Help With Question

[runn0010]

2. Labour Hours (5 marks) [CLR 1]

TIP Ltd. manufacturers unique paperweights featured in decorative magazines and on Discovery Channel. Last year, TIP produced 120,000 paperweights in its workshop in Concord, Ontario, to meet demands in North America and overseas markets. To accomplish this, each crafts person at the Concord workshop worked 140 hours per month. If the labor productivity at the plant is 2.5 paperweights per labor hour, how many crafts people are employed at the workshop?



Hint: You are told 120,000 paperweights were produced over the year. Calculate the monthly production. You can assume each month’s productivity is the same.

Next calculate how many paperweights each crafts person produced per month.

Use the above information to calculate the number of crafts people employed at the workshop.



Monthly Production=120000/12=10,000 Each Craftsperson makes 71.428571 paper weights a month

Now what to calculate number of employees at workshop.

 

[Otis]

Each Crafts person makes 71.428571 paper weights a month …

That's not correct. Please show all your steps, when asking for help.

We're told that each person makes 2.5 paperweights per hour and works 140 hours per month. Therefore, each person makes 140×2.5 paperweights per month.

This exercise must require rounding because the number of crafts people doesn't work out to a Whole number. Consider paperweights produced per year as:

[workers] × [2.5 items/hr] × [140 hr/mo] × [12 mo/workers]

28 × 2.5 × 140 × 12 = 117,600

29 × 2.5 × 140 × 12 = 121800

?

 

[runn0010]

That's not correct. Please show all your steps, when asking for help.

We're told that each person makes 2.5 paperweights per hour and works 140 hour per month. Therefore, each person makes 140×2.5 paperweights per month.

This exercise must require rounding because the number of crafts people doesn't work out to a Whole number. Consider paperweights produced per year as:

[workers] × [2.5 items/hr] × [140 hr/mo] × [12 mo/workers]

28 × 2.5 × 140 × 12 = 117,600

29 × 2.5 × 140 × 12 = 121800

?

So if my production for each worker is 140x2.5=350 paperweights per month then the amount of workers is going to monthly production divided by production per worker each month so 10000/350= 28.57 or we can round to 29

 

[JeffM]

So if my production for each worker is 140x2.5=350 paperweights per month then the amount of workers is going to monthly production divided by production per worker each month so 10000/350= 28.57 or we can round to 29

Yes, although technically you cannot be sure whether to round up or to round down because the problem does not really give you the information to decide that.