Given the following function for a LP model:

Maximize Profit $($$$)$: Z $=16x+20Y.$

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?

It will increase by $$3$

More information is required to answer this question

It will decrease by $$3$

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

it will increase by $$15$

it will increase by $$12$

It will decrease by $$12$

it will decrease by $$15$