A bakery selling assorted tarts operates for 7 days a week. The matrix, T, shows the number of tarts of different types that are made each day.
\[\begin{array}{c|ccc}&\text{Apple}&\text{Banana}&\text{Cheese}\\\hline\text{Small}&55&35&70\\\text{Large}&40&30&30\end{array}\]
The cost of making a small tart is $0.80. The cost of making a large tart is $1.75.
Represent these costs in a \(1\times2\) row matrix \(N\).[1]
Evaluate the matrix \(C=7NT\).[2]
State what each of the elements of \(C\) represents.[1]
The tarts are sold at 55% more than the cost to make them. On a particular day, the number of banana tarts to cheese tarts sold is in the ratio 5:7 while the number of apple tarts to banana tarts sold is in the ratio 5:4. A total of 41 unsold tarts were given away. If the number of small cheese tarts sold is twice the number of large cheese tarts sold, calculate the total amount earned by the bakery from selling cheese tarts on that day.[3]