Calculation Problem Directions: Show all your work, including formulas used to for full credit

for these questions.

$(70$ points$)$

The assembly activities of a new product must follow the precedence restrictions shown in

the figure below. Task times $($in minutes$)$ are shown above each task node and the cycle

time for the production of this product has been set at $40$ minutes.

a$)$ List three $(3)$ possible orders in which tasks $A$ to $K$ could be performed on an assembly

line.

b$)$ Find a lower bound on the number of workstations required for an assembly line for

this product.

c$)$ Balance the line using the Ranked Positional Weight Technique.

d$)$ Do you think your solution is optimal? Provide an explanation for your answer.

Note:

Be sure to show details of how you obtained tasks assignments to stations using the

line balancing technique under consideration. Simply stating Station $1$ has tasks $1,3$

& $5$ for example will result in a penalty on your grade.

$(20$ Points$)$