The hybrid distance learning model

Cumulative teaching effectiveness (CTE) is the sum of the teaching effectiveness of all class periods.

 CTE = TE(n) + TE(n-1) + ... + TE(1)
     = ITE(n) + (1+a) ITE(n-1) + (1+a+a*2) ITE(n-2)+ (1+a+a*2+...a*(n-1)) ITE(1)
Design Problem: Select the degree of interaction of each class period DOI(i) such that cumulative teaching effectiveness CTE is maximized, subject to the constraints that 1) the teaching effective TE(n) for every class period is above a threshold b, and 2) the total cost of a class is below a threshold c.

Hypothesis: The distance learning strategy that achieves the maximum average teaching effectiveness with a cost constraint is the hybrid distance learning stragety.