(a) (i) Let :
L = { all good literature students in the school}
A = {all students in the General Arts class}
Then the Venn diagram below represents the statement : 'All good Literature students in a school are in the General Arts class'.

where \(\in\) = {all students in the school}.
(ii) (1) Invalid conclusion
(2) Invalid conclusion
(3) Valid conclusion
(b) (i) c = h + y
where \(y \propto n \implies y = kn\)
\(\implies c = h + kn\)
When n = 600 bricks, c = GH¢ 950.00
\(950.00 = h + 600k ....... (1)\)
When n = 1000 bricks, c = GH¢ 1,030.00
\(1,030.00 = h + 1000k ....... (2)\)
Subtracting (1) from (2), we have
\(1,030 - 950 = 1000k - 600k\)
\(80 = 400k\)
\(k = \frac{80}{400} = \frac{1}{5}\)
\(\therefore c = h + \frac{1}{5}n\)
From (1), \(950 = h + 600k\)
\(950 = h + (600 \times \frac{1}{5})\)
\(950 = h + 120\)
\(h = 950 - 120 = 830\)
\(c = 830 + \frac{1}{5}n\)
(ii) Using
\(c = 830 + \frac{1}{5}n\), we have
\(c = 830 + \frac{1}{5} \times 500\)
= \(830 + 100\)
= \(GH¢ 930.00\)
Hence, the cost of producing 500 bricks = GH¢ 930.00.