For questions $29$ and $30,$ consider the information conveyed in the table below:

$\backslash$table$[[$Labor Hired,$0,1,2,3,4,5,6,7,8],[$Output Produced,$0,800,1,500,2,100,2,600,3,000,3,300,3,500,3,600]]$

Which of the following observations are correct?

A$.$ "The Marginal Product of the $5^{th}$ unit of labor hired is $600."$

B$.$ "This firm's production function appears to exhibit a 'diminishing marginal product' of labor."

C$."$If the price of this firm's output is $$5$ per unit, then the 'value of the marginal product' of the $4^{th}$ unit of labor hired is $$100."$

D$.$ More than one of the above answers are correct.

Suppose the per unit wage rate of labor is $$480$ and the price of the firm's output is $$2$ per unit. To maximize profit, the firm should hire workers.

A$.4$

B$.6$

C$.7$

D$.8$