We have that the new bulb 's Price is P is mathematically given as
P= $100.68
Generally the Arithmetic equation for the life time of new bulb is mathematically given as
life time = old bulb life / (usage per 24 x 365)
Therefore
L= 14,600 / (19 x 365)
L= 2.10 years
Where
old bulb=(2 x 45.9) (1 + 15/100)2.10 x 2 + 16
Old bulb=$181.11
After tax
tax = 181.11(1 - 40%)
tax= $108.66
Therefore
the new bulb 's Price is P
108.66 = P x (1.7986) x (0.6)
P= $100.68
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