In 2015 people were employed to develop reading material for schools. They were paid according to the number of pages they developed. Rates and information on remuneration are given in ANNEXURE B. They spent 7 days developing the material. They travelled daily to and from the centre where they worked. They worked 10 hours per day. 2.1.1 One of the employees developed 20 pages in 10 hours. Show, using calculations, whether the employee was meeting the norm, or not. 2.1.2 Calculate the percentage increase in rate of developing material from 2013 to 2015. 2.1.3 The manager is convinced that the R130 000 that he has budgeted for 10 employees to each develop 161 pages in seven days will be R4 000 more than the amount needed. Note: Two employees live a distance of 35 km from the centre; three live 25 km from the centre; and the rest live 12 km from the centre. Verify, showing all necessary calculations, whether the manager’s statement is valid.

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In 2015 people were employed to develop reading material for schools - NSC Mathematical Literacy - Question 2 - 2017 - Paper 2

Question 2

In 2015 people were employed to develop reading material for schools. They were paid according to the number of pages they developed. Rates and information on remune... show full transcript

Worked Solution & Example Answer:In 2015 people were employed to develop reading material for schools - NSC Mathematical Literacy - Question 2 - 2017 - Paper 2

Step 1

2.1.1 One of the employees developed 20 pages in 10 hours. Show, using calculations, whether the employee was meeting the norm, or not.

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Answer

To determine if the employee met the norm, we first need to calculate how many pages an employee is expected to develop in the given time:

Calculate the total minutes in 10 hours:

$10 ext{ hours} = 10 imes 60 = 600 ext{ minutes}$
Determine pages developed in a minute:

$1 ext{ page requires } 26 ext{ minutes}$
Calculate norm pages in 600 minutes:

$\text{Pages norm} = \frac{600}{26} \approx 23 \text{ pages}$

Since the employee developed only 20 pages, which is less than the norm of approximately 23 pages, the employee did not meet the required norm.

Step 2

2.1.2 Calculate the percentage increase in rate of developing material from 2013 to 2015.

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Answer

To calculate the percentage increase, we need the rate of developing material for both years. Assuming it has increased from a rate in 2013 to a new rate in 2015:

Let the 2013 rate be X and the 2015 rate be Y:
Formula for percentage increase:

$\text{Percentage Increase} = \frac{Y - X}{X} \times 100$
Substitute the values: (For example, using values from the marking scheme):

$X = 169,30\text{ and } Y = 347,16$
Calculate:

$\text{Percentage Increase} = \frac{347,16 - 169,30}{169,30} \times 100 \approx 48,49\%$

Final result: The percentage increase in the rate of developing material from 2013 to 2015 is approximately 48.49%.

Step 3

2.1.3 The manager is convinced that the R130 000 that he has budgeted for 10 employees to each develop 161 pages in seven days will be R4 000 more than the amount needed.

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Answer

Calculate total pages developed by all employees:

$\text{Total Pages} = 10 \text{ employees} \times 161 \text{ pages} = 1610 \text{ pages}$
Calculate the time required to develop those pages:

Assuming $1\text{ page} = 26\text{ minutes}$ :

$\text{Total Time (minutes)} = 1610 \text{ pages} \times 26 = 41860\text{ minutes}$

For 7 days, the available time is:

$7\text{ days} \times 10\text{ hours/day} \times 60\text{ minutes/hour} = 4200\text{ minutes}$
Calculate distance travelled:

Each pair of employees travels:

2 employees: $35 \text{ km each}$
3 employees: $25 \text{ km each}$
5 employees: $12 \text{ km each}$

Total Distance = $2(35) + 3(25) + 5(12) = 70 + 75 + 60 = 205\text{ km}$

Using a transport rate per km, finding total costs would lead to the total budget needed.

Compare R130 000 to calculated expenses:
If the computed expenses are significantly below R130 000 by more than R4 000, the manager's statement is invalid.

In 2015 people were employed to develop reading material for schools - NSC Mathematical Literacy - Question 2 - 2017 - Paper 2

Worked Solution & Example Answer:In 2015 people were employed to develop reading material for schools - NSC Mathematical Literacy - Question 2 - 2017 - Paper 2

2.1.1 One of the employees developed 20 pages in 10 hours. Show, using calculations, whether the employee was meeting the norm, or not.

2.1.2 Calculate the percentage increase in rate of developing material from 2013 to 2015.

2.1.3 The manager is convinced that the R130 000 that he has budgeted for 10 employees to each develop 161 pages in seven days will be R4 000 more than the amount needed.

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