Construct two Latin squares A, S of order 5 with entries in Z5 that simultaneously satisfy each of the following properties: a. A, S are orthogonal.
b. A is orthogonal to its transpose A.
c. S is symmetric and idempotent.

Georgia needs to buy flea treatment for her dog. pet store 1 is offering the flea treatment for 40 percent off plus an additional 25 percent off their regular price of $33. pet store 2 is offering the same flea treatment for 55 percent off plus an additional 5 percent off their regular price of $34. which location is offering the better price and how much cheaper is it? the flea treatment is $0.31 cheaper at pet store 2. the flea treatment is $1.05 cheaper at pet store 2. the flea treatment is $2.05 cheaper at pet store 1. the flea treatment is $2.36 cheaper at pet store 1.