Problem $3($Excel$)$

Solve the following goal programming model

using the computer:

$minimize{P}_1{d}_1^{-}+P_1{d}_1^{+},P_2{d}_2^{-},P_3{d}_3^{-},3P_4{d}_2^{+}+5P_4{d}_3^{+}$

subject $to\{\begin{array}{c}{x}_1+x_2+d_1^{-}-d_1^{+}=800\end{array}$

$5x_1+d_2^{-}-d_2^{+}=2,500$

$3x_2+d_3^{-}-d_3^{+}=1,400$

$x_j,d_i^{-},d_i^{+}0$