solar panels cost per kw

Exam revision question please help?
Electricity supplied from the national grid cost 8p per KWh
A householder is considering installing solar cells. The household uses 4000KWh of electricity each year.
The cost of installing a solar cell panel is 6400 per KW
What is the payback time?
A> 4years
B> 8 years
C> 40years
D> 400years
My calculations make the answer 20years. This is an exam question. I am puzzled as to the answer.
Electricity supplied from the national grid cost 8p per KWh
A householder is considering installing solar cells. The household uses 4000KWh of electricity each year.
The cost of installing a solar cell panel is £6400 per KW
What is the payback time?
A> 4years
B> 8 years
C> 40years
D> 400years
My calculations make the answer 20years. This is an exam question. I am puzzled as to the answer.
The cost of the cells is based on the maximum power demand and not on
the average energy demand per year. It depends on how much one intends
to power up.
(Power) x (Time) = Energy = 4000 KWh
assuming for argument sake that you could get the maximum power rating
of the cell whenever it is used:
(01 KW) x [4000 hrs/year] = 4000 KWh/year
(05 KW) x [0800 hrs/year] = 4000 KWh/year
(10 KW) x [0400 hrs/year] = 4000 KWh/year
(20 KW) x [0200 hrs/year] = 4000 KWh/year
(30 KW) x [0133 hrs/year] = 4000 KWh/year
So the values for Power and Time can be anything so long as the product
is 4000 KWh.
Does Solar Make Cents? : Energy Value and Payback of Solar.
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