NATIONALCONSUMPTION Assume that total national consumption is given by a function C(x), wh...

NATIONALCONSUMPTION Assume that total national consumption is given by a function C(x), where x is the total national income. The derivative C'(x) is called the marginal propensity to consume.Then S= x − C represents total national savings, and S'(x) is called marginal propensity to save.Suppose the consumption function is C(x) = 8 − 0.8x − 0. . Find the marginal propensity to consume, and determine the value of x that results in the smallest total savings.