Given the following function for a LP model:

Maximize Profit $($$$)$: Z $=7$X $+10$Y$.$

Assume that the optimal solution is X $=5,$ Y $=2,$ which makes Z $=$ $$55.$

If the objective coefficient for X is changed to $6.$ Assume that this does not affect the solution, what is the impact on the objective value?

$$It will decrease by $$5$

$$it will increase by $$30$

$$it will increase by $$3$

$$More information is required to answer this question

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

$$It will decrease b$$ $$3$

$$It will increase by $$5$

$$it will decrease by $$30$