Abstract AlgebraProblem $1.$

For the Supply$-$Chain Problem, of Example $5,$ pp$\mathrm{.}19-20,$ see the Handout

from Luenberger$-$Ye$,$ consider $u_i-s_i=y_i$ and the following values of

the parameters:

$n=5,[p_1,p_2,p_3,p_4,p_5]=[1,2,4,7,10],r=2,C=18$

Solve the maximization problem and find the optimal value and the

corresponding values of the $x_i,y_i.$