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)...
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. 3 P'(t) = (5t + 5)(2+ + 2 +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 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 $5,000. (SHOW WORK)
Let ŷ represent the profit (in thousands of dollars) for a certain company xx years after 1965. A statistician calculates a linear model ŷ = 0.74xx + 4 Use the model to estimate the profit in 1975. Your answer should be in dollars, not thousands of dollars. Profit =$
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...
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 owners of a small manufacturing concern have hired a vice president to run the company with the expectation that he will buy the company after five years. Compensation of the new vice president is a flat salary plus 75% of the first $150,000 profit, and then 10% of profit over $150,000. Purchase price for the company is set at 4.5 times earnings (profit), computed as average annual profitability over the next five years. 1. Please PLOT the annual compensation...
The owners of a small manufacturing concern have hired a vice president to run the company with the expectation that he will buy the company after five years. For the first $150,000 of profit, the vice president's compensation is a flat annual salary of $50,000 plus 60% of company profits. Beyond the first $150,000 in profits, the vice president's compensation is the salary he receives at $150,000 profit plus 20% of company profits in excess of $150,000. On the following...
The owners of a small manufacturing concern have hired a vice president to run the company with the expectation that he will buy the company after five years. Compensation of the new vice president is a flat salary plus 75% of the first $150,000 profit, and then 10% of profit over $150,000. Purchase price for the company is set at 4.5 times earnings (profit), computed as average annual profitability over the next five years. PLOT the annual compensation of the...
6x² + c 60x A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x) = where x is the number of units produced (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $19,000 to produce 5 units. Should they seek...