Question

What about running the line at 300 units per day? If overtime were used with the engineers’ initial design, how much time would the line need to be run each day?

Short answer

To achieve a daily production of 300 units, 2.5 hours of extra would be required.

Step-by-step solution

The running the line at 300 units per day

Running the line at 250 units per day as well as if extra was used with the engineers' original concept. However, if this firm can exceed its target of 250 units as well as reach 300 units, it may be worth the additional effort/expense they have to invest in the organization.

Explanation

With the engineers' original design, an extra 2.5 hours would result in a line running at 300 units per day. It is demonstrated in the following method of calculating:

$$\begin{gathered} T=\frac{\left(7.5hours+2.5hoursofovertime\right)\times 60\times 60}{2minutesperunit} \\ T=\frac{3600seconds}{1200secondsperunit} \\ T=300units \end{gathered}$$

As a result, the original design produces 30 units each hour. To achieve a daily production of 300 units, 2.5 hours of overtime would be required.