A wood products firm uses leftover time at the end of each week to make goods for stock. Currently, there are 2 products on the list of items that 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:

Chopping board Profit per unit: $2 Cutting: 1.4

Gluing: 5 Finishing: 12

Knife holder: Profit per unit: $6 Cutting: .8 Gluing: 13 Finishing:3

The manager has also determined that during each week 56 minutes are available for cutting, 650 minutes are available for gluing and 360 minutes are available for finishing.

A. Formulate this problem as a linear programming model.

B. Determine the optimal quantities of the decision variables.

C. Which resources are not completely used by your solution? How much of each resource is unused?