Given the following production function and unconditional factor demand functions:

y = 2x₁^0.5 x₂^0.4

x₁^*= 0.41P¹⁰r₁^-6r₂^-4

x₂^*=0.33P¹⁰r₁^-5r₂^-5

y* = 0.82 P⁹r₁^-5r₂^-4

a) Use the factor demand functions above to derive the indirect profit function.