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Mike's Utility Function Is U(c, D, H)= 8c + 12d

question 15

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Mike's utility function is U(c, d, h) = 8c + 12d - d2 - 6h, where d is the number of hours per day that he spends driving around, h is the average number of hours per day spent driving around by other citizens of his town, and c is the amount of money he has to spend on other things than gasoline and auto repairs.There are 1,001 identical citizens in Mike's home town.Mike's expenses for gasoline and auto repairs amount to $.50 per hour for the time he spends driving.If Mike believes that his amount of driving won't affect the amount that others drive, how many hours per day will he choose to drive?


Definitions:

Break-Even Point

The level of sales at which total revenues equal total costs, resulting in no net loss or gain.

Sales Mix

The composition of a company’s product or service sales, showing the relative proportions of each product or service sold.

Net Income

The total revenue minus total expenses, indicating the profitability of a company over a specific period.

Contribution Margin Ratio

The ratio of Contribution Margin to Sales Revenue, measuring the percentage of each sales dollar available to cover fixed costs and profit.

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