For a maximization problem, assume that a constraint is binding. If the original amount of a resource is $4lbs.,$ and the range of feasibility $($sensitivity range$)$ for this constraint is from $3lbs.$ to $6lbs.,$ increasing the amount of this resource by $1$

lb$.$ will result in the:

same product mix, different total profit

different product mix, same total profit as before

same product mix, same total profit

different product mix, different total profit

none of the above