pages 16 - 17, question 3\n3. a) why do january and february have no earnings at 8%?\n b) which other month…

pages 16 - 17, question 3\n3. a) why do january and february have no earnings at 8%?\n b) which other month will have no earnings at 8%? complete its row.\n c) complete the rows for the remaining months.\n d) total the earnings.\n\n| month | salary ($) | sales ($) | 5% commission on sales less than or equal to $20 000 ($) | sales over $20 000 ($) | 8% commission on sales greater than $20 000 ($) | total earnings ($) |\n| ---- | ---- | ---- | ---- | ---- | ---- | ---- |\n| jan. | 900 | 18 245 | 912.25 | 0.00 | 0.00 | 1812.25 |\n| feb. | 900 | 19 450 | 972.50 | 0.00 | 0.00 | 1872.50 |\n| mar. | 900 | 25 175 | | | | |\n| apr. | 900 | 24 199 | 1000.00 | 4199.00 | 335.92 | 2235.92 |\n| may | 900 | 28 317 | | | | |\n| june | 900 | 14 259 | | 0.00 | 0.00 | |\n| july | 900 | 22 082 | 1000.00 | 2082.00 | 166.56 | 2066.56 |\n| aug. | 900 | 27 635 | | | | |\n| sept. | 900 | 29 452 | | | | |\n| oct. | 900 | 24 674 | 1000.00 | 4674.00 | 373.92 | 2273.92 |\n| nov. | 900 | 29 285 | 1000.00 | 9285.00 | 742.80 | 2642.80 |\n| dec. | 900 | 31 257 | | | | |\n| total | | | | | | |
Answer
Explanation:
Step1: Analyze no - 8% earnings months
January and February have sales less than $20000. So, no 8% commission as 8% commission is for sales greater than $20000.
Step2: Find other non - 8% month
June has sales of $14259 which is less than $20000, so it has no 8% earnings.
Step3: Calculate for March
Sales over $20000 for March: $25175 - 20000=5175$. 5% commission on first $20000 is $20000\times0.05 = 1000$. 8% commission on $5175 is $5175\times0.08=414$. Total earnings: $900 + 1000+414 = 2314$.
Step4: Calculate for May
Sales over $20000 for May: $28317 - 20000 = 8317$. 5% commission on first $20000 is $20000\times0.05=1000$. 8% commission on $8317 is $8317\times0.08 = 665.36$. Total earnings: $900+1000 + 665.36=2565.36$.
Step5: Calculate for August
Sales over $20000 for August: $27635 - 20000=7635$. 5% commission on first $20000 is $20000\times0.05 = 1000$. 8% commission on $7635 is $7635\times0.08=610.8$. Total earnings: $900+1000 + 610.8=2510.8$.
Step6: Calculate for September
Sales over $20000 for September: $29452 - 20000 = 9452$. 5% commission on first $20000 is $20000\times0.05=1000$. 8% commission on $9452 is $9452\times0.08 = 756.16$. Total earnings: $900+1000+756.16 = 2656.16$.
Step7: Calculate for December
Sales over $20000 for December: $31257 - 20000=11257$. 5% commission on first $20000 is $20000\times0.05 = 1000$. 8% commission on $11257 is $11257\times0.08=900.56$. Total earnings: $900+1000+900.56 = 2800.56$.
Step8: Total earnings
Sum all total earnings values: $1812.25+1872.50 + 2314+2235.92+2565.36+900+2066.56+2510.8+2656.16+2273.92+2642.8+2800.56$ $=26651.73$.
Answer:
a) Because sales in January ($18245) and February ($19450) are less than $20000, so no 8% commission on sales greater than $20000. b) June, as sales ($14259) is less than $20000. c)
| Month | Salary ($) | Sales ($) | 5% Commission on Sales Less Than or Equal to $20000 ($) | Sales Over $20000 ($) | 8% Commission on Sales Greater Than $20000 ($) | Total Earnings ($) |
|---|---|---|---|---|---|---|
| Mar. | 900 | 25175 | 1000 | 5175 | 414 | 2314 |
| May | 900 | 28317 | 1000 | 8317 | 665.36 | 2565.36 |
| June | 900 | 14259 | 712.95 | 0.00 | 0.00 | 1612.95 |
| Aug. | 900 | 27635 | 1000 | 7635 | 610.8 | 2510.8 |
| Sept. | 900 | 29452 | 1000 | 9452 | 756.16 | 2656.16 |
| Dec. | 900 | 31257 | 1000 | 11257 | 900.56 | 2800.56 |
| d) $26651.73$ |