Q2. Integer Programming Kim's Kitchen makes Signature Sandwich Combos to famous restaurants worldwide. In order to meet demand, they are considering setting up a facility in each region in order to achieve lower transportation cost and to possibly avoid duties that could be imposed if the product is imported from another region. The disadvantage of this approach is that factories are sized to meet local demand and may not fully exploit economies of scale. Therefore, Kim's kitchen is also interested in determining the appropriate size of the facility to build in each location and are choosing between facilities with capacities of 3, 6 or 12 million. Demand Region Production and Transportation Cost per One Million Units Low Medium High Capacity Capacity Capacity Supply North Jurassic Dizzney Fixed Fixed Fixed Region Corea Land Land Cost Capacity Cost Atlantis Cost Capacity Capacity North 25 60 81 42 1000 3 1200 2200 12 Corea 12 70 32 21 1500 3 2500 6 3500 12 Attlantis Juurassic 15 45 17 23 2000 3 3000 6 4000 12 World Dimney 21 16 31 27 1800 3 2800 6 3600 12 Land 9 12 15 6 th Demand - the amount ship from supply region i to demand region/ 6-0,45 1-0... 4,51 Y. - If you select facility in supply region low pery M Medium Capacity High Capacity Answer to the question a, b, c, d, e, f. QUESTIONS Q2-(c) With given decision variables, choose the right objective function. "If high capacity facility is built in Dizzney Land, then medium-capacity must be built in North Corea as well." O AYAH Y1M BY4H + Y1M = 1 OCY4H + Y1L = 1 D.YAH SY1M QUESTIONS Q2-(d) With the given decision variables, find the right constraint for the following statement. "If medium capacity facility is built in Attlantis, then at least one low or high capacity must be built in North Corea as well." AY2L SY1M+Y1H EY2Ms Y1L+Y1H O CY2M - Y1L Y1H ODY2M=Y1L + Y1H