PEA 2015

[shruti malhotra]

can someone help me with q.2o
thanks:)

[duck]

Hi :)

We can re-write the function as :

f(x) = 2x - a1 - a2 for x < a1 (positively sloped)
      = a1 - a2 for a1 ≤ x ≤ a2 (constant)
      = a1 + a2 - 2x for a2 < x (negatively sloped)

Attached is the graph of the function. Clearly, set of maximizers : x ∈ [a1, a2]


Thanks