Question

A small company of science writers found that its rate of profit (in thousands of dollars)...

A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by ? ′ (?) = (? + 3)(? 2 + 6? + 3) 1/3 . Find the total profit in the first three years of operation (round your answer to the nearest thousandth).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A small company of science writers found that its rate of profit (in thousands of dollars)...
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operations is given by the function below p'(t)=(6t+6)(t^2+2t+2)^1/3 A. find the total profit in the first three years B. find the profit in the fourth year of operations. c. what is happening to the annual profit over the long run
The profit P (in thousands of dollars) for a company spending an amount s (in thousands...
The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) on advertising is shown below. P = −1/3 s3 + 9s2 + 400 (a) Find the amount of money the company should spend on advertising in order to yield a maximum profit. s =   thousands of dollars (b) The point of diminishing returns is the point at which the rate of growth of the profit function begins to decline. Find the point of...
The profit P (in thousands of dollars) for a company spending an amount s (in thousands...
The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) on advertising is given by the following equation. P = − 1/10s^3 + 3s^2 + 600. Find the amount of money the company should spend on advertising in order to yield a maximum profit. Also, Find the point of diminishing returns.
Suppose the Sunglasses Hut Company has a profit function given by P(q)=-0.01q2+4q-26, where q is the...
Suppose the Sunglasses Hut Company has a profit function given by P(q)=-0.01q2+4q-26, where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, from selling and producing q pairs of sunglasses. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) Answer: MP(q)= B) How many pairs of sunglasses (in thousands) should be sold to maximize profits?...
A company determines that its marginal revenue per day is given by R′(t)​, where R(t) is...
A company determines that its marginal revenue per day is given by R′(t)​, where R(t) is the total accumulated​ revenue, in​ \ dollars, on the tth day. The​ company's marginal cost per day is given by C′(t)​, where C(t) is the total accumulated​ cost, in​ dollars, on the tth day. R′(t)=130et​, R(0)=​0; C′(t)=130−0.8t​, C(0)=0 ​a) Find the total profit​ P(T) from t=0 to t=10 ​(the first 10 ​days). P(T)=R(T)−C(T)=∫T0R′(t)−C′(t) dt The total profit is $___ ​(Round to the nearest cent...
A construction company has an expenditure rate of E(x) = e^0.12x dollars per day on a...
A construction company has an expenditure rate of E(x) = e^0.12x dollars per day on a particular paving job and an income rate of I(x) = 115.7 - e^0.12x dollars per day on the same job, where x is the number of days from the start of the job. The company's profit on that job will equal total income less total expenditures. Profit will be maximized if the job ends at the optimum time, which is the point where the...
Suppose that a printing firm considers its production as a continuous income stream. If the annual...
Suppose that a printing firm considers its production as a continuous income stream. If the annual rate of flow at time t is given by f(t) = 91.5e−0.8(t + 3) in thousands of dollars per year, and if money is worth 8% compounded continuously, find the present value and future value (in dollars) of the presses over the next 10 years. (Round your answers to the nearest dollar.) present value$ = future value$ =
(1 point) This problem is similar to one in your textbook. Suppose that a company needs...
(1 point) This problem is similar to one in your textbook. Suppose that a company needs new equipment, and that the machinery in question earns the company revenue at a continuous rate of 58000t+42000 dollars per year during the first six months of operation, and at the continuous rate of $71000 per year after the first six months. The cost of the machine is $175000. The interest rate is 6.75% per year, compounded continuously. a) Find the present value of...
A​ one-product company finds that its​ profit, P, in millions of​ dollars, is given by the...
A​ one-product company finds that its​ profit, P, in millions of​ dollars, is given by the following equation where a is the amount spent on​ advertising, in millions of​ dollars, and p is the price charged per item of the​ product, in dollars. ​ P(a,p)=4 ap + 50 p - 9 p^2 - one tenth a^2 p - 90 Find the maximum value of P and the values of a and p at which it is attained. The maximum value...
The table shows the total 4-year cost (in thousands of dollars) and the Graduation rate (nearest...
The table shows the total 4-year cost (in thousands of dollars) and the Graduation rate (nearest percentage) from 4 randomly selected colleges/universities in the U.S. Cost, x 129 104 88 69 Graduation Rate, y 45 62 30 35 The mean of x is 97.5 The standard deviation of x is 25.410 The mean of y is 43 The standard deviation of y is 14.119 The deviations and the z-scores for each x and y value are given below: (x -...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT