A firm makes a basic scissors consisting of three parts: the left side, the right side, and the screw that holds the sides together. At the present time, the firm has the following numbers of parts on hand and on order. The lead times for reorder of each part are also shown along with a BOM and a sketch of the scissors.

On Hand Weeks of

Lead Time Scheduled Receipts

Scissors $1001$

Left side $502100$ in week $2$

Right side $752200$ in week $2$

Screw $3001200$ in week $1$

a$.$ Assume the master schedule calls for $200$ scissors to be shipped in week $4$ and $500$ in week $5$; work out a complete materials plan using L$4$L$.$

Enter only the planned order releases for each part. Enter $0$ if there are no planned order releases for a given part in a particular week.

b$.$ Suppose the supplier of right$-$hand sides calls to say that deliveries of the $200$ parts on order will be one week late. What effect will this have on the materials plan?

multiple choice

there will be a shortage of scissors in week $4$

there will be a shortage of scissors in week $5$

there will be a shortage of scissors in week $3$

no effect

c$.$ If demand for scissors is uncertain and has a standard deviation of $50$ units, what would you recommend the firm do to maintain a $95$ percent service level for scissors? $($Round your answer to the nearest whole number$)$

d$.$ If the delivery of the scissors parts is unreliable and the standard deviation of delivery lead time is one week for each of the parts, what would you recommend the firm do to maintain its production schedule?