a$)$ Draw the influence line for:

a$.$ Reaction at $A$

b$.$ Reaction at $C$

c$.$ Reaction at $E$

d$.$ Moment at E

e$.$ Shear $5\text{'}$ to the right of $B$

b$)$ What are the maximum positive and negative moments that can be produced at $E$ from a live load of $5\frac{k}{f}t?$

c$)$ Repeat $2),$ but also considering a dead load $($self$-$weight$)$ of $12\frac{k}{f}t.$

d$)$ Reposition the hinge $B$ to any location between A and $C$ such that the moment produced at $E$ from the dead load is minimized.