Bright Homes plc has warehouses in three different locations, L 1 , L 2 and L 3,

Question:

Bright Homes plc has warehouses in three different locations, L₁, L₂ and L_3, for making replacement windows. There are three different styles, called ‘standard’, ‘executive’ and ‘superior’:

standard units require parts B, C and D; executive units require parts B, C, D and E; superior units require

The parts A, B, C, D, E and F are made from components a, b, c, d, e, f, g, h and i as follows:

A is made from {a,b,c} B is made from {c, d, e, f} C is made from {c, e, f, g, h} D is made from {b, e, h} E

(a) If the universal set is the set of all components {a, b, c, d, e, f, g, h, i}, write down the following:

C, BUC, BNC, ANBOD, AUF, DU(ENF), (DUE) OF

(b) New parts B ∪ C, C ∪ E and D ∪ E ∪ F are to be made; what are their components?

(c) Standard units are made at L₁, L₂ and L₃. Executive units are made at L₁ and L₂ only. Superior units are made at L₃ only. What basic components are needed at each location?