Mardi Gras sells 3 types of T-shirts: Alabama, Buffalo, and Colorado. Manufacturing Alabamarequires 2 minutes of machine time and 30 minutes of tie-dying labor, and costs $18 in materials.The Buffalo requires 2.5 minutes of machine time and 35 minutes of labor, and costs $14 inmaterials to produce. The Colorado requires 3 minutes of machine time and 40 minutes of labor, butcosts only $10 to produce. There are 350 machining minutes available per week, 4750 tie-dyinglabor minutes, and he has a budget of $3000. Alabama sells for $20, Buffalo for $24, and Coloradofor $30.The solution from QM for Windows is shown below.ine Pregramming Resu(unled) SohonRHSDualMaumue202430Constrant 12.535010Constrant 23035404750Constrant 31814103000Solution116673500The ranging report from QM for Windows is shown below.Ranging(untitled) SolutionVariableValue Reduced.Original Val Lower Bou Upper Bou-InfinityA2020B24-Infinity25InfinityOriginal Val Lower Bou Upper Bou116.673030Dual Value Slack/SurpConstraint 110350356 25Constraint 283 3347504666 67InfinityConstraint 31833 3330001166.67InfinityIf one of the machines breaks down, it usually results in about 15 minutes of downtime. When thishappens, revenues are reduced by:$250.$180.$150.$350.

Given: Possible make in 15 minutes

Answered: Mardi Gras sells 3 types of T-shirts:…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are opening a plant that will manufacture widgets (w) and gizmos (g). The widget machines cost $10,000 each. They each require 4 operators and 500 square feet o space. The gizmo machines each cost $6,000 ard require 6 operators and 500 square feet of space. Your new plant has 40,000 square feet of space available for the machines. HR estimates that you will be able to hire 460 operators to run the machines. Your budget for buying machines is $660,000. a) List all 5 constraints. b) List the coordinates of the corners of the graph in (g,w) form. (We cannot buy a fraction of a production machine. If the corners are not whole numbers, give the closest whole number coordinates along each constraint line.) c) Given the following estimated profits per hour per machine in each scenario, how many of each type of machine should you buy? What will be your profit per hour at tha Profit per Maximum Profit per Widget Number of Gismos Number of Widets Gizmo Profit $99 $98 $78 $120 $265 $103 ts…
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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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