Tina's Material Company hauls gravel to a construction site, using a small truck and a large truck. The carryingcapacity and operating cost per load are given in the accompanying table. Tina must deliver a minimum of 280 cubicyards per day to satisfy her contract with the builder. The union contract with her drivers requires that the totalnumber of loads per day is a minimum of 9. How many loads should be made in each truck per day to minimize thetotal cost?Capacity (yd³)Cost per LoadSmall Truck Large Truck4070$71$47In order to minimize the total cost, the number of loads in a small truck that should be made isloads in a large truck that should be made is.and the number of

The minimum capacity, that Tina must deliver per day is 280 cubic yards. The minimum capacity of…

Answered: Tina's Material Company hauls gravel to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must contain 5,000 square meters in order to provide enough grass for the herd. No fencing is needed along the river. What dimensions will require the least amount of fencing? X = y = m
5. Josh is planning to paint the walls and ceilings in several rooms of his home. The walls have a combined area of 1840 ft². The ceilings have a combined area of 920 ft². The walls will require 2 coats of paint, and the ceilings will take a single coat of paint. Each gallon of paint covers about 240 ft². How many gallons of paint are needed for the walls? How many gallons of paint are needed for the ceilings? Round up to the nearest whole gallon if necessary.
Can someone please solve the following question for me saving all work.
A cylinder shaped can needs to be constructed to hold 250 cubic centimeters of soup. The material for the sides of the can costs 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h: height of can, r: radius of can Volume of a cylinder: V = Tr²h Area of the sides: A = 2πrh Area of the top/bottom: A = Пр2 To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents
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 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.07 cents per square centimeter. Find the dimensions for the package that will minimize production cost.Helpful information:h : height of cylinder, r : radius of cylinderVolume of a cylinder: �=��2ℎArea of the sides: �=2��ℎArea of the top/bottom: �=��2To minimize the cost of the package:Radius: (cm)Height: (cm)Minimum cost: (cents)
A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.07 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h: height of can, r: radius of can Volume of a cylinder: V = Tr²h Area of the sides: A 2nrh %3D Area of the top/bottom: A To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.03 cents per square centimeter. The top will be made of glued paper, costing 0.08 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h: height of cylinder, r: radius of cylinder Volume of a cylinder: V = Area of the side: A = 2Trh Area of the top/bottom: A To minimize the cost of the package: Radius: cm Height: cm Minimum cost: cents
A goal is to get at least 10% of daily calories from polyunsaturated fats as are found in various nuts, oils, and fish. One serving of walnuts (about 15 pieces) has about 20 g of polyunsaturated fat. Each fat gram has 9 calories. About what percent of daily calories does one serving of walnuts provide, assuming a 2,000-calorie diet?
6. Charlie's Chick Peas come in cans as shown. a) Determine the volume of one can. b) Could Charlie save money on packaging materials by altering the design of his can? Explain. c) Determine the maximum amount Charlie can save on materials without reducing the volume of the container. Express your answer as a percent. nislqx3 shem woy K 8 cm H Charlie's Chick Peas 18 cm 1.6 Analyse Optimum Volume and Surface Area. MHR MHR 6
K A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The metal in the dome costs 1.7 times as much as the concrete (per unit of surface area). If the volume of the silo is 650 m³, what are the dimensions of the silo (radius and height of the cylindrical tower) that minimize the cost of the materials? Assume the silo has no floor and no flat ceiling under the dome. What is the function of the cost of the silo, C, in terms of the radius, r? (650 2 +3.4Rr² ²3 (Type an expression. Type an exact answer, using a as needed.) C= 2xr The interval of interest of the objective function is. (Simplify your answer. Type your answer in interval notation. Round to the nearest tenth as needed.)
A cylinder shaped can needs to be constructed to hold 250 cubic centimeters of soup. The material for the sides of the can costs 0.02 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.08 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h: height of can, r: radius of can Volume of a cylinder: V = T Area of the sides: A = 2arh Area of the top/bottom: A To minimize the cost of the can: Radius of the can: Height of the can: Minimum cost: cents
A rectangular storage tank with an open top is to have volume (20 m³). The length of the base is twice the width, see the figure. The Material of the base costs (20 $) per square meter. The material of the sides costs (10 $) per square meter. Use Lagrange multiplier method to find the optimum dimensions of a tank that give the minimum cost. h 2w Ans./ l= 3.914 W = 1.957 h - 2.61

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