A wood products firm uses available time at the end of each week to make goods for stock. Currently, two products on the list of items are produced for stock: a chopping board and a knife holder. Both items require three operations: cutting, gluing, and finishing. The manager of the firm has collected the following data on these products:
TIME PER UNIT (minutes)
Item Profit/Unit Cutting Gluing Finishing
Chopping board $2 1.4 5 12
Knife holder $6 0.8 13 3
The manager has also determined that, during each week, 56 minutes are available for cutting, 661 minutes are available for gluing, and 360 minutes are available for finishing.
a. Determine the optimal quantities of the decision variables. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places)
b. Which resources are not completely used by your solution? How much of each resource is unused?(Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places)