3. Baba Furniture Company employs four carpenters for 10 days to assemble tables and chairs. It takes 2 person-hours to assemble a table and .5 person-hour to assemble a chair.

Customers usually buy one table and four to six chairs. The prices are $135 per table and

$50 per chair. The company operates one 8-hour shift a day.

(a) Determine the 10-day optimal production mix.

(b) If the present unit prices per table and chair are each reduced by 10%, use sensitivity analysis to determine if the optimum solution obtained in

(a) will change.

(c) If the present unit prices per table and chair are changed to $120 and $,25, will the solution in

(a) change?