Consider a firm with production function:

Q= 9L+ 3K

Assume that is measured in workers and K and Q are measured in units.

(a) Find the equation for the isoquant for Q= 300

(b) Plot this isoquant. Label the points where L= 1 and L=10 Show your work in finding these points.

(c) Find the MRTS for this production function.

(d) Calculate the MRTS at the two points. Interpret the MRTS at L = 10

(e) Does this production function have a diminishing MRTS ? If so, explain why. If not, explain why not. That is, what is the economics behind your answer?