Given the following optimization problem:
Minimize: F=10+X1+X2
Subject to: g1=5-X1-2X2<=0
g2=1/X1+1/X2-2<=0
a. Plot the two-variable function space showing contours of F=10,12, and 14 the constraint boundaries g1=0 and g2=0
b. Identify the feasible region.
c. Identify the optimum for positive values of X1 and X2