A former Yummy Burger USA CEO, Peter French, said that purchasing a $$31,000$ robotic

arm would be cheaper than paying fast$-$food workers $$11$ per hour for food preparation

tasks like bagging french fries.

To test the former CEO's assertion using a hypothetical example, make the

following assumptions:

a$.$ For the cost of the hourly workers, use a total wage rate of $$13$ per hour to reflect

payroll taxes $($the hourly wage rate used here is higher than $$11$ since payroll taxes can

add $15\%$ or more to the hourly wage rate$).$

b$.$ Assume that freight and installation for the robot's initial placement in a Yummy Burger

restaurant will be a one$-$time cost of $$4,800.$

c$.$ The robot will require annual maintenance service. Assume an annual service contract

is required that costs $20\%$ of the original robot cost including the

original freight$/$installation$.$

d$.$ Assume that the robot will replace $11$ employee hours per day, $360$ days per year $($the

robot will not, at least initially, be as versatile as a person and cannot fully eliminate all

food prep workers at this point$).$

e$.$ Electricity and supplies consumed by the robot will be assumed to be $$1,600$ per year.