Calculus Problem Description: Assume: • The cost of an industrial robot is $400,000. • The robot replaces 4 laborers. • Each laborer works 8 hours a day, 5 days a week, and 52 weeks a year. • For each laborer, the yearly wage is $50,000 plus benefits. • Additional benefits are 20% of wages. • The average sick time is 6 days per year. • 10 days of paid vacation per year. • Holidays and other days off an average of 15 days. • 45 minutes launch hour per day. • There are two 15 minutes coffee breaks per day. • The robot is inoperative on an average of 10% of the time. • The robot works 24 hours per day (3 shifts) and 5 days a week. Please calculate how long it will take to return the initial investment to the company..

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 56E
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Calculus

Problem Description:

Assume:

• The cost of an industrial robot is $400,000.

• The robot replaces 4 laborers.

• Each laborer works 8 hours a day, 5 days a week, and 52 weeks a year.

• For each laborer, the yearly wage is $50,000 plus benefits.

• Additional benefits are 20% of wages.

• The average sick time is 6 days per year.

• 10 days of paid vacation per year.

• Holidays and other days off an average of 15 days.

• 45 minutes launch hour per day.

• There are two 15 minutes coffee breaks per day.

• The robot is inoperative on an average of 10% of the time.

• The robot works 24 hours per day (3 shifts) and 5 days a week.

Please calculate how long it will take to return the initial investment to the company.. 

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