The BJ Electrical Company needs to hire master electricians and apprentices for a one week project. Master electricians receive a salary of $750 per week and apprentices receive $350 per week. As part of its contract, the company has agreed to hire at least 30 workers. The local Building Safety Council recommends that each master electrician spend three hours for inspection time during the project. This project should require 25 hours of inspection time. How many of each type of worker should be hired to accomplish the project and still meet the contract safety requirements?

9 master electricians and at least 21 apprentices are needed for the one week project.

According to the local Building Safety Council, each master electrician must spend three hours for inspection time during the one week project.

We estimate the required number of master electricians by dividing the total inspection time and the recommended inspection time for each master electrician:

And the minimum number of hired apprentices is found by subtracting the result found above from least required personnel:

9 master electricians and at least 21 apprentices are needed for the one week project.

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The BJ Electrical Company

The BJ Electrical Company should hire:

8 master electricians and

22 apprentices

in order to accomplish the project and still meet the contract safety requirements.

Step-by-step explanation:

Number of workers needed = 30

Class of workers:

Master electrician, with per week salary = $750 per worker

Apprentices, with per week salary = $350 per worker

Number of inspection hours required from each master electrician = 3 hours

Total inspection hours for the project = 25 hours

Average number of master electricians needed = 25/3 = 8.333 = 8

Number of each type of worker needed:

Master electricians = 8

Apprentices = 22 (30 - 8)

Cost to be incurred for workers:

Master electricians = $6,000 (8 * $750)

Apprentices =               7,700 (22 * $350)

Total labor cost =      $13,700

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