Given the below table generated by Excel Solver's sensitivity analysis:

What will happen to the objective value if the Steel availability is increased by $15$ tons?

Constraints

Final

Shadow

Constraint

Allowable

Allowable

Cell

Name

Value

Price

R$.$H$.$ Side

Increase

Decrease

$G$$10$

Heating time $($minutes$)$

$300$

$0$

$400$

$1$E$+30$

$100$

$G$$11$

Steel Availability $($tons$)$

$400$

$3$

$400$

$200$

$50$

$G$$12$

Wood Availability $($tons$)$

$500$

$0$

$600$

$1$E$+30$

$100$

$G$$13$

Packaging time $($minutes$)$

$700$

$2$

$700$

$300$

$200$

Question $5$ options:

We need the variable cells table to determine what will happen to the objective value

Objective value will decrease by $45$

Objective value will increase by $45$

Objective value will decrease by $3$

We do not know what will happen to the objective value

Objective value will increase by $400$

Objective value will increase by $3$

Objective value will remain the same

Objective value will decrease by $400$