can u solve these for me : Problem Solving:

a$)$ A work center works $120$ hours and the actual work produced goods equal tol$00$ hours of work. The performance manager asks you to calculate the utilization hours of the work center. What is the utilization of the work center?

b$)$ A work center produces $120$ units in a shift. The standard for that item is $100$ units a shift. What is the efficiency of the work center?

c$)$ A work center operates $320$ hours of the $400$ hours available. During that time, they produced output equivalent to $300$ hours of work. Calculate productivity.

d$)$ An order for $50$ of a product is processed on work centers $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash ).$ The setup time on A is $30$ minutes, and the run time is $4$ minutes per piece. The setup time on $\backslash ($ B $\backslash )$ is $20$ minutes, and the run time is $3$ minutes per piece. Wait time between the two operations is $6$ hours. The move time between A and B is $50$ minutes. Wait time after operation B is $5$ hours, and the move time into stores is $3$ hours. There is no queue at any workstation. Calculate the total manufacturing lead time for the order.