A company reviews the state of one of its important products annually and decides whether it is successful (state 1) or unsuccessful (state 2). The company must decide whether to advertise the product to further promote sales. The following matrices, P¹ and P², provide the transition probabilities with and without advertising during any year. The associated returns are given by the matrices R¹ and R². Find the optimal decisions over the next 3 years.

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P¹ P2 4). 9.1 .6 .4 3). .7 .3 .2 .8 R¹ R² || 2-1 1-3 4 1 2-1