$1-)$Write the mathematical model of the question. Also, apply the same model in the GAMS.

Mole$-$Sun Brewing Company is evaluating six candidate location; Montreal, Plattsburgh, Ottawa, Albany, Rochester, and Kingston for a new brewery. The two critical, three objective and four subjective factors that management wishes to incorporate in its decision making are summarized in the table below. The weights of the subjective factors are also provided in the table. Determine the best location if the objective factors are to be weighted $0\mathrm{.}4($i$.$e$.\backslash$alpha $=0\mathrm{.}4).$