A company determines that its marginal revenue per day is given by R'(t), where R(t) is...
Shylls, Inc. determines that its marginal revenue per day is given by R'|t|=100et and that R(0)=0, where R(t) is the total accumulated revenue, in dollars, on day t. The company's marginal cost, per day, is given by C'|t|=100-0.2t with C(0)=0, where C(t) is the total accumulated cost, in dollars, on day t. What is the average daily profit for the first 10 days (t=0 to t=10)?
A clothing company determines that its marginal cost, in dollars per dress, is given by the function below. The total cost of producing the first 200 dresses is $6800. Find the cost of producing the 201st through the 320th dress. 3 C'(x) = -25% +46, for xs 370 The total cost is $ (Round to the nearest dollar as needed.)
A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 10 et where S'(t) is the rate at which sales are increasing, in dollars per day, on day t a) Find the accumulated sales for the first 3 days. b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5.) 1. a) The accumulated sales for the first 3 days is $ (Round...
6. Chroelle Integration Industries (CII) tracks its daily revenue, in dollars, with the function R(t). This measures the amount of revenue earned by the company on day t. (a) What is an appropriate interpretation for the expression /R(t) dt? (b) Chris ran CII for the first thirty days of the fiscal year, while Noelle ran CI for the next thirty days. Write down an inequality of definite integrals that suggests Noelle had a more successful term running CII than Chris...
A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets sold, x, is P'(x). Find the total profit from the sale of the first 200 tickets, disregarding any fixed costs. P'(x) = 3x - 1140 The total profit is $ (Round to the nearest cent as needed.)
The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a photocopying machine satisfy C'(t) = -45 82 and R'(t) = 5t5e - to where t is the time in years. (A) What is the total profit accumulated during the first 6 months of use of the machine? The total profit accumulated during the first 6 months of use of the machine is $ (Round to the nearest dollar as needed.) (B) What is the total...
please do all three parts:)thanks a ton Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product changes at the rate C'(x) = -8x-2 + and the average cost of 8 units is $12.00. (a) Find the average cost function. T(X) = (b) Find the average cost of 16 units. (Round your answer to the nearest cent.) Cost, revenue, and profit are in dollars and x is the number of...
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x)equals0.007 x cubed plus 0.02 x squared plus 0.5 x. Currently, Pierce sells 50 lawn chairs daily. a) What is the current daily revenue? b) How much would revenue increase if 53 lawn chairs were sold each day? c) What is the marginal revenue when 50 lawn chairs are sold daily? d) Use the answer from part (c) to estimate R(51), R(52), and...
A marginal revenue function MR(x) (in dollars) is given below. Use numerical integration on a graphing calculator or computer to find the total revenue over the given range. 195 MR(x) = 7+2 1 +2 -0.8x – 25, 0 sxs 270 -0.8% . The total revenue over the given range is approximately $ (Round to the nearest cent as needed.)
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x)=0.003x2 +0.04x² +0.7x. Currently, Pierce sells 80 lawn chairs daily. a) What is the current daily revenue? b) How much would revenue increase if 85 lawn chairs were sold each day? c) What is the marginal revenue when 80 lawn chairs are sold daily? d) Use the answer from part (c) to estimate R(81), R(82), and R(83). a) The current revenue is $