Last week, Laurie Golson packaged 289 boxes Holiday Cheese Assortment. Find her gross weekly earnings if she is paid at the following differential piece rate.
Boxes packaged Pay per package
per week
1-100 $1.88
101-300 $2.08
301 and over $2.18
I don't know what I did wrong, but my answer came out different than what it was supposed to be.
1.88 * 100 = 188.00
2.08 * 189 = 393.12
393.12 + 188.00 = ?
Okay, I see what I did wrong, I was thinking one thing and looking at something else. I got $581.12 which is what it was supposed to be.
To find Laurie Golson's gross weekly earnings, we need to determine which pay rate applies for the number of boxes she packaged (289).
Let's break it down step by step:
1. Determine the pay rate based on the number of boxes packaged:
- Laurie packaged 289 boxes.
- Since the range for the second pay rate is 101-300, the pay rate for 289 boxes would be $2.08.
2. Calculate the gross earnings based on the pay rate and the number of boxes:
- Gross earnings = Pay rate per box * Number of boxes
- Gross earnings = $2.08 * 289
- Gross weekly earnings = $602.72
Therefore, Laurie's gross weekly earnings for packaging 289 boxes would be $602.72.
To calculate Laurie Golson's gross weekly earnings, you need to determine the number of boxes she packaged within each pay range and then multiply that by the corresponding pay rate. Finally, you sum up the earnings from each pay range.
To find the number of boxes packaged within each pay range, you need to make sure you properly allocate them based on the given differential piece rates.
Let's break it down:
1. Determine the number of boxes within the range of 1-100:
According to the given information, if Laurie packaged 289 boxes:
- The first 100 boxes will be paid at a rate of $1.88 per box.
Therefore, the number of boxes within this pay range is min(289, 100) = 100.
2. Determine the number of boxes within the range of 101-300:
- If Laurie has already packaged 100 boxes, that leaves 289 - 100 = 189 boxes remaining to be accounted for.
- The next 200 boxes will be paid at a rate of $2.08 per box.
Therefore, the number of boxes within this pay range is min(189, 200) = 189.
3. Determine the number of boxes within the range of 301 and over:
- If Laurie has already packaged 100 + 189 = 289 boxes, that leaves 289 - 289 = 0 boxes remaining to be accounted for.
- The next 0 boxes will be paid at a rate of $2.18 per box.
Therefore, the number of boxes within this pay range is min(0, 0) = 0.
Now that we have the number of boxes in each pay range, we can calculate the earnings:
1. Earnings for the range of 1-100: 100 boxes * $1.88 per box = $188.
2. Earnings for the range of 101-300: 189 boxes * $2.08 per box = $392.52.
3. Earnings for the range of 301 and over: 0 boxes * $2.18 per box = $0.
Finally, sum up the earnings from each pay range:
$188 + $392.52 + $0 = $580.52.
Therefore, Laurie Golson's gross weekly earnings, given the provided information, would be $580.52.