OCR MEI D1 2007 June — Question 3

Exam BoardOCR MEI
ModuleD1 (Decision Mathematics 1)
Year2007
SessionJune
TopicCurve Sketching
TypeLinear programming graphical method

3 Use a graphical approach to solve the following LP. $$\begin{aligned} & \text { Maximise } \quad 2 x + 3 y
& \text { subject to } \quad x + 5 y \leqslant 14
& \quad x + 2 y \leqslant 8
& \quad 3 x + y \leqslant 21
& \quad x \geqslant 0
& y \geqslant 0 \end{aligned}$$ Section B (48 marks)