Given Cost and Revenue functions C(q)=q^39q^2+56q+5000 and R(q)=3q^2+2500q, what cost is incurred when marginal profit is $0?

The costs are $ (Round to nearest cent.)

Given cost and price (demand) functions C(q)=110q+44,100 and p(q)=1.8q+850, what is the marginal revenue at a production level of 50 items?

The marginal revenue is dollars per item. (Round answer to nearest

Given Cost and Price (demand) functions C(q)=100q+45000 and p(q)=2.1q+800, what profit can be earned if the price is set to be $500 per item?

The profit is $ . (Round to the nearest cent.)

Given Cost and Price (demand) functions C(q)=120q+45000 and p(q)=2.3q+950, what is the marginal revenue when costs are $70,000?

The marginal revenue is dollars per item. If necessary, round to the nearest

Given Cost and Price (demand) functions C(q)=100q+45000 and p(q)=2.1q+800, what profit can be earned if the price is set to be $500 per item?

The profit is $ . (Round to the nearest

A company produces a special new type of TV. The company has fixed costs of $496,000, and it costs $1100 to produce each TV. The company projects that if it charges a price of $2200 for the TV, it will be able to sell 850 TVs. If the company wants to sell 900 TVs, however, it must lower the price to $1900. Assume a linear demand.What is the marginal profit if 250 TVs are produced

It is $ per item. (Round answer to nearest dollar.)

A company produces a special new type of TV. The company has fixed costs of $472,000, and it costs $1300 to produce each TV. The company projects that if it charges a price of $2200 for the TV, it will be able to sell 800 TVs. If the company wants to sell 850 TVs, however, it must lower the price to $1900. Assume a linear demand. What are the company's profits if marginal profit is $0?

The profit will $ .(Round answer to nearest cent.)

A company produces computers. The demand equation for this computer is given by p(q)=5q+6500. If the company has fixed costs of $4000 in a given month, and the variable costs are $500 per computer, how many computers are necessary for marginal revenue to be $0 per item?

The number of computers is

(Make sure to round to nearest integer. If more than one answer, separate by a comma.)

A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the room to be $150 per night, 150 rooms will be rented. In order to rent 200 rooms, it must lower the price to $100 per night. If the hotel sets the price to be $110 per night, what is the marginal revenue?

The marginal revenue is $ here per room.

(Round answer to nearest dollar. If more than one answer, separate with a comma.)

You deposit $1500 in an account with 3% annual compound interest. Complete the following, assuming you make no additional deposits or withdrawals. How fast will the account be growing (in dollars per year) 11 years from now?

It will be growing by $ per year. (Round to nearest tenth.)

You deposit $2000 in an account with 5% annual compound interest. Complete the following, assuming you make no additional deposits or withdrawals.

How much money will be in the account 10 years from now?

There will be $ (Round to nearest cent.)

You deposit $1500 in an account with 5% annual compound interest. Complete the following, assuming you make no additional deposits or withdrawals. In how many years will the account be growing by $150 per year?

It will be growing by $150 per year in approximately years.

The population of a city is 50,000. The city grows continuously by 3.5% per year. If this trend continues, how fast will the city be growing (in people per year) in13 years?

It will be approximately people per year. If necessary, round to the nearest whole number.

The population of a city is 40,000.The city grows continuously by 2.1% per year. If this trend continues, in how many years will the city be growing by 1,300 people per year?It will be in approximately years. (If necessary, round to nearest tenth of a year.)

The population of a city is 150,000. It declines continuously by 4% per year. Assuming this trend continues, what will the city's population be19 years?people.

If necessary, round to the nearest whole number.

The population of a city is 145,000. The city declines continuously by 3% per year. If this trend continues, in how many years will the city be losing 3,400 people per year?It will be in approximtely years.(If necessary, round to nearest tenth of a year.)

A patient is adminstered a dose of 60mg of a drug. If the body naturally disposes of 7% of the drug every hour, how quickly will the amount of the drug be changing (in mg/hr) 5 hours after ingestion?

It will be changing at a rate of mg/hr.Round to two decimal places.

In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had reached 73,114. If the city grows continuously by the same percent each year, when will the population be growing at a rate of 4,500 people per year?

It will be approximately years after 2000.

(If necessary, round to nearest tenth of a year.)