Formulate the problem

for different functions f_j, j = 1, . . . , 5, with values given in Table 9.2, as QPs or LPs, or, if you cannot, explain why. In our formulations, we always use x ∈ Rⁿ as the variable, and assume that A ∈ R^m,n, y ∈ R^m, and k ∈ {1, . . . ,m} are given. If you obtain an LP or QP formulation, make sure to put the problem in standard form, stating precisely what the variables, objective and constraints are.

Table 9.2

p = min f(x),