Recall the only example about goal programming we discussed in class, now the manager changed his mind and he would like to add approximately $3$ small, $12$ medium and $10$ large conference rooms and also wants the total expansion to be approximately $28,000$ square feet and to limit the cost to $$1,000,000.$

Assume

It is undesirable to underachieve any of the first three room goals

It is undesirable to overachieve the $28,000$ sq ft

expansion goal

It is undesirable to overachieve or underachieve the $$1,000,000$ total cost goal

Please apply the goal programming to formulate the algebraic model $($Please clearly define the decision variables, write down the objective function and all constraints. Deviations needs to be normalized to percentage. You do not need to solve it$)$