Mathematical Programming Models for Determining Freshman Scholarship Offers

Cover Mathematical Programming Models for Determining Freshman Scholarship Offers
Mathematical Programming Models for Determining Freshman Scholarship Offers
Leon S Leon Seligsberger White
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0 . f^(l|u^) 0. 5 nf^^ ^, 1 - 12 - Assuming the validity of conditions 1 through 4 above, it does not seem unreasonable to postulate a linear form for f. (1 | u ) as a satisfactory approximation to its actual shape. Thus, we shall let (4. 1) f^(l I u^) = a^ + b^u^ < u^ i n^ - e^. We further assume that the parameters a and b can be estimated for all members of the need group. The parameter a represents the proba- bility that needy admit i will enroll given that he is offered max (n - e, 0) dollars in non-scholarship aid over and above the scholarship aid offered from outside sources. Letting d^ = max (n^ - e^, 0) and considering a as a function of d and i it would seem possible that a set of equi-probability curves such as illustrated in Figure 4. 2 could be developed from which to estimate values for any set of a 's. i 1 200 T 1 r iM)0 600 800 1000 1200 lUOO direction of increasing probability Figure k. Z - 13 If a, were considered to be a function of d only, then it might be reasonable to assume that a, and d.

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