Assignment #$2$

Nam$$

Line Balancing Problem

You are asked to perform an evaluation of a sequential assembly process that runs for $480$ minutes per day. Operator #$1$ performs an operation that has a standard time of $3\mathrm{.}4$ minutes and total compensation package is $$14\mathrm{.}90/$hour$.$ Operator #$2$ performs an operation that has a standard time of $2\mathrm{.}7$ minutes and total compensation package for this operator is $$\frac{16\mathrm{.}50}{?}$ hour. Operator #$3$ performs an operation that has a standard time of $5\mathrm{.}3$ minutes and total compensation package for this operator is $$\frac{19\mathrm{.}25}{?}$ hour. Operator #$4$ performs an operation that has a standard time of $6\mathrm{.}4$ minutes and total compensation package for this operator is $$15\mathrm{.}50/$hour$.$ Operator #$5$ performs an operation that has a standard time of $7\mathrm{.}2$ minutes and total compensation package for this operator is $$\frac{21\mathrm{.}75}{?}$ hour. Operator #$6$ performs an operation that has a standard time of $5\mathrm{.}8$ minutes and total compensation package for this operator is $$16\mathrm{.}50/$hour$.$ Operator #$7$ performs an operation that has a standard time of $7\mathrm{.}3$ minutes and total compensation package for this operator is $$\frac{19\mathrm{.}80}{?}$ hour.

If there is only one operator per position, what is the bottleneck operation?

What is the efficiency of this system with one operator per position?

What is the total daily production of this system with one operator per position?

What is the total labor cost per unit of this system with one operator per position?

With one operator per position, at what locations will work$-$in$-$process $($WIP$)$ build up over time?

If the total production of the system needs to be $2000$ parts$/$day how many operators are needed per operation?

What is the bottleneck of this new system?

At what locations will work$-$in$-$process $($WIP$)$ build up over time in this new system?

At steady state, what is the total daily production of this new system?