Consider a small furniture company in Thousand Oaks. Let’sassume that they use three resources in production of chairs andtables. X1 = # of chairs and X2 = # of table. MAX         5X1 +7X2        ...

Consider a small furniture company in Thousand Oaks. Let’s assume that they use three resources in production of chairs and tables. X1 = # of chairs and X2 = # of table.

MAX         5X1 + 7X2

        Subject to :

X1 ? 6          Material 1

2X1 + 3X2 ? 19      Material 2

X1 + X2 ? 8        Labor

X1, X2 ? 0

Use the above graph to answer the following:

a) Show the feasible region on the graph.

b) Which constraints are binding?

c) Show the optimal point on the graph, then solve and calculate the current optimal solution? Show your calculations in details.