Consider the objective function to maximize profit:

Max $2A+B$

S$.$T$.$:

Constraint $1A+B3\mathrm{.}5$

Constraint $2A-B1\mathrm{.}5$

non$-$negativity $A,B0$

Assume the optimal solution is $A=3\mathrm{.}5$ and $B=0.$ Which of the following is FALSE?

If we set A and $B$ to be integers, the new total profit will increase

If A and $B$ are continuous, the total profit is $7$

If we set A and $B$ to be integers, the optimal solution $)$ is not feasible

If we set A and $B$ to be integers, Excel's SOLVER will not generate the Sensitivity Report