Can you please help me out with the following task. Thank you!

> Suppose the total product equation is quadratic: TPL = al - bL2 a. Find expressions for the marginal product and average product of L. MPL = APL = b. Find expressions for the L-intercepts of the MPL and APL curves. MPL = 0 at L = APL = 0 at L = 201 P-SET Ch. 6 4 c. Use a derivative to find the level of input L at which TPL is maximized. Show work. TP, is maximized at L = d. Find a simple expression for maximum TPL as a function of parameters a and b. Maximum TPL =e. Use this information to sketch and LABEL the TPL curve in one diagram. Sketch the MPL and APL curves in a second diagram, vertically aligning the Labor axes. TPL L MPL APL L