Foundation November 2017 Paper 2 Q14
14.
(a) The opening hours of a shop are shown below.
| Monday | 8:00 a.m. | – | 8:00 p.m. |
| Tuesday | 8:00 a.m. | – | 8:00 p.m. |
| Wednesday | 8:00 a.m. | – | 1:00 p.m. |
| Thursday | 8:00 a.m. | – | 10:00 p.m. |
| Friday | 8:00 a.m. | – | 8:00 p.m. |
| Saturday | 9:00 a.m. | – | 5:00 p.m. |
| Sunday | 10:00 a.m. | – | 4:00 p.m. |
For how many hours is the shop open each week? [2]
(b)
A supermarket is open for 75 hours per week.
The opening hours are shown below.
| Monday to Friday | 8 a.m. | – | 8 p.m. |
| Saturday | 9 a.m. | – | 6 p.m. |
| Sunday | 10 a.m. | – | 4 p.m. |
The supermarket manager is increasing the total opening hours by 10%.
The manager does not want to open earlier in the morning.
The hours on a Sunday cannot change.
(i) Show how the manager could do this. [3]
| Monday to Friday | 8 a.m. | – | ………… |
| Saturday | 9 a.m. | – | ………… |
| Sunday | 10 a.m. | – | 4 p.m. |
(ii) The mean rate of pay for people working in the supermarket is £8.50 per hour.
There are 24 people who work at the supermarket.
There are 24 people who work at the supermarket.
- With the new opening hours, what is the increase in the total weekly wage bill for the supermarket? [3]
- State one assumption you have made in calculating the increase in the total weekly pay. [1]
- How would your answer for the total weekly pay change if your assumption was not correct? [1]
| Scheme | Marks | Comments |
|---|---|---|
| 12+12+5+14+12+8+6 or equivalent | M1 | Allow one error, including a repeated error. |
| = 69 (hours) | A1 | CAO |
| Scheme | Marks | Comments | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| (i) Sight of 7.5 hours or 7h 30m | B1 | |||||||||
Alternatives
| B2 | FT ‘their derived 7.5’ Award B1 for a clear attempt to increase the opening times by 7.5 hours. If no marks awarded, SC1 for a ‘correct’ solution using ‘their 7.5’. Note that other answers are possible, including those who do not work with whole or half hours. | ||||||||
| (ii) 7.5 x 24 x 8.50 OR 82.5 x 24 x 8.50 – 75 x 24 x 8.50 OR 75 x 24 x 8.50 x 0.1 | M2 | FT ‘their 7.5’ x 24 x 8.50 M1 for 24 x 8.50 OR 7.5 x 8.50 OR 7.5 x 24 | ||||||||
| = (£) 1530 | A1 | |||||||||
| Assumptions including ‘all the 24 workers are doing the extra time’, ‘all the workers doing the extra time are paid the mean pay’ or 'there is no increased overtime rate'. | E1 | Any alternative calculations must be accounted for in their assumption in (b)(ii). | ||||||||
| Impact statement – e.g. 'the weekly pay increase calculated is higher than it is likely to be' OR 'weekly pay may be higher if they have to pay overtime at a higher rate' | E1 | Their impact must match 'their assumption' | ||||||||
| (10) |