b. Thank youutility has ﬁxed costs of $3,000,000 per month and variable costs of $47 per 1000 kilowatt-hours of electricity generated, so the cost function is C(x) = 3 – 106 + 47x. (a) Find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility’s proﬁt. (b) Suppose that the rising fuel costs increase the utility’s variable costs from $47 to $59, so its new cost function is C1(x)= 3 -106 + 59x. Should the utility pass all this increase of $12 per

thousand kilowatt-hours on to the consumers? (a) Find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility’s proﬁt. x=|Z| (Type an integer or a decimal.) Math>