We consider a simplified process for handling a Request for Quote (RFQ) for custom-made metal products at a company called MetalWorks. The process model including processing times and branching probabilities is shown in the below model. There are two production sales engineers dedicated to this process and one production manager. The production sales engineers work dedicate up to 32 h per week to this process (each) while the production manager can only dedicate up to 18 h per week to this process. Calculate the theoretical capacity of each of these two resource pools. Which of the pools is the bottleneck pool?

Sales Production Engineer 2 hours 3 hours 2 hour 1 hour Request declined No (10%) Sales Production Engineer Assess project profitability Yes X Accept quote? Prepare production plan + Estimate material costs + Prepare and submit quote Quote MetalWorks new Request for Quote submitted Production Manager 2 hours Production Manager Estimate labor costs