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John Is Trying to Decide How to Divide His Time

question 79

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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:  Hours Per  Day Cleaning  Windows  Total Number  of Windows  Cleaned 0017211314416517\begin{array} { | c | c | } \hline \begin{array} { c } \text { Hours Per } \\\text { Day Cleaning } \\\text { Windows }\end{array} & \begin{array} { c } \text { Total Number } \\\text { of Windows } \\\text { Cleaned }\end{array} \\\hline 0 & 0 \\\hline 1 & 7 \\\hline 2 & 11 \\\hline 3 & 14 \\\hline 4 & 16 \\\hline 5 & 17 \\\hline\end{array} What is the lowest price per window that would induce John to spend at least one hour per day cleaning windows?


Definitions:

Capital

Financial assets or the financial value of assets, such as cash and goods, used by a business to produce goods or services and create wealth.

Future Benefits

Expected advantages or gains in the future, often considered in decision-making processes or investment analysis.

Retained Earnings

Profits that a company keeps after dividends have been paid out to shareholders, used for reinvestment in the business or to pay down debt.

Capital

Resources made and used by people to produce and distribute goods and services; includes tools, machinery, and buildings.

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