Assume real per capita GDP in North Midgar is $8,000 while in South Darlinia it is $2,000. The annual growth rate in North Midgar is 2.33%, while in South Darlinia it is 7%. How many years will it take for South Darlinia to catch up to the real per capita GDP of North Midgar?

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.