A lawn-and-garden store sells 2 types of grass seed: shade and sun. The numbers of bags sold on Friday and Saturday last week are given in matrix \(A\); the selling price per bag and the profit per bag are given in matrix \(B\). Price and profit are in dollars. What is the total profit for the sale of the 2 types of grass seed sold on Friday and Saturday?

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The second matrix shows us the profit for shade and sun seeds, which we can multiply by the number of bags sold, given in matrix \(A\).

$$ (12+13)\cdot 1.70 + (25+15)\cdot 1.5 $$ $$ =25\cdot 1.7 + 40 \cdot 1.5 $$ $$ =42.5 + 60 $$ $$ = \boxed{102.5} $$