What would happen to the optimal solution if the capacity for Activity $1$ were to decrease to $10,000$ units?

a$.$

The decision variable values would remain the same, but the objective function value would decrease by $$46,000($shadow price times units decreased$)$

b$.$

The decision variable values would change, and the objective function value would decrease by $$46,000($shadow price times units decreased$)$

c$.$

Since it is outside of the allowable range, the problem would need to be re$-$solved

d$.$

Nothing $-$ the optimal solution would remain the same