how do i approach question 1 on this assignment? I am unsure of how to find the demand supply and profit function of the firm's labour.

Question [1]: Let us look at a simple example of a rm with a shut-down decision. Suppose there is one output y produced from 1 input i. Let output price be p and input price be to. Technologyr is given by the function 0 His] \"NFL/:71 mzl o Derive the rm's labour demand, supply, and prot function. 0 Drew representations of these functions. 0 Derive the rm's conditional labour demand function and the cost function. 0 Now state the prot maximization problem using the Cost function from the previous step, and solve. 0 Do both approaches provide the same answer for output and prot