Chapter 6.2, Problem 49E

In Problems 41-56, construct a mathematical model in the form of a linear programming problem. (The answer in the back of the book for these application problems include the model.) Then solve the problem using the simplex method. Include an interpretation of any nonzero slack variables in the optimal solution.

Home building. Repeat Problem 47 if the profit on a colonial house decreases from $\text{\$}20,000$ to $\text{\$}17,000$ and all other data remain the same. If the slack associated with any problem constraints is nonzero, find it.