Step 1 :Let's denote the cost in dollars to purchase and ship n purses as \(P(n) = 55n + 23\).
Step 2 :The conversion rate from dollars to euros is given by \(R(d) = \frac{5}{6}d\).
Step 3 :We can substitute \(P(n)\) into \(R(d)\) to get the cost in euros, which gives us \(Q(n) = R(P(n)) = \frac{5}{6}P(n)\).
Step 4 :Substituting \(P(n)\) into the equation gives us \(Q(n) = \frac{5}{6}(55n + 23)\).
Step 5 :Simplifying the equation gives us \(Q(n) = 45.83n + 19.17\).
Step 6 :\(\boxed{Q(n) = 45.83n + 19.17}\) is the cost in euros to purchase and ship n purses.