## Question 5:

### Part (i)
| Answer | Marks | Guidance |
|--------|-------|----------|
| Let $x$ be the number of snowboards | B1 | |
| Let $y$ be the number of (pairs of) skis | B1 | or vice-versa |
| $x + y \leq 600$ | B1 | |
| $x \leq 250$ and $y \leq 500$ | B1 | both |
| $1.1x \leq y$ | B1 | |
| FT horizontal line | B1 | FT horizontal line |
| FT vertical line | B1 | FT vertical line |
| FT positive slope line | B1 | FT positive slope line |
| $x+y = 600$ line | B1 | $x+y=600$ |
| Shading — pentagon bounded by y-axis, horizontal line, vertical line, negatively inclined line and positively inclined line | B1 | follow any such pentagon |
| | **[10]** | |

### Part (ii)
| Answer | Marks | Guidance |
|--------|-------|----------|
| Objective $= 40x + 50y$ | B1 | objective |
| Considering profits at the two indicated points of their pentagon (or using a profit line) | M1 | considering profits at two indicated points |
| 29000 at (100, 500); 27500 at (250, 350); Solution: 100 snowboards and 500 pairs of skis | A1 | cao www |
| | **[3]** | |

### Part (iii)
| Answer | Marks | Guidance |
|--------|-------|----------|
| €10 or more | B1 | cao (allow €51 etc) |
| | **[1]** | |

### Part (iv)
| Answer | Marks | Guidance |
|--------|-------|----------|
| Moving to appropriate new feasible point on negatively inclined line | M1 | moving to appropriate new feasible point on their negatively inclined line |
| 35 snowboards | A1 | cao — integer! (allowing 30 to 40 for graphical inaccuracy) |
| | **[2]** | |