Reconsider the Dewright Co$.$ case study as presented in Sections $17\mathrm{.}1$ and $17\mathrm{.}2.$ After further

reflection about the optimal solution obtained by using weighted goal programming,

management now is asking some what$-$if questions.

a$.$ Gary Lang wonders what would happen if the penalty weights in the rightmost column of

Table $17\mathrm{.}1$ were to be changed to $7,4,1,$ and $3,$ respectively. Would you expect the optimal

solution to change? Why?

b$.$ Tasha Johnson is wondering what would happen if the total profit goal were to be increased

to wanting at least $$140$ million $($without any change in the original penalty weights$).$ Solve

the revised model with this change.

c$.$ Solve the revised model if both Gary$$s and Tasha$$s changes are made