A manufacturing company receives orders for vehicle audio systems from two assembly plants in Atlantaand Little Rock. Atlanta needs at least 45 audio systems and Little Rock needs at least 32 audio systems.The company can send at most 126 audio systems to these assemply plants. It costs $30 per system to shipto Atlanta and $46 per system to ship to Little Rock. Atlanta gives the manufacturing company $20 inrebates toward its products for each audio system they buy, while Little Rock gives $15 in rebates. Themanufacturer estimates they need at least $1500 in rebates to cover products they plan to buy from thetwo plants. How many audio systems should be shipped to each plant to minimize shipping costs. What isthe minimum cost?Number of audio systems to ship to Atlanta:Number of audio systems to ship to Little Rock:Minimum cost: $

Answered: Image /qna-images/answer/2c02026e-7083-4a7d-8e40-91d83a8cf119.jpg

Answered: A manufacturing company receives orders…

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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Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 118 hours, only 2805 hours are available for painting, and 390.5 lbs. of supplies are available. Each Lexi doll requires 0.2 hours of sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each Maysy doll requires 0.4 hours of sewing, 10 hours of painting, and uses 0.9 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 7 hours of painting, and 2 pounds of supplies. If the company earns a profit of $145 per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P = subject to ≤118 ≤2805 <390.5 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes…
A manufacturer of table saws has three models-Deluxe, Premium, and Ultimate-that must be painted, assembled, and packaged for shipping. The table gives the number of hours required for each of these operations for each type of table saw. If the manufacturer has 104.1 hours available for painting, 360 hours for assembling, and 123.2 hours for packaging, how many of each type of saw can be produced each day? Deluxe 1.2 Painting Assembling 3 Packaging 0.4 Premium Ultimate 2 2.3 7 8 0.9 3 The manufacturer can produce deluxe saws, premium saws, and ultimate saws.
Lamar works as a car audio technician. Last week a total of 27 cars came into his shop and he made a total of $3,049.73. If Lamar normally charges $99.99 for installation of a stereo and $149.99 for the installation of a speaker system, how many of each component did he install last week?
A famine relief effort is being mounted and there are three types of food bundles that can be flown out during each delivery. Bundle 1 has 4 kg. of flour, 4 kg. of sugar and 12 litres of water. Bundle 2 has 12 kg. of flour, 4 kg. of sugar and 4 litres of water and Bundle 3 has 8 kg. of flour, 8 kg. of sugar and 8 litres of water. The relief agency has 5200 kg. of flour, 3792 kg. of sugar and 6000 litres of water for each shipment. Bundle 1 can provide for 10 people between deliveries, Bundle 2 for 8 people and Bundle 3 for 11 people. How many bundles of each type should the relief agency send on each flight in order to maximize the number of people being fed. Do this problem by setting up a linear programming problem and determining the vertices of the feasibility set. Enter the number of bundles of types 1, 2, and 3 (in that order) into the answer box below, separated with commas.
The Cheery Cherry Chair Company makes three types of chairs, the Montegue, the Capulet, and the Verona. Each chair requires assembly, finishing, and a certain amount of wood to make. The assembly area can be used for at most 10 hours per day. To keep him busy, the finishing person needs to work at least 6 hours per day. Producing a Montegue requires 1 hour of assembly, 2 hour of finishing, and 9 board feet of wood. Producing a Capulet requires 1 hour of assembly, 1 hour of finishing, and 9 board feet of wood. Finally, producing a Verona requires 2 hour of assembly, 1 hour of finishing, and 3 board feet of wood. If the company wants to minimize the amount of cherry wood used, how many should they make of each model? (It is possible to complete a fractional part a chair in a given day; in the long run you end up with completed chairs.) Number of Montegues = Number of Capulets = Number of Veronas = How many board feet of cherry wood would be used each day?

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