Please answer all parts ASAP

Business Decision Analytics under Uncertainty Fall 2022 Assignment 1 Please show your entire work with brief, but sufficiently detailed explanation. You can refer to the lectures to support your discussion. You can use a graphing calculator or computer software to visualize the question when applicable. Submit your work on Canvas as a single Word document; handwritten answers are not accepted. To help grading and adding comments, do not convert your work into a pdffile[s]. Question 1 (4|) points) You assist your client to select a location x : (xi , 3(3) for a service facility that will serve K : 5|) customers by providing a single (identical) commodity to each customer. The facility can be located anywhere within the unit square 0 s x. S l, 0 S x; s l (which can model e.g., a [0 km by [0 km rectangular region scaled to the unit square). The customers are modeled as points pk : (pk, , Pkg) for k = l, , K located within the unit square. Each customer's yearly demand is assumed to be a known value. and we assume that all demands are satisfied. However, customers are assumed to be of different relative \"weight\