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Question 21 : Consider the four variables A, B, C and D and a function Z of these variables, Z = 15A^{2} − 3B^{4} + C + 0.5D. It is given that A, B, C and D must be non-negative integers and that all of the following relationships must hold:

i) 2A + B ≤ 2

ii) 4A + 2B + C ≤ 12

iii) 3A + 4B + D ≤ 15 If Z needs to be maximised, then what value must D take?

- 15
- 12
- 0
- 10
- 5

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**Choice B** is the correct answer.

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