The cost of 1 unit of electricity during a 4 year period is given below. Year 1, S1 per unit Year 2 $1.5 per unit Year 3, $1.2 per unit. Year 4. 52 per unit if a factory spent
equal dollars each year for electricity what was the average cost of a unit of electricity during the 4 year period?
$ 1333
$1.250
$1.425
$1.175
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Answer:
$1.333
Step-by-step explanation:
choose a number, which is LCM of all four, say 6 here..
how much can you purchase
Year 1, $1 per unit; ---- 6/1=6 units
Year 2, $1.5 per unit; -- 6/1.5=4 units
Year 3, $1.2 per unit; -- 6/1.2=5 units
Year 4, $2 per unit. ---- 6/2=3 units...
total units = 6+4+5+3=18 units..
cost incurred = 6*4=24..
avg cost= 24/18=1.333
The average cost of a unit of electricity during 4 year period is $1.333.
The cost of 1 unit of electricity during a 4 year period is given below ;
- Year 1, $1 per unit
- Year 2, $1.5 per unit
- Year 3, $1.2 per unit
- Year 4, $2 per unit.
If a factory spent equal dollars each year for electricity, what was the average cost of a unit of electricity during the 4 year period.
Let each year the factory were spending $ x.
factory use unit of electricity
for 1st year = x/1 = x units
for 2nd year = x/1.5 = 2x/3 units
for 3rd year = x/1.2 = 5x/6 units
for 4th year = x/2 units
now total units of electricity consumed by the factory = x + 2x/3 + 5x/6 + x/2 = (6x + 4x + 5x + 3x)/6 = 3x units
total cost paid by the factory = x + x + x + x = $ 4x
∴ average cost of electricity = total cost/total units
= 4x/3x = 4/3 = 1.333