Sales of shampoo by CleanHair, Inc. have recently decreased from 1,300 to 1,100 units in response to a price decrease from $7 to $5 by its main competitor. Assuming that everything else is being held constant, we can infer that: a) the cross-price ARC-elasticity (midpoints formula) between the two products is -2.
b) the cross-price ARC-elasticity (midpoints formula) between the two products is -

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.

On september 1, 2016, steve loaned brett $2,000 at 12% interest compounded annually. steve is not in the business of lending money. the note stated that principal and interest would be due on august 31, 2018. in 2018, steve received $2,508.80 ($2,000 principal and $508.80 interest). steve uses the cash method of accounting. what amount must steve include in income on his income tax return?

Aproperty title search firm is contemplating using online software to increase its search productivity. currently an average of 40 minutes is needed to do a title search. the researcher cost is $2 per minute. clients are charged a fee of $400. company a's software would reduce the average search time by 10 minutes, at a cost of $3.50 per search. company b's software would reduce the average search time by 12 minutes at a cost of $3.60 per search. which option would have the higher productivity in terms of revenue per dollar of input?