Question: A company produces three types of gloves: men’s, women’s, and children’s gloves. You are asked to write an algebraic linear programming formulation to determine how many pairs of each type of glove to make. Note that you are not required to solve this problem, or to even enter it into excel. You need to only write the algebraic formulation. Here are more details.

The labor to make the gloves has not yet been hired so that part of the problem, in addition to determining what to produce, is to determine how many employees to hire. A full-time employee works 40 hours per week. And union requirements state that the number of full-time employees must be at least 20. Part-time employees may also be hired. The part-time employees work 20 hours per week. An additional union requirement is that there must be at least two full-time employees hired for each part-time employee hired.

The gloves are made of leather, and the company already has a contract for 5000 square feet of leather. The table below shows the amount of leather and the labor required to make a pair of each type of glove. The table also shows the gross profit , not including labor costs, for each product.

Each full-time employee is paid $13 per hour and each part-time employee is paid $10 per hour. The company wants to know the number of pairs of each type of glove to produce, as well as the number of employees (fulltime and part-time) to hire. The goal is to maximize net profit , which is their gross profit minus their labor costs of hiring the employees.

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document