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 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 closes 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 th Maximum Number of Profit per Gizmo Profit per Widget Number of Widets Profit Gismos $99 $98 $78 $265 $103 point? Scenario A: Scenario B: Scenario C: Scenario D: $120 $120 $105

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 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 closes 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 th Maximum Number of Profit per Gizmo Profit per Widget Number of Widets Profit Gismos $99 $98 $78 $265 $103 point? Scenario A: Scenario B: Scenario C: Scenario D: $120 $120 $105

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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