The Shadow Price for a Constraint That Expresses That the Availability

Multiple Choice

The shadow price for a constraint that expresses that the availability of wood is 3000 board-feet is $0.50, and the range of feasibility is between 2800 and 4000 board-feet.Which of the following is not correct?

A) All 3000 board-feet of wood will be used.
B) If only 2900 board-feet of wood are available, the optimal objective function value will be reduced by $50.
C) If only 2900 board-feet of wood are available, the optimal solution will not change.
D) If 6000 board-feet of wood are available, the objective function value will increase by at least $500.