5. Consider a singleinput and singleoutput technology.r with a sunk xed cost of 5 units of Z. The production function is f(z) = 0.4[z 5)2 + 20ln{z 4} for z 3_> 5. Suppose u: = 1. [a] Graph the production function over the domain 2: E [0, 20]. (h) Graph the cost function for z E [0, 20]. (c) Graph the marginal cost function, the average cost function and the supplyr curve for z E [0, 20]. [d] 1llllhat are the scale properties of this production function