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As operations manager, you are concerned about being able to meet sales requirements in the coming months. You have just been given the following production report: JAN FEB MAR APR Units produced 2,175 1,675 2,675 2,875 Hours per machine 307 186 382 307 Number of machines 4 6 5 6 Find the average of the monthly productivity figures (units per machine hour). (Do not round intermediate calculations. Round your answer to 2 decimal places.)

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Answer:

The average of the monthly productivity figure is  1.51 units per machine hour

Explanation:

For computing the average of the monthly productivity, first we have to compute the total hours, and then units per machine hours

So, the formula to compute the total hours equals to

=  Hours per machine × Number of machines

For JAN = 307 × 4 = 1,228 hours

For FEB = 186 × 6 = 1,116 hours

For MAR = 382 × 5 =  1,910 hours

For APR = 307 × 6 = 1,842 hours

Now, the units per machine hours equals to

= Units produced ÷ total hours

For JAN = 2,175 units  ÷ 1,228 hours = 1.77

For FEB = 2,175 units  ÷ 1,116 hours = 1.94

For MAR = 2,175 units  ÷ 1,910 hours = 1.13

For APR = 2,175 units  ÷ 1,842 hours = 1.18

Now, the average of the monthly productivity equals to

= ( 1.77 + 1.94 + 1.13 + 1.18) ÷ 4

= 1.51 units per machine hour

The average of the monthly productivity figures is :

- 1.51 units per machine hour.

"Production"

Total hours

Total hours = Hours per machine × Number of machines

  • JAN = 307 × 4 = 1,228 hours
  • FEB = 186 × 6 = 1,116 hours
  • MAR = 382 × 5 = 1,910 hours
  • APR = 307 × 6 = 1,842 hours

Units per machine hours

Units per machine hours = Units produced ÷ total hours

  • JAN = 2,175 units ÷ 1,228 hours = 1.77
  • FEB = 2,175 units ÷ 1,116 hours = 1.94
  • MAR = 2,175 units ÷ 1,910 hours = 1.13
  • APR = 2,175 units ÷ 1,842 hours = 1.18

Average monthly productivity

Average monthly productivity = ( 1.77 + 1.94 + 1.13 + 1.18) ÷ 4

Average monthly productivity = 1.51 units per machine hour

Thus ,the average of the monthly productivity figures is 1.51 units per machine hour.

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