Asked by Kaitlan Phillips on Jun 07, 2024

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Mr.Cog has 18 hours a day to divide between labor and leisure.If he has 17 dollars of nonlabor income per day and gets a wage rate of 13 dollars per hour when he works, his budget equation, expressing combinations of consumption and leisure that he can afford to have, can be written as

A) R  C/13  329.
B) 13R  C  17.
C) C  251  13R.
D) 13R  C  251.
E) C  302  13R.

Nonlabor Income

Income received that does not originate from employment or work efforts, such as dividends, interest, or rental income.

Wage Rate

The amount of money that is paid to a worker per unit of time or per unit of output, often discussed in the context of labor markets.

Budget Equation

A mathematical representation of the constraint that the total value of goods and services a consumer can purchase is limited by their income.

  • Incorporate the concept of financial limitations into personal budget planning.
  • Deploy mathematical resources to overcome optimization challenges in economics.
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Barbara PetilloJun 12, 2024
Final Answer :
D
Explanation :
Mr. Cog's total income consists of his nonlabor income plus his income from labor (wage rate times hours worked). Since he has 18 hours a day to divide between labor and leisure, if he works R hours, he has 18-R hours of leisure. His nonlabor income is $17, and his wage rate is $13 per hour. Therefore, his total income (consumption, C) can be expressed as the sum of his nonlabor income and his income from labor, which is $17 + $13R. Since he has 18 hours in total, and if he uses R hours for work, the equation representing his budget constraint is C = 17 + 13R, which matches the format of choice D.