The production function is a mathematical function that shows: 1. the relationship between output and the factors of production. 2. the most cost-efficient means of producing output.3. how various inputs are produced. 4. the most efficient level of output produced in an economy.

In year 1, the bennetts' 25-year-old daughter, jane, is a full-time student at an out-of-state university but she plans to return home after the school year ends. in previous years, jane has never worked and her parents have always been able to claim her as a dependent. in year 1, a kind neighbor offers to pay for all of jane's educational and living expenses. which of the following statements is most accurate regarding whether jane's parents would be allowed to claim an exemption for jane in year 1 assuming the neighbor pays for all of jane's support? a. no, jane must include her neighbor's gift as income and thus fails the gross income test for a qualifying relative. b.yes, because she is a full-time student and does not provide more than half of her own support, jane is considered her parent's qualifying child. c.no, jane is too old to be considered a qualifying child and fails the support test of a qualifying relative. d.yes, because she is a student, her absence is considered as "temporary." consequently she meets the residence test and is a considered a qualifying child of the bennetts.

Based on what you learned about time management which of these statements are true

Trade will take place: a. if the maximum that a consumer is willing and able to pay is less than the minimum price the producer is willing and able to accept for a good. b. if the maximum that a consumer is willing and able to pay is greater than the minimum price the producer is willing and able to accept for a good. c. only if the maximum that a consumer is willing and able to pay is equal to the minimum price the producer is willing and able to accept for a good. d. none of the above.