A certain state uses the following progressive tax rate for calculating individual income tax: Tax Bracket ($) Rate 0 - 10,000 3%, 10,001 - 50,000 5%, 50,001 - 100,000 5.5%. Calculate the state income tax owed on a $70,000 per year salary. Round your answer to the nearest whole dollar amount.

Until recently, hamburgers at the city sports arena cost $4.70 each. the food concessionaire sold an average of 13 comma 000 hamburgers on game night. when the price was raised to $5.40, hamburger sales dropped off to an average of 6 comma 000 per night. (a) assuming a linear demand curve, find the price of a hamburger that will maximize the nightly hamburger revenue. (b) if the concessionaire had fixed costs of $1 comma 500 per night and the variable cost is $0.60 per hamburger, find the price of a hamburger that will maximize the nightly hamburger profit.