Question

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) $2A+B\leq2$
ii) $4A+2B+C\leq12$
iii) $3A+4B+D\leq15$
If Z needs to be maximised, then what value must D take?

• A. 15
• B. 12
• C. 0
• D. 10
• E. 5

Answer 1

Answer: (B)

12

Answer 2

The correct option is (B):12 .