Asked by lauren delancellotti on Jun 24, 2024

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Mr.Cog has 18 hours per day to divide between labor and leisure.His utility function is U(C, R)  CR, where C is dollars per year spent on consumption and R is hours of leisure.If he has a nonlabor income of 32 dollars per day and a wage rate of 13 dollars per hour, he will choose a combination of labor and leisure that allows him to spend

A) 133 dollars per day on consumption.
B) 149 dollars per day on consumption.
C) 266 dollars per day on consumption.
D) 123 dollars per day on consumption.
E) 199.50 dollars per day on consumption.

Utility Function

A mathematical representation in economics that captures an individual's preference ranking for different bundles of goods or outcomes.

Nonlabor Income

Income received from sources other than employment, such as investments, pensions, or inheritances.

Wage Rate

The fixed or variable payment earned by employees for their work or services, typically documented on an hourly, daily, or piecework basis.

  • Grasp the connection involving financial income, the expenditure on goods, and leisure activities in the enhancement of utility maximization.
  • Assess the negotiation between financial gains from employment and leisurely breaks in identifying the preferable length of work hours.
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Sakshi SarkarJun 26, 2024
Final Answer :
A
Explanation :
Given Mr. Cog has 18 hours per day to divide between labor and leisure, and his nonlabor income is 32 dollars per day with a wage rate of 13 dollars per hour, we calculate his maximum earning potential by multiplying the wage rate by the maximum hours he can work (18 hours). However, since he needs to allocate time for leisure to maximize his utility, we need to find the optimal balance without specific details on his utility maximization preferences. Assuming he works all 18 hours, he would earn 18 * 13 = 234 dollars from labor. Adding his nonlabor income of 32 dollars gives a total of 266 dollars per day. However, this scenario doesn't account for leisure time, which is a part of his utility function. Without explicit details on how he values leisure versus labor, we cannot accurately determine his optimal consumption spending. The correct answer must be inferred based on the information provided, which does not allow for a precise calculation of his consumption spending with respect to his leisure time. Therefore, the assumption that he allocates all his time to labor for maximum earning (and thus maximum spending) is incorrect, making the provided options speculative in the context of utility maximization.