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 the function below. a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation. c. What is happening to the annual profit over the long run? A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation...
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below P'(t) = (6t+6)(?? +21+2) a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation c. What is happening to the annual profit over the long run? a. The profit in the first three years is $ (Round to the nearest dollar as needed.)
3. An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number of key rings is given by n-2n-3, where n is the number of key rings in thousands. Find the number of key rings sold on a particular day when the total profit is $5,000. (SHOW WORK)
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are shown, where x is the number of thousands of items produced. (a) Use the graph to find the formula for the revenue R(x). (b) The profit is given by P(x) = – x2 + 15x² - 27x- 50. What is the formula for the cost function C(x)? (c) Report the fixed costs. (d) Report the minimum marginal cost. (e) What is the largest profit...
A company has taken a sample of its monthly revenues and expenses in thousands of dollars over the last two years. The average monthly revenues was 100 and the average monthly expenses was 80. The standard deviation of the monthly revenues was 10 and of the monthly expenses was 6. The covariance between revenues and expenses was 7.5. The profit is revenues less expenses. What is the standard deviation of monthly profit in thousands of dollars? Round your answer to...
The rate of sales of a certain brand of bicycle by a retailer in thousands of dollars per month is given by s(t) = 28t – 0.3342 where t is the number of months after an advertising campaign has begun. (a) Find the amount of sales, in thousand of dollars, for the first six months after the start of the advertising campaign. Give you answer to three decimal places. $ 432.720 X thousand dollars (b) Find the average sales per...
The profit p(x) of a cosmetics company , in thousands of dollars,is given by p(x)=-5x^2+400x-2550, where x is the amount spent on advertising , in thousands of dollarsa) determine the max profit the company can makeb)Determine the amount spent on advertising that will result in the max profitc)What amount must be spent on advertising to obtain a profit of at least $4 000 000
A company estimates that its annual sales during the first t years of operation can be modeled by the function S(t) = 2.410.112 + 3 where S is measured in thousands of dollars. What was the company's average annual sales over its first 3 years of operation? a) $8.35 thousand b) $5.83 thousand c) $6.68 thousand d) $2.78 thousand e) $20.05 thousand f) None of the above
The annual cost C (in thousands of dollars) and revenue R (in thousands of dollars) for a company each year from 2010 through 2016 can be approximated by the models C 254-9r1.1 and R343+3.4t where t is the year, with t 10 corresponding to 2010. (a) Write a function P that represents the annual profit of the company P) (b) Use a graphing utility to graph C. R, and P in the same viewing window ft) ft) 400 400 300...
Please help with the following question and explain thoroughly. Thanks so much! e profit, in millions of dollars, of a company t years after 1992 is given in the following table: t = # of years after 1992-10- 2-T-4-T6 Profit in millions of dollars 5 220 260 220 200 280 1. The 8-T-10 the number of years since 1992. Find the best model for P(t), the profit at time t, from the DRATIC, EXPONENTIAL, CUBIC or LOGISTIC. Give your model...