suppose that a five year rate of projection growth of population trends suggests that t years from now, the population of a certain community will be P thousand where  P(t)= -t3+9t2+48t+200 at what time will the rate of population growth be maximized?

Q: A coffee shop finds that at the price of $3.00, demand for their popular cappuccino drink is 3000…

A: Given that: At price of $3.00, demand = 3000 cups a year.For every $0.25 decrease in price, demand…

Q: 3. A manufacturer determines that when x thousand units of a particular commodity are produced, the…

A: Given that: Profit function: P(x)=-400x2+6800x-12000

Q: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts…

A:

Q: Suppose a man is 30 years old and would like to retire at age 60. Furthermore, he would like to have…

A: In the question  it is asked to calculate the amount of money that a person would save in order to…

Q: A company estimates that it will sell N(x) units of a product after spending $x thousand on…

A:

Q: in the early 1970s there were approximately 40,000 trees lining the streets of Newton. Today, that…

A:

Q: A company has started selling a new type of smartphone at the price of $110 - 0.1 x where x is the…

A:

Q: If a baseball is projected upward from ground level with an initial velocity of 128 feet per second,…

A: Given height as a function of time S= -16t2+128t Here, A= -16 B= 128, C=0

Q: Find the present value of a continuous stream of income over 3 years if the rate of income is…

A: Given the rate of income , ft=80e-0.08t Number of yearsT=3 Interest rater=11% The present value can…

Q: If consumption is $3.7 billion when income is $1 billion and if the marginal propensity to consume…

A:

Q: Suppose that the marginal propensity to consume is de - 0.7 -.-2y dy (in billions of dollars) and…

A:

Q: A manufacture has been selling 1000 television sets a week at $480 each. A market survey indicates…

A:

Q: A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

A: Given, Demand function is, q=360-pp=360-q Now, the Revenue function is, Rq=pq=360-qq=360q-q2…

Q: In the Malthusian model let the production function be y = 15-0.1L, the Death Rate function be…

A: Let's find.

Q: Suppose a company wants to introduce a new machine that will produce a marginal annual savings in…

A:

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given problem:- The population of the world in 2015 was 9.75 billion people and was growing at a…

Q: new firm starts in business, it finds that its rate of profits (in hundreds of dollars per year)…

A: We have to find the future value function for profit.

Q: Suppose that a company's profit function over time is P(x) = - 0.4a + 5a? + 10 thousand dollars, %3D…

A:

Q: A manufacture has been selling 1050 television sets a week at $510 each. A market survey indicates…

A: Here we solve the given problem.

Q: Suppose that a product currently sells for $25, with the price increasing at the rate of $2 per…

A: Given, Currently products sells for $ 25  and at this price consumers will buy 150 thousand items.…

Q: 13. The revenue from a manufacturing process (in millions of dollars) is projected to follow the…

A: R(t) = 100+0.08 t C(t) = 60+0.2 t2   P(t) = R(t)- C(t)       = 100 +0.08 t -60 - 0.2 t2 P(t) = -0.2…

Q: A manufacture has been selling 1350 television sets a week at $480 each. A market survey indicates…

A: Given that, a manufacture has been selling 1350 television sets a week at $480 each. A market survey…

Q: The consumer demand curve for Professor Stefan Schwarzenegger’s dumbbells is given by q=(118-2p)^2,…

A: given: The consumer demand curve for Professor Stefan Schwarzenegger’s dumbbells is given by…

Q: Find the maximum rate of decrease of f at the point (1, 2). None of the above -2/2 2/2 8.

A: To find- Maximum rate of decrease of f at the point(1,2)

Q: If the investment equation is I(t) = 6t1/2   then what is the total capital after 4 years. What is…

A: Given investment equation which upon integration gives total capital. The limits of the integration…

Q: Hamed own a local gold market that currently has 4693401 subscriber in Instagram at a quarterly…

A: Given Current subscriber=4693401 Quarterly charge of R.O. =18 and If he raises the price by 4 of his…

Q: Suppose that the marginal propensity to consume is dc - 0.9 - e-2y (in billions of dollars) and that…

A:

Q: A company estimates that it will sell N(x) units of a product after spending Sx thousand on…

A:

Q: The market research department of the Better Baby Buggy Co. predicts that the demand equation for…

A: Step 1:According to the given information:Let q be the number of buggies sellAnd, p be the price per…

Q: City A has a current population of 500,00 people and grows at a rate of 3%/year. City B has a…

A: Given  City A :-  current population(P) is  500,00 people and growth rate (r) is 3% or 0.03  City B…

Q: A company has a price demand function P (x) = 150 − 3x for a certain product. What is the revenue…

A: The price demand function is provided as P(x) = 150 - 3x.The revenue function is given by,R(x) =…

Q: Suppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

A: Given: stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

Q: If consumption is $4.7 billion when income is $1 billion and if the marginal propensity to consume…

A: Given Data: The consumption when income is $1 is: C1=$4.7 billion The equation of marginal…

Q: 5. If consumption is $3 billion when disposable income is $O, and if the marginal propensity to save…

A:

Q: A manufacture has been selling 1700 television sets a week at $420 each. A market survey indicates…

A:

Q: Suppose that the marginal propensity to consume is dc - 0.2 - e-2y (in billions of dollars) dy and…

A: dCdy=0.2-e-2y

Q: The market for a particular consumer good has a demand function given by: q = 24 - p and supply…

A: Given, Demand function (p)= d(q)= 24-q Supply function (p)= s(q)= q+q²

Q: A manufacture has been selling 1500 television sets a week at $540 each. A market survey indicates…

A: Solution is given below:

Q: Suppose that value of wine respect to time is given following function V = 100e ve. How long will it…

A:

Q: 13. The revenue from a manufacturing process (in millions of dollars) is projected to follow the…

A: R = 100 + 0.08t at t = 10 R = 100 + 0.8 R = 100.8 million dollars.   C = 60 + 0.2 t2 at t = 10 C =…

Q: A manufacturer has been selling 1800 television sets a week at $480 each. A market survey indicates…

A:

Q: A recent budget for the California State University system projected a fixed cost of $486,000 at…

A:

Q: A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates…

A: We have to find demand function, maximum revenue, maximum profit.

Q: How large a rebate should the company offer the buyer in order to maximize its revenue

A:

Q: All units in a 100-unit apartment building are rented out when the monthly rent is set at r =…

A:

Q: A manufacture has been selling 1050 television sets a week at $510 each. A market survey indicates…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The demand for face masks is given by p =-3 In(x) + 10 with domain [1, 28] where x is the number of…

A: Given: The demand for face masks is given by, p=-3 lnx+10, with domain 1, 28 where x is the number…

Q: (d) If a small change occur for the profit of Alpha machine; in what range of the change could…

A: Given: Alpha machine has a production capacity of 25 graphics tablets per hour while Beta machine…

Q: A time study showed that, on average, the productivity of a worker after t hours on the job can be…

A:

Q: The population of the United States can be modeled by the function p(x) = 80.21e131x where x is the…

A: We have to graph P(x) and predict population in given years.   According to our guidelines we can…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.