Problem $12-13$ Minimize this function using LINGO. If required, round your answers to three decimal places.

Minimizing this function without the global solver option turned on in LINGO gives X $=$ fill in the blank $1$

and Y $=$ fill in the blank $2$

for a value of

$.$ This is

minimum.

Now minimize this function using LINGO with the Global Solver option turned on$.$ If required, round your answers to three decimal places.

The optimal solution $($which is a

minimum$)$ is X $=$ fill in the blank $6$

and Y $=$ fill in the blank $7$

for and objective function value of fill in the blank $8$

$.$