a) Discuss the application functions in business (6 marks)
b) Solve the following set of functions using matrix algebra inverse method
X1 + 3X2 + 3X3 = 37
X1 + 4X2 + 3X3 = 47
X1 + 3X2 + 4X3 = 50 (9 marks)
QUESTION FOUR
a) Using examples demonstrate the meaning of the following concepts
i. Union of sets (2 marks)
ii. Intersection of set (2 marks)
iii. Compliment of a set (2 marks)
iv. A disjoint (2 marks)
b) A music shop specializes in organs and various other keyboard machines. Many modern machines have MIDI, and any machine can either be portable or fixed. The shop also stocks second hand machines. Part of the managers quarterly report, reflecting the stock position, reads: “Currently, 62 machines are in stock of which 16 are second hand. New portable machines in total, 28 having MIDI. We currently have no fixed, second hand MIDIs or non-MIDI, second-hand portables.
i. Have MIDI?
ii. Are new portables?
iii. That are new and fixed, do not have MIDI?
iv. Are second hand, portable MIDIs? (7 marks)
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