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Suppose That You Can Schedule a Worker Up to Four

question 28

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Suppose that you can schedule a worker up to four hours per day.The benefit function is given by B(H)= 500H - 22.5H2 and the cost function is given by C(H)= 100 + 15H2.The corresponding marginal benefit and marginal cost functions are given by MB(H)= 500 - 45H and MC(H)= 100 + 30H.What is the best choice of hours for this worker?

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Definitions:

Normally Closed

A term used to describe a switch or contact configuration where the default state is making contact (closed), allowing current flow until actuated to open.

Stop Buttons

Manual control devices used to halt machine operations or processes, typically as a safety or emergency measure.

PLC

Stands for Programmable Logic Controller, a digital computer used for automation of electromechanical processes, such as control of machinery on factory assembly lines.

CPU

The Central Processing Unit, which is the primary component of a computer responsible for interpreting and executing most of the commands from a computer's other hardware and software.

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