3.  Hands-on is a company that features a product line of winter gloves for the entire family— men, women, and children.  They want to decide what mix of these three types of gloves to produce.  

The Hands-on’s manufacturing labor force is unionized.  Each full-time employee works a 40-hour week.  In addition, by union contract, the number of full-time employees can never drop below 20.  Nonunion, part-time workers also can be hired with the following union-imposed restrictions:

(1) Each part-time worker works 20 hours per week, and;  

(2) There must be at least two full-time employees for each part-time employee.

In terms of the manufacturing process, all three types of gloves are made out of the same 100 percent genuine cowhide leather.  Hands-on has a long-term contract with a supplier of the leather and  receives a 5,000 square-foot shipment of material each week.  The material requirements and labor requirements, along with the gross profit per glove sold (Not considering labor costs), are given in the following table below: