Question

It seems hard to justify spending $\backslash (4.00$for a compact fluorescent lightbulb when an ordinary incandescent bulb costs $50¢$. To see if this makes sense, compare a $60\mathrm{W}$incandescent bulb lasting $1000$hours to a $15\mathrm{W}$compact fluorescent bulb having a lifetime of $10,000$hours. Both bulbs produce the same amount of visible light and are interchangeable. If electricity costs $\backslash )0.10/\mathrm{kWh}$, what is the total cost—purchase plus energy— to obtain$10,000$ hours of light from each type of bulb? This is called the life-cycle cost.

Short answer

For compact fluorescent lightbulb it will takes $\$4$cost.

But for ordinary bulb it will take$\$15.$

Step-by-step solution

Given information 

We have given,

compact fluorescent lightbulb power and hours = $(15\mathrm{W},10,000)$

ordinary incandescent bulb power and hours = $(60\mathrm{W},1000)$

Total electric cost =$\$0.10/\mathrm{kWh}$

We have to find the total energy and cost for to obtain $10,000$hours of light.

Simplify

For a ordinary bulb the total cost will be for$10,000$hours used,

$$\begin{gathered} 15\mathrm{W}\times 10,000\mathrm{hours}\times \$0.1 \\ =0.015\mathrm{KW}\times 10,000\times \$0.1 \\ =\$15 \end{gathered}$$

We can see for the same hours the ordinary bulb using the$\$15$instead of the$\$4.$