Detail

2. As consumers learn about the implications of the study on beets, this new use (in addition to beets as food), will increase the demand for beets. As shown in the graph to the right, an increase in demand leads to an increase in both price and quantity consumed. This answer assumes a short-run analysis. Usually in intro micro, a short-run analysis is correct, however be sure you listen to what your prof prefers. In this instance, the correct answer for long run wasn't available, so the short-run analysis had to be correct.

Let's consider the incorrect choices:

The equilibrium beet price will rise and quantity will fall. For this to be correct, supply would have had to shifted back (or decreased); resulting from an increase in production costs or an increase in the market price of another crop also grown by beet farmers.
The equilibrium beet price will fall and quantity will rise. Supply would have had to shifted out (or increased); resulting from a decrease in production costs, an improvement in beet growing technology or a reduction in the market price of another crop also grown by beet farmers.
The equilibrium beet price will fall and quantity will remain constant. This would require two shifts, both a reduction in demand (meaning that beets would have become less popular) and an increase in supply (same causes as in (b).)
The equilibrium beet price will rise and quantity will rise.
The equilibrium beet price will fall and quantity will fall. This would require a reduction in demand (meaning that beets would have become less popular).

If, however, we had been interested in the long run version of this question, we would have to consider the possibility that beet farmers would plant more beets over time. This would mean that both supply and demand would increase, leading to an increase in quantity but an indeterminate change in price.