The Omega Manufacturing Company has discontinued the production of a
The Omega Manufacturing Company has discontinued the production of a certain unprofitable product line. This act created considerable excess production capacity. Management is considering devoting this excess capacity to one or more of three products; call them products 1, 2, and 3. The available capacity on the machines that might limit output is summarized in the following table:
The number of machine hours required for each unit of the respective products is
The sales department indicates that the sales potential for products 1 and 2 exceeds the maximum production rate and that the sales potential for product 3 is 20 units per week. The unit profit would be $50, $20, and $25, respectively, on products 1, 2, and 3. The objective is to determine how much of each product Omega should produce to maximize profit.
(a) Formulate a linear programming model for this problem.
C (b) Use a computer to solve this model by the simplex method.
Membership TRY NOW
  • Access to 800,000+ Textbook Solutions
  • Ask any question from 24/7 available
    Tutors
  • Live Video Consultation with Tutors
  • 50,000+ Answers by Tutors
OR
Relevant Tutors available to help