Consider the following game

Player 2 L R Player 1 U 6,2 8 ,1 D 12 , 4 b , c (a) [20 points] Find the range of values of (b, c) such that there exists a mixed-strategy Nash equilibrium (MSNE) where Player 1 randomizes (U, D) and Player 2 randomizes (L, R) and characterize the equilibrium (i.e, characterize the mixed-strategies). Other- wise show that no such range of values of (b, c) exists