The Number of Students Needed for Undecided Programs at a College from the Supply-Chain Viewpoint

Table 2

Solutions obtained by Lagrangian methods.

ASL	𝑇^∗	𝑆^∗3	𝑆^∗6
𝛾≤7𝑏28𝑏1	(14𝛾𝑏1𝑏2)	27(14𝛾𝑏1𝑏2)	27(14𝛾𝑏1𝑏2)
7𝑏28𝑏1𝑏≤𝛾≤1−^28𝑏1	2𝛾𝑏1𝑏+7^24	𝑟𝑏1+𝑏28	𝑏2
𝑏𝛾≥1−^28𝑏1	2(𝑏1+𝑏2)−(2(1−𝛾)𝑏1𝑏2)	𝑏2	𝑏2