Part B$.$ Chapter $14$ Resource Management

David Christopher is an orthopedic surgeon, who specializes in three types of surgery $-$ hip, knee, and ankle replacements. The surgery mix is $40$ percent hip replacement, $50$ percent knee replacement, and $10$ percent ankle replacement. Partial bills of materials for each type of surgery are shown in the following information.

Hip Replacement

Surgical kits #$203$ & #$428$

Hip part package #A

Knee Replacement

Surgical kit #$203$

Knee part package #V

Ankle Replacement

Surgical kit #$108$

Ankle part package #P

Patient's blood type $-6$ pints Patient's blood type $-4$ pints Patient's blood type $-3$ pints

a$.$ Given that Dr$.$ Christopher is scheduled to do $5$ hip replacements, $3$ knee replacements, and $1$ ankle replacement next week, how many surgical kits and part packages of each type should the hospital have available next week?

b$.$ How many total pints of blood are needed for next week?

c$.$ Design a "mistake$-$proof" system to ensure each patient gets the correct blood type.

d$.$ What are the implications of a shortage $($stockout$)$ of a surgical kit or part package discovered several hours before the operation? What if a part package has a missing part that is not discovered until surgery begins?