Let's break down the problem step-by-step:
1. Identify the production rates of each machine:
- Machine 1: 200 plastic bottles per hour
- Machine 2: 18 plastic bottles per hour
- Machine 3: 150 plastic bottles per hour
2. Determine the duration of the shift:
- The shift lasts for 8.5 hours.
3. Calculate the total number of plastic bottles produced by each machine during the shift:
- Machine 1:
[tex]\[
\text{Production by Machine 1} = 200 \, \text{bottles/hour} \times 8.5 \, \text{hours} = 1700 \, \text{bottles}
\][/tex]
- Machine 2:
[tex]\[
\text{Production by Machine 2} = 18 \, \text{bottles/hour} \times 8.5 \, \text{hours} = 153 \, \text{bottles}
\][/tex]
- Machine 3:
[tex]\[
\text{Production by Machine 3} = 150 \, \text{bottles/hour} \times 8.5 \, \text{hours} = 1275 \, \text{bottles}
\][/tex]
4. Calculate the total production from all machines combined during the shift:
[tex]\[
\text{Total Production} = 1700 \, \text{bottles} + 153 \, \text{bottles} + 1275 \, \text{bottles} = 3128 \, \text{bottles}
\][/tex]
5. Compare the total production to the given answer choices:
A. 530
B. 538.5
C. 1,700
D. 4,240
E. 4,505
The correct answer is not listed among the provided options since the total production during the 8.5 hours shift is 3128 plastic bottles. Hence, none of these options (A to E) are correct.
