micro isi doubt

[hs]

(b) Consider an economy producing a single good by a production function
Y = min {K, L}
where Y is the output of the final good. K and L are input use of capital and labour
respectively. Suppose this economy is endowed with 100 units of capital and
labour supply L(s) is given by the function
L(s) = 50w ,
where w is the wage rate.
Assuming that all markets are competitive find the equilibrium wage and rental
rate.

[Homer Simpson]

i think wage = 2 and rental rate = 1

[Dreyfus]

Tsuki...I m also getting the same answer if we assume all the capital stock,K=100 would be utilized in production