Baltimore Manufacturing Co. makes two products, tables and chairs, which must be processed through assembly and finishing departments. Each table requires 6 hours to assemble and 4 hours to finish, but each chair requires 3 hours to assemble and 5 hours to finish. Assembly department has 90 hours available, and finishing department can handle up to 80 hours of work. The company wants to see at least 4 chairs and at least 5 tables produced during the production. The production of table must exceed the production of chair. Each table yields a profit of $8, and each chair can be sold for a profit of $6.

a. Show the feasible region graphically (Draw a graph by using MS WORD's ‘Shapes' under the ‘Insert' tab).

b. What are the extreme points of the feasible region?

c. Find the optimal solution using the graphical method.

d. Are there any slack values? Are there any surplus values?

e. Compute the shadow prices of each constraint.