Question 4 A store is offering a discount on 800 pairs of basketball shoes in Singapore. The amount of the discount varies and is not revealed to the customer until checkout. The following table shows the potential areas for home delivery service covered by each store. Store Location Potential Areas Covered 3, 4, 6, 8 (a) (b) Fomiulate an integer programming model that could be used to nd the minimum number of stores to open in order to cover customers of all areas for the home delivery service. (15 marks) Discuss whether the solution of the integer programming problem could be obtained by rounding the solutions generated from the relaxed linear optimization problem. (Your answer shall not exceed 150 words.) (10 marks)