The Donaldson Furniture Company produces three types of rocking chairs: the children's model, the standard model, and the executive model.Each chair is made in three stages: cutting, construction, and finishing.The time needed for each stage of each chair is given in the chart. During a specific week the company has available a maximum of 173 hoursfor cutting, 107 hours for construction, and 88 hours for finishing. Determine how many of each type of chair the company should make to beoperating at full capacity.The number of executive chairs the company should make is∞StageCuttingConstructionFinishingChildren's Standard5 hr4 hr3 hr2 hr2 hr2 hrExecutive7 hr5 hr4 hr

According to the given data, find the number of executive chairs the company should make:

Answered: The Donaldson Furniture Company…

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 tool company has a uniform annual demand for 9,000 premium chainsaws. It costs $5 to store a chainsaw for a year and $2,500 to set up the plant for manufacture of the premium model. How many chainsaws should be manufactured in each production run in order to minimize the total storage and setup costs
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?
Each week at a furniture factory, 2000 work hours are available in the construction department, 1400 workhours in the painting department, and 1300 work hours in the packing department. Producing a chairrequires 2 hours of construction, 1 hour of painting, and 2 hours for packing. Producing a table requires 4hours of construction, 3 hours of painting, and 3 hours for packing. Producing a chest requires 8 hours ofconstruction, 6 hours of painting, and 4 hours for packing. If all available time is used in every department,how many of each item is produced each week? Do not solve this problem, just write the augmentedmatrix associated with this problem. Specify each variable used in the equation.

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