Hello, I am confused with this problem .

The monthly demand equation for an electric utility company is estimated to be p = 53 (10 _ 5) x. where p is measured in dollars and x is measured in thousands of killowatthours, The utility has xed costs of $1,000,000 per month and variable costs of $21 per 1000 kilowatthours of electricity generated, so the cost function is 6 C(x}:1 - 10 + 21x. (a) Find the value of x and the corresponding price for 1000 kilowattihours that maximize the utility's prot. (b) Suppose that the rising fuel costs increase the utility's variable costs from $21 to $35, so its new cost function is C1(x) = 1 - 106 + 35x. Should the utitity pass all this increase of $14 per thousand kilowattihours on to the consumers