"Luciana, Jon, and Clyde incorporate their respective businesses and form Starling Corporation. On March 1 of the current year, Luciana exchanges her property (basis of $50,000 and value of $150,000) for 150 shares in Starling Corporation. On April 15, Jon exchanges his property (basis of $70,000 and value of $500,000) for 500 shares in Starling. On May 10, Clyde transfers his property (basis of $90,000 and value of $350,000) for 350 shares in Starling."

The monthly demand equation for an electric utility company is estimated to be p equals 60 minus left parenthesis 10 superscript negative 5 baseline right parenthesis x, where p is measured in dollars and x is measured in thousands of killowatt-hours. the utility has fixed costs of $3 comma 000 comma 000 per month and variable costs of $32 per 1000 kilowatt-hours of electricity generated, so the cost function is upper c left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 32 x. (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 $32 to $38, so its new cost function is upper c 1 left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 38 x. should the utility pass all this increase of $6 per thousand kilowatt-hours on to the consumers?