Its question 2 个→ COpen vSharesmileldcsbon-my.sharepoint.comOptimization Ass....pdf2. A 300 cm long feed trough, in the shape of an isosceles triangular prism, is to be made with steel ends andtwo boards 30 cm wide. How wide should the top of the trough be in order to maximize the volume of thetrough? Decimals NOT permitted.Hints: #1 You will need to set up a Pythagorean relationship.#2 Let the width of the trough be 2xVolume = (Area of the base) x heightED Infoh30 cm300 cm3. A rectangular picnic area of 8000 m² is being constructed by the Parks Commission along the edge ariver. It will be fenced on three sides, but not along the river. Ornamental fencing costing $12/m will be used onthe side opposite the river and chain-link fencing costing $3/m will be used on the other two sides. What arethe dimensions of the fence which will cost the least to make?:X

Let base of isosceles triangle =2x cm As we know altitude is perpendicular bisector to base of…

Answered: 2. A 300 cm long feed trough, in the…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 22PS: In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air...

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In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air per minute. (a) Determine the ventilation rate per child in a full classroom. (b) Estimate the air space required per child. (c) Determine the minimum number of square feet of floor space required for the room when the ceiling height is 30 feet.
A farmer needs to enclose a rectangular pasture containing 2,500,000 square feet.Suppose that along the road adjoining their property that they want to use a more expensivefence and that there is no need of a fence on one side perpendicular to the road (because a riverbounds the property). If the fence costs $15 per foot along the road and $10 per foot along theother perpendicular sides, what dimensions of the rectangular field will minimize the total cost?(See diagram below for visual information)
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.04 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. If the radius is equal to 3.86 cm and height is equal to 9.61 what is the minimum costs in cents?
To maximize the number of cases of merchandise that can be shipped simultaneously, the company should purchase ___?___ high-capacity trucks and ____?____low-capacity trucks.
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.05 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
A 32 centimeter by 31 centimeter piece of carboard will be made into a box by cutting equal sized squares from each corner and the tabs along the sides will be turned up to make the box. What size square should be cut from each corner to maximize the volume of the box, and what is the maximum volume? (Round answers to nearest hundredth, write out all units).
A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with no lid) by cutting congruent squares out of each corner, folding up the sides, and taping the edges. What size squares should you cut out of the maximum volume?
It is required to build a mirror with the sides in the shape of a half circle, as shown in the figure. The cost to cut the straight sides is $ 10.00 per cm and the cost to cut the curved sides is $ 15.00 per cm. Determine the dimensions of the mirror to maximize the area, if you have a budget for cuts of $ 3,500.00
A former plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the herd the pasture must contain 361,250 sq/m. No fencing is required along river. What dimensions will use the least amount of fencing?
A commercial cherry grower estimates from past records that if 21 trees are planted per acre, then each tree will yield an average of 33 pounds of cherries per season. If, for each additional tree planted per acre (up to 24 additional trees), the average yield per tree is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield? Question content area bottomIn order to get the highest yield of....pounds, ..... trees should be planted per acre.
A wire 5 meters long is cut into two pieces. One piece is bent into an equilateral triangle for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures? Give the length of wire used for each:For the equilateral triangle: For the circle: Where should the wire be cut to maximize the total area? Again, give the length of wire used for each:For the equilateral triangle: For the circle:
A lont strip of sheet metal 12 inches wide is to be made into a small trough by turning up two sides and right angles to the base. If the trough is to have maximum capacity, how many inches should be turned up on each side?

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