The problem is:\

max_(xinx)[x_(1)+x_(2)].

\ where:\

x={xinR^(2):x_(1)^(2)+x_(2)

\ (a) Identify the set

x^(CQ)

of points

(x_(1),x_(2))

that meet the constraint qualification.\ (b) Identify the solution set for all

a>0

.\ (c) How does the solution set change with

a

?\ (d) Find the value function. Is it continuous? How does it vary with

a

?

2. The problem is: maxxX[x1+x2]. where: X={xR2:x12+x22andx1aR++}. (a) Identify the set XCQ of points (x1,x2) that meet the constraint qualification. (b) Identify the solution set for all a>0. (c) How does the solution set change with a ? (d) Find the value function. Is it continuous? How does it vary with a