A 60 W incandescent bulb costs $0.36 and lasts 1,000 hr; a 14 W CFL bulb costs $4 and lasts 10,000 hr; and a 9.5 W LED bulb costs $13 and lasts for 25,000 hr. At $0.15/kWh, A. Find the cost of using incandescent bulbs for 25,000 hr. (Note: the cost includes the initial cost of the bulbs plus the energy used for 25,000 hr.) B. Find the cost of using CFLS for 25,000 hr. How much money is saved over incandescent bulbs? C. Find the cost of using LEDS for 25,000 hr. How much money is saved over incandescent bulbs? 9.3
A 60 W incandescent bulb costs $0.36 and lasts 1,000 hr; a 14 W CFL bulb costs $4 and lasts 10,000 hr; and a 9.5 W LED bulb costs $13 and lasts for 25,000 hr. At $0.15/kWh, A. Find the cost of using incandescent bulbs for 25,000 hr. (Note: the cost includes the initial cost of the bulbs plus the energy used for 25,000 hr.) B. Find the cost of using CFLS for 25,000 hr. How much money is saved over incandescent bulbs? C. Find the cost of using LEDS for 25,000 hr. How much money is saved over incandescent bulbs? 9.3
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![### Exercise 9.3: Cost Analysis of Different Light Bulbs
**Problem Statement:**
A 60 W incandescent bulb costs $0.36 and lasts 1,000 hours; a 14 W CFL bulb costs $4 and lasts 10,000 hours; and a 9.5 W LED bulb costs $13 and lasts for 25,000 hours. At a rate of $0.15/kWh:
A. Find the cost of using incandescent bulbs for 25,000 hours. (Note: The cost includes the initial cost of the bulbs plus the energy used for 25,000 hours.)
B. Find the cost of using CFLs for 25,000 hours. How much money is saved over incandescent bulbs?
C. Find the cost of using LEDs for 25,000 hours. How much money is saved over incandescent bulbs?
---
#### Step-by-Step Solution:
**Part A: Cost of Using Incandescent Bulbs**
1. **Calculate the number of incandescent bulbs needed for 25,000 hours:**
\[
\frac{25,000 \text{ hours}}{1,000 \text{ hours per bulb}} = 25 \text{ bulbs}
\]
2. **Calculate the total cost of the bulbs:**
\[
25 \text{ bulbs} \times \$0.36 \text{ per bulb} = \$9.00
\]
3. **Calculate the energy consumption:**
\[
60 \text{ W} \times 25,000 \text{ hours} = 1,500,000 \text{ Wh} = 1,500 \text{ kWh}
\]
4. **Calculate the cost of the energy consumed:**
\[
1,500 \text{ kWh} \times \$0.15 \text{ per kWh} = \$225.00
\]
5. **Total cost of using incandescent bulbs for 25,000 hours:**
\[
\$9.00 + \$225.00 = \$234.00
\]
**Part B: Cost of Using CFL Bulbs**
1. **Calculate the number of CFL bulbs needed for 25,000 hours:**
\[
\frac{25,000 \text{ hours}}{10,000 \text{ hours per bulb}} = 2.5 \text](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf192c4a-3623-40a7-8b1d-18d623c8a61a%2F78599757-b5f6-4a31-b6fd-f3da573ff1a2%2Fxv272aq_processed.png&w=3840&q=75)
Transcribed Image Text:### Exercise 9.3: Cost Analysis of Different Light Bulbs
**Problem Statement:**
A 60 W incandescent bulb costs $0.36 and lasts 1,000 hours; a 14 W CFL bulb costs $4 and lasts 10,000 hours; and a 9.5 W LED bulb costs $13 and lasts for 25,000 hours. At a rate of $0.15/kWh:
A. Find the cost of using incandescent bulbs for 25,000 hours. (Note: The cost includes the initial cost of the bulbs plus the energy used for 25,000 hours.)
B. Find the cost of using CFLs for 25,000 hours. How much money is saved over incandescent bulbs?
C. Find the cost of using LEDs for 25,000 hours. How much money is saved over incandescent bulbs?
---
#### Step-by-Step Solution:
**Part A: Cost of Using Incandescent Bulbs**
1. **Calculate the number of incandescent bulbs needed for 25,000 hours:**
\[
\frac{25,000 \text{ hours}}{1,000 \text{ hours per bulb}} = 25 \text{ bulbs}
\]
2. **Calculate the total cost of the bulbs:**
\[
25 \text{ bulbs} \times \$0.36 \text{ per bulb} = \$9.00
\]
3. **Calculate the energy consumption:**
\[
60 \text{ W} \times 25,000 \text{ hours} = 1,500,000 \text{ Wh} = 1,500 \text{ kWh}
\]
4. **Calculate the cost of the energy consumed:**
\[
1,500 \text{ kWh} \times \$0.15 \text{ per kWh} = \$225.00
\]
5. **Total cost of using incandescent bulbs for 25,000 hours:**
\[
\$9.00 + \$225.00 = \$234.00
\]
**Part B: Cost of Using CFL Bulbs**
1. **Calculate the number of CFL bulbs needed for 25,000 hours:**
\[
\frac{25,000 \text{ hours}}{10,000 \text{ hours per bulb}} = 2.5 \text
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