a volume of 382cm³. A company needs to manufacture…

A:

Q: 19. If the farmer in Exercise 18 wants to enclose 150 square meters of land, what dimensions will…

A: The minimum of a function can be obtained at the point where the slope of the function is 0. The…

Q: A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed…

A:

Q: A cylinder-Its sides are made of cardboard, its bottom is made of thick plastic-coated aluminum…

A: Let r , in centimeter be the radius of base of cylinder and h, in centimeter be height of cylinder.…

Q: 6. A soda company is designing a new can that is more cost efficient. The base of the can costs…

A:

Q: rectangular box with a volume of 304 ft is to be constructed with a square base and top. The cost…

A: we have been given that the top and bottom of the rectangular box is of the square  let the side of…

Q: The water-supply manager for a Midwesten city needs to supply the city with at least 12 million…

A:

Q: r a simple, homogeneous monocentric city with a circular shape. If the location rent premium at the…

A: Given: The location rent premium at the center =  $5,000 per year per acre, The rent at the edge of…

Q: Albert wants to make an open box from a rectangular piece of cardboard by cutting squares out of the…

A: Here we use the second derivative test to find the dimensions of the required box.

Q: 1. A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A: Given that a company needs a manufacture cylindrical cans out of tin, each volume must have both a…

Q: me of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling, $9,000 for…

A: INTRODUCTION: Let z=f(x,y) be the function of x and y, the extrema of the function is dependent on…

Q: 6. A rectangular vault is to be constructed on an existing floor at a bank so as to enclose a volume…

A: Here we have to use Lagrange multiplier method Suppose you want to maximize f(x,y,z) subject to the…

Q: A cylindrical chemical storage tank with a capacity of 950m’ is going to be constructed in a…

A: Given that a cylindrical chemical storage tank with a capacity of 950m3 is going to be constructed…

Q: An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A…

A: Solution:

Q: fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides…

A: Rectangular area=280 square feet   Let the length of rectangle=x   Let the width of rectangle…

Q: $24 is available to make a rectangular storage container with a square base and open top. If the…

A:

Q: 4. Find the dimensions of the least expensive rectangular box which is three times as long as it is…

A:

Q: A rectangular garden of area  64m^2 is to be constructed using rock walls for  two adjacent sides…

A:

Q: The water-supply manager for New York City needs to supply the city with at least 19 million gallons…

A:

Q: 1.A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A:

Q: An oil refinery is located 1 km north of the north bank of a straight river that is 3 km wide. A…

A: Given that an oil refinery is located 1 km north of the north bank of a straight river that is 3 km…