Instructions: This homework set has 2 Problems. The total credit for this homework set is 20. Please write down your name, ID, and section number on the upper-right corner of the paper. Problem 1: (10 Points) Northwoods Backpackers is a retail catalog store in Vermont that specializes in outdoor clothing and camping equipment. Phone orders are taken each day by a large pool of computer operators, some of whom are permanent and some temporary. A permanent operator can process an average of 76 orders per day, whereas a temporary operator can process an average of 53 orders per day. The company averages at least 500 orders per day. The store has 10 computer workstations. A permanent operator processes about 1.5 orders with errors each day, whereas a temporary operator averages 4.1 orders with errors daily. The store wants to limit errors to 24 per day. A permanent operator is paid $81 per day, including benefits, and a temporary operator is paid $50 per day. The company wants to know the number of permanent and temporary operators to hire to minimize costs. Formulate an integer programming model for this problem. Problem 2: (10 Points) Given the following network, with activity times in months. For each activity, the above number shows the activity number, and the number below shows the activity time. 2 2 Activity number Start! 6 Activity time 1 (a) Please find the all of the paths. (6) Which path is the critical path? (c) How long is the project duration