Given the following function for a LP model:

Maximize Profit $($$$)$: Z $=6$X $+20$Y$.$

Assume that the optimal solution is X $=3,$ Y $=1,$ which makes Z $=$ $$38.$

If the objective coefficient for X is changed to $5.$ Assume that this does not affect the solution, what is the impact on the objective value?

Question $2$ options:

It will decrease by $$12$

It will increase by $$3$

it will increase by $$12$

More information is required to answer this question

It will decrease by $$3$

it will decrease by $$15$

it will increase by $$15$

The solution remains the same, so there will be no change.$$