Problem 1 (30 points) The United Packaging Company (UPC) is a manufacturer of corrugated fireboard shipping boxes used by companies across the United States. UPC is considering an additional plant in each of two cities to be selected among the following 10 cities. UPC has collected the fixed-cost and variable-cost data. The demand in each of the following cities is assumed to be unformly 45,000 units per year. location Atlanta, GA Baltimore, MD Chicago, IL Denver, CO Indianapolis, IN Kansas, MO Los Angeles, CA Minneapolis, MN New York, NY Orlando, FL per unit cost fixed cost materials per year variable labor overhead $210,000 S0.20 $0.40 $0,40 $180,000 S0.40 $0.40 $0.50 $170,000 $1.00 $1.00 $1.00 $210,000 S0.40 $0.30 $0.40 $230,000 $0.50 $1.20 $0.80 $180,000 S0.40 $0.60 S0.20 $200,000 S0.20 $0.50 $0.60 $230,000 $0.30 $0.30 S0.30 $196,000 $0.60 $0.80 $0.40 $230,000 $0.20 $0.50 $0.50 Assume that the unit price is $20. QI. Select the best city in terms of the maximum profit and show the maximum profit. Q2. Select the second best city and show the profit