in simple terms of lp with constraint decision variable and objective value

2. (10 points) CDC is opening four warehouses: Binghamton, Syracuse, Rochester, and NYC. Each warehouse can ship 100 COVID-19 testing units per week. The weekly fixed cost of keeping each warehouse open is $150 for Binghamton, $200 for Syracuse, $250 for Rochester, $500 for NYC. Region 1 in NYS requires 100 units, region 2 requires 80 units, and region 3 requires 60 units every week. The production and shipping costs of sending one unit from a warehouse to each region are shown in the table below. Formulate an IP that can be used to minimize the weekly costs of meeting demand, subject to the preceding information and the following restrictions: (a) If the NYC warehouse is opened, then the Syracuse warehouse must be opened (b) At most two warehouses can be opened (c) Either the Rochester or the Syracuse warehouse must be opened Region 3 To ($) Region 1 Region 2 20 48 10 50 26 NYC Syracuse Rochester Binghamton 5035