A small manufacturer has two plants located in New York and Ohio. It is possible to produce
Question:
A small manufacturer has two plants located in New York and Ohio. It is possible to produce any of the three products A, B, and C at either of the two plants. The gross profit without labor cost from products A, B, and C is $35, $45, and $55 per unit respectively. Products A, B and C require 2.0, 3.5 and 4.0 hours of labor respectively. Similarly, these products require 1.5, 2.9, and 3.4 hours of machine time respectively. In New York the firm has 2000 hours of labor and 2500 hours of machine time available next month. In Ohio, the capacities are 4000 hours of labor and 4000 hours of machine time. The sales department estimates that the maximum monthly sales of each product can be 800, 900, and 700 units respectively. The labor cost in Ohio is $11 per hour and in NY it is $12 per hour. The human resource department wants the total labor hours used in Ohio to be twice the labor hours used in NY. Solve this linear programming problem to determine the production plan, which will maximize the profit.
How many decision variables do we have? ______3_______
Define one of the decision variables and list the symbols for others.
What is the optimal solution?
Explain the meaning of dual values:
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair