A maximizing linear programming problem with constraints C1, C2, and C3 has been solved. The dual values associated with the problem are C1 = $2, C2 = $0.50, and C3 = $0. Which statement below is false?
A) One more unit of the resource in C1 would add $2 to the objective function value.
B) One more unit of the resource in C2 would add one more unit each of X and Y.
C) The resource in C3 has not been used up
D) The resources in C1 and in C2, but not in C3, are scarce.
E) All of the above are true.

Question

Quizplus · Accepted Answer

The statement "One more unit of the resource in C2 would add one more unit each of X and Y" is false because the dual value for C2 reflects the increase in the objective function value with an additional unit of the resource in C2, not the increase in the variable values. The correct statement would be "One more unit of the resource in C2 would increase the objective function value by $0.50." 
All the other statements are true based on the given dual values.

A Maximizing Linear Programming Problem with Constraints C1, C2, and C3