Location with exchange rate uncertainty: Consider the facility location formulation with fixed in- frastructure cost fi for plant i. Minimize [141 f;a; + 2l-1 2-1 CijXij 18 = s.t. [l1 Xij = d; = 2-1 Xij 0, a; E {0,1}. ai This formulation does not have the variable and parameter names that you are used to. You can guess that denotes the indicator variable for opening up plant i. a) What does C; denote, how many plant locations and markets are there in this formulation? b) Suppose that all of our plants and markets are in the same country except for plant 1. Since Plant 1 is in a foreign country, the production cost of producing there is random in terms of the currency of our home country. This production cost randomness makes the production plus transportation costs of the form C1; random. Despite this randomness, we need to decide on plants to operate now, next we will see the exchange rates and then we will determine the production/transportation quantity Xij. Is the production/transportation decision anticipatory with respect to exchange rate random- ness? Is plant location decision anticipatory with respect to exchange rate randomness? c) Modify the formulation above to incorporate two exchange rate scenarios: low cost cf; and high cost c; that happen with equal probabilities. Alter anticipatory and nonanticipatory variables appro- priately