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John Is Trying to Decide How to Divide His Time

question 85

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John is trying to decide how to divide his time between his job as a stocker in the local grocery store,which pays $7 per hour for as many hours as he chooses to work,and cleaning windows for the businesses downtown.He makes $2 for every window he cleans.John is indifferent between the two tasks,and the number of windows he can clean depends on how many hours he spends cleaning in a day,as shown in the table below:  Cleaning time  (hr/day)   Total numbers of  windows cleaned 0017211314416517\begin{array} { | l | l | } \hline \begin{array} { l } \text { Cleaning time } \\\text { (hr/day) }\end{array} & \begin{array} { l } \text { Total numbers of } \\\text { windows cleaned }\end{array} \\\hline 0 & 0 \\\hline 1 & 7 \\\hline 2 & 11 \\\hline 3 & 14 \\\hline 4 & 16 \\\hline 5 & 17 \\\hline\end{array}
Refer to the information above.What is the smallest amount of money per window cleaned that would induce John to spend at least one hour per day cleaning windows?


Definitions:

Socially Withdrawn

A tendency to pull away from social interactions or situations, often due to discomfort, shyness, or personal preference.

Temper Tantrum

An emotional outburst, typically in children, characterized by yelling, crying, or physical expressions of frustration.

Cognitive Therapists

Specialists in psychology who focus on modifying dysfunctional emotions, behaviors, and thoughts through a goal-oriented, systematic approach.

Depressed Clients

Individuals seeking therapy or counseling services who are suffering from depression, characterized by persistent sadness and loss of interest in activities.

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