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Sagot :
Answer:
The solution according to the given scenario is described below.
Explanation:
The given values are:
No. of foreign presses,
= 20
Required setup time,
= 3 hours
Average standard time,
= 45 seconds
Average produced batch,
= 600
Now,
(a)
The number of workers will be:
= [tex]20\times 2+2+3[/tex]
= [tex]40+2+3[/tex]
= [tex]45[/tex]
The total time for batch's production will be:
= [tex]3\times 60+(45\times \frac{600}{60} )[/tex]
= [tex]180+45\times 10[/tex]
= [tex]630 \ minutes[/tex]
or
= [tex]10.5 \ hours[/tex]
The total number of hours per month will be:
= [tex]8\times 21[/tex]
= [tex]168 \ hours[/tex]
then,
The total batches per month will be:
= [tex]\frac{168}{10.5}[/tex]
= [tex]16 \ batches \ per \ month[/tex]
Total batches = [tex]20\times 16[/tex]
= [tex]320[/tex]
Now,
The produced pieces will be:
= [tex]320\times 600[/tex]
= [tex]192000 \ pieces/month[/tex]
(b)
[tex]Labour \ productivity= \frac{ Total \ production}{ Labour \ hours }[/tex]
On substituting the given values, we get
[tex]=\frac{192000}{(8\times 21\times 45)}[/tex]
[tex]=25.4 \ per \ worker \ hours[/tex]
The labor productivity ratio is the ratio analytical tool that determines the efficiency of labor to perform their task and provide higher returns and production in the specified time limit. It is determined by taking into consideration the total number of products and the labor hours provided to each labor per day.
a) The number of forged parts that can be produced in 1 month is 192,000 pieces per month.
b) The labor productivity ratio of the forged shop is 25.40 per labor hour.
Computations:
a)
[tex]\begin{aligned}\text{Number of pieces}&=\text{Total Batch}\times\text{Parts in Batch per Machine}\\&=320\;\text{batches}\times600\;\text{parts}\\&=192,000\;\text{pieces per month}\end{aligned}[/tex]
Working Note:
[tex]\begin{aligned}\text{Number of Workers}&=\left(\text{No. of foreign presses}\times\text{Worker per press}\right)\\&+\text{Worker per press}+\text{Setup Time}\\&=\left(20\times2 \right )+2+3\\&=45\;\text{no. of workers} \end{aligned}[/tex]
[tex]\begin{aligned}\text{Time for batch production}&=\text{Setup Time}\times\text{Average produced batch}\\&+\left(\text{No. of workers}\times\frac{\text{Average produced batch}}{\text{Minutes}} \right )\\&=3\times60+\left(45\times\frac{600}{60}\right)\\&=630\;\text{minutes or}\;10.50\;\text{hours}\end{aligned}[/tex]
[tex]\begin{aligned}\text{Total Batches}&=\text{No. of Foreign Presses}\times\text{Total Batches per month}\\&=20\times\left(\frac{\text{hours per day}\times\text{days per month}}{\text{Total time for batch production}} \right )\\&=20\times\left(\frac{8\times21}{10.50} \right )\\&=320\end{aligned}[/tex]
b) The labor productivity is computed as follows:
[tex]\begin{aligned}\text{Labor Productivity}&=\frac{\text{Total Production}}{\text{Labor hours}}\\&=\frac{192,000}{8\times21\times45}\\&=25.4\;\text{per worker hours}\end{aligned}[/tex]
To know more about labor productivity, refer to the link:
https://brainly.com/question/16016669
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