The Department of Health needs to distribute HIV test kits from its 7 regional offices (RO) to 11 syringe exchange programs (SEPS) across New York. Each syringe exchange program (SEP) submitted its requested number of HIV test kits to the Department of Health, and the Department of Health regional offices have sufficient supplies to distribute. Each SEP location needs to receive the exact number of boxes that they request. There are different costs to ship the boxes of HIV test kits from each regional office (RO) to each SEP. The Department of Health wants to minimize the total cost to distribute HIV test kits across the state. The LP Model tab of the Excel spreadsheet contains a table that shows the cost to ship each box of HIV test kits from the 7 regional offices to the 11 SEPS. Number of Boxes of HIV Testing Kits Requested and Available for Distribution Supply: Boxes Available Demand: Boxes Requested Available Syringe Exchange Program ACR Health AIDS Center for Queens County BOOM! Health Project Safe Point Evergreen Health Services Harlem United Community AIDS Center Safe Horizon Southern Tier AIDS Program Trillium Health VOCAL-NY Washington Heights Corner Project Requested 15 90 80 20 25 100 75 15 15 60 65 Regional Office Albany Syracuse New York City Central Islip New Rochelle Buffalo Rochester 175 10 100 150 50 50 25 In the space below, write down the objective function using mathematical notation Use the following notation for your variables: C = total shipping costs Cii= cost of shipping a box of HIV testing kits from regional office i (RQ;) to syringe exchange program j (SEP.;) Tii= number of boxes of HIV testing kits shipped from regional office i (ROI) to syringe exchange program j (SEP..)