5. Two fertilizers are available, a liquid \(X\) and a powder \(Y\). A bottle of \(X\) contains 5 units of chemical \(A\), 2 units of chemical \(B\) and \(\frac { 1 } { 2 }\) unit of chemical \(C\). A packet of \(Y\) contains 1 unit of \(A , 2\) units of \(B\) and 2 units of \(C\). A professional gardener makes her own fertilizer. She requires at least 10 units of \(A\), at least 12 units of \(B\) and at least 6 units of \(C\). She buys \(x\) bottles of \(X\) and \(y\) packets of \(Y\).

1. Write down the inequalities which model this situation.
2. On the grid provided construct and label the feasible region. A bottle of \(X\) costs \(\pounds 2\) and a packet of \(Y\) costs \(\pounds 3\).
3. Write down an expression, in terms of \(x\) and \(y\), for the total cost \(\pounds T\).
4. Using your graph, obtain the values of \(x\) and \(y\) that give the minimum value of \(T\). Make your method clear and calculate the minimum value of \(T\).
5. Suggest how the situation might be changed so that it could no longer be represented graphically.
   (2)