Provide an isoprofit analysis to illustrate and quantify

Question

A firm with q=K^1/2L^1/2 sells output at p=8 and hires inputs at w=1 and r=4. Short run K=4.

a) Derive the firms TP_{L Curve}

b) Provide an isoprofit analysis to illustrate and quantify the firms maximizing levels of employment and output

c) On the same diagram, illustrate and quantify how this firm would behave if the price of output declined to 2.