Your university has an honors program that accepts exactly 40 freshmen each year. Every year before soliciting
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c. Assume that applicants to the honors program are usually the most qualified students at the university. If the university began offering merit scholarships to incoming students, how would we expect the difficulty of the program to change over the next few years? Demonstrate your answer with a graph.
d. The president of the university became so impressed with the rigor of the first honors program that she decides to double its size. Assuming that the larger program accepts applicants in the same way, what will likely happen to the standards of the expanded honors program? Demonstrate your answer with a graph.
e. Instead of expanding the first honors program, the faculty recommends introducing a whole new one. Suppose the first was an honors program in science. How would standards change for the science honors program if the new honors program were in math? How about art history? Explain your answers.
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