Hello! If you could please help answer this question with explaining step-by-step the solution and equations used, that would be amazing! Thank you so much.

2. Supply and demand in the neoclassical economy Consider an economy in which the consumption, investment and production functions are as follows:

C = 9 + 0.7(Y T)

I = 25 2r

F(K, L) = K1/2L 1/2

The capital and labor supply are equal to 100 each, G = 20 and T = 20. Compute the equilibrium values of output, overall labor income, consumption, public savings, national savings, investment, and the interest rate.