IP-Computers assembles computers in three countries (the US, China, and Malaysia). The production capacities of the three aormibly plants are Assembly Capacity (computers, Facility in thousands) US China Malaysia 100 125 The company exports the computers to three other countries (Kons, Iran, and Ukraine). The demand at the different countries ade Demand (computers, in thousands) Country 200 Korea Iran Ukraine 220 100 The transportation cost in USS per computer between the amenibly facilities and the diferent countries are shown in the following table. Cells marked "NT" indicate that no tale exists between those two countries due to higher import/export taxes. For example China does no trade with Korea. Themefore, Korean demand is met either from the US or from Malaysia or from both US and Malaysia To (cost, in US $) Korea Iran Ukraine From US 13 NT 12 China Malaysia NT 14 7 10 8 The company wants to determine the minimum cost of shipments to s the demand requirements 1. Formulate this problem as a linear programming model and solve it ming Python 2. IP-Computers has estimated a shortage cost for each computer demanded but not applied that reflects the loss of future sales and goodwill from the different countries as follows Country Shortage Cost (in US 8 per computer Korea Iran Ukraine Resolve the problem by including the shortage cost in the calculations Compute the total transportation cost and the total and the total shortage cost 3. IP-Computers is considering expanding one of its facilities in order to meet the increasing demand for computers. The company has identified two alternative expand the China facility to a capacity of 145; or expand the Malaysia facility to a capacity of 178. The transportation costs will remain the same. Which option should the company st