Fruit seller A sells on average 20 mangoes, 32 apples and 15 oranges daily. Seller B sells 15 mangoes, 35 apples and 18 oranges daily.
This is represented by \(F=\begin{pmatrix}20&32&15\\15&35&18\end{pmatrix}\).
Evaluate \(T=5F\begin{pmatrix}1\\1\\1\end{pmatrix}\).[2]
State what each element of T represents.[1]
Seller A charges 80, 50 and 60 cents for a mango, apple and orange; seller B charges 70, 40 and 50 cents respectively.
Represent the prices in a \(3\times2\) matrix \(C\).[1]
Evaluate \(P=FC\).[2]
Each seller’s total fruit cost is $10. Explain which seller makes the higher profit.[1]
Both sellers discount mangoes by 20% and apples by 10%. Using matrix multiplication, find a 3×2 matrix N whose elements are the new prices of mangoes, apples and oranges for sellers A and B.[2]