You are targeting a total production volume increase of 10% in the next 7 days compared to the last 7 days' actual production volume. assuming you maintain the same productivity rate as last week for the next 7 days, approximately how many scheduled hours will you need to schedule to achieve this goal?

Respuesta :

Answer: To solve, we would need to know how many hours were worked in previous weeks to find out the increase in hours that will give off the 10% increase in total production.

Explanation: To find the production volume increase - subtract the most recent production volume by a previous production volume and then divide that by the previous production volume.

Operations management is the process of business management to increase efficiency to highest possible level

The number of scheduled hours to achieve the goal is 13,591 hours

The parameters of the question that are required are;

[tex]Productivity \ rate = \dfrac{Actual \ Volume }{Actual \ Scheduled \ Hours + Actual \ Overtime Hours}[/tex]

The actual volume for the last 7 days = 584,413

Actual scheduled hours = 12,088

Actual overtime hours = 264

Therefore, we have;

[tex]Productivity \ rate = \dfrac{584,413}{12,088+ 264} \approx 47.3[/tex]

The productivity rate ≈ 47.3 vol./hour

Where there is an increase in volume rate by 10%, we have;

Required volume = 584,413 ×10/100 + 584,413 = 642,854.3

Let x represent the needed scheduled hours to achieve the goal, we have;

[tex]\dfrac{642854.3}{x } \approx 47.3[/tex]

Therefore, x = (642,854.3)/47.3 ≈ 13,591

The number of scheduled hours that need to achieve the goal, x ≈ 13,591 hours

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