Given the following function for a LP model:

Maximize Profit $($$$)$: Z $=5$X $+25$Y$.$

Assume that the optimal solution is X $=2,$ Y $=1,$ which makes Z $=$ $$35.$

If the objective coefficient for X is changed to $4.$ Assume that this does not affect the solution, what is the impact on the objective value?

Question $5$ options:

It will decrease by $$2$

it will increase by $$8$

It will increase by $$2$

More information is required to answer this question

It will decrease by $$10$

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

it will increase by $$10$

it will decrease by $$8$