PROBLEM STATEMENT 1. The Pyrotec Outfitters is a retail phone catalog company that specializes in outdoor clothing and equipment. Phone stations at the company will be staffed with either permanent operators or temporary (part-time) operators. Permanent operators, because of their experience and training, process more orders and make fewer mistakes than temporary operators. However, temporary operators are cheaper because they receive a lower wage rate and are not paid benefits. A permanent operator can process about 40 orders per week, whereas a temporary operator can process about 28 orders per week. A permanent operator averages 0.3 defective orders per week, and a temporary operator incurs about 0.5 defective orders per week. The company wants to limit defective orders to 50 per week. Because of the contract with the union, not more than 20% of operators can be temporary operators at any week. The cost of staffing a station with a permanent operator is $830 per week, and the cost of a station with a temporary operator is $480 per week. Using historical data and forecasting techniques, the company has developed estimates of phone orders for a 4-week period, as follows: Week 1 2 3 4 Orders 4800 5400 4600 5200 Due to the company's staffing policy, once a full-time operator is hired, the operator not be dismissed. The company wants to determine how many permanent and tempo operators to hire each week to exactly meet weekly demand while minimizing labor Define the decision variables (with units), and formulate a linear programming model f problem (algebraic model). (30 points)