here as we are predicting profit based on given equation which depends on number of sales
here n, number of sales is independent variable.
The profit of a business can be approximated by the equation P 3.25n-1500 where n is...
The population of a certain country is approximated by the following equation, where x is the number of years since 1980 and P is the population in millions. P=2.993x+126.554 Determine the year in which the country had or will have a population of 207,649,000207,649,000
sing, do and Johnson Business The cost and revenue for Johnson Inc., can be respectively approximated by 0 Cr)0021x'+ 0159x3 3.1442x + 24.1502 0sxs 8), cally or tervals s for ontal and Rx)0x 13352+38922x +289465 Osxs8), , and the where x-0 corresponds to the year 2000.t Determine the intervals within (0, 8) where the profit function is increasing. in- no
The demand for a product can be approximated by q=D(p)=80e−0.01p, where p represents the price of the product, in dollars, and q is the quantity demanded. (a) Find the elasticity function: E(p)= (b) Evaluate the elasticity at 5. E(5)= (c) Should the unit price be raised slightly from 5 in order to increase revenue? ? yes no (d) Use the elasticity of demand to find the price pp which maximizes revenue for this product. p=p= Round to three decimal places as needed.
The average price of a ticket to a baseball game can be approximated by P(x)=0.03x2 +0.52X +6.09, where x is the number of years after 1991 and p(x) is in dollars. a) Find p(4). b) Find p(14) p(14) - P(4) c) Find p(14) - P(4). 14-4 and interpret this result d) Find a) Find p(4). (Simplify your answer.)
The population P of Texas6 (in millions) from 2001 to 2010 can be approximated by the model p=20.871e^0.0188t , where t is the year, with t=1 corresponding to 2001. According to the model, where year will the population reach 30 million? To find answer, do you have to use interpolation or exterpolation?
the profit for a product can be described by the function p(x)=-0.4x^2+280-24000, where ex is the number of units produced and sold. (a) to maximize profit, how many units must be produced and sold? (b) What it the maximum possible profit? (c) Producing and selling how many units will result in a profit of at least $9000?
у 1200- A firm has the marginal profit function below, where P(x) is the profit earned at x dollars per unit. dP 9000 - 3000x dx (x2 - 6x+ (+10) 2 600- 0- LY 6 8 -600- The graph of this function is shown to the right. Find the total-profit function given that P = $1500 at x = $3. -1200- How can the total-profit function be found? A. Substitute the given value of P into the marginal-profit function and...
3. The population of a city is given by P 250000(1.25)n/20 where n is the n years after 2005. What is the population in 2035. 5 Marks 4. The sales of a small company were $ 27000 in its 2md operation and S 63000 in its 5 year of operation. Assume that the data can be year. Let y represent sales in the 10 approximated by a straight line. a. Find the slope of the sales line and give an...
1) The profit equation for a taco stand is given by P(x) = -0.4x2 + 100x - 100, where x is the number of tacos sold, and P(x) is the profit in dollars. Use the first-derivative test to find when relative extrema occur. 2) The cost equation for a bakery is given by C(x) 10(x - 2)2 - 120(x - 2) 450, where x is the number of doughnuts made (in dozens), and C(x) is the cost in dollars. Use...
The far-zone electric field of an antenna can be approximated by P.11-add3 The far-zone electric field of an antenna can be approximated by le jkr Je cos? 0, 0sos E. = { r otherwise E = 0. Find The half power beamwidth in the xz- and yz- planes. The directivity Do. The approximate directivity Do using equation Do = 0.787 the (3.108) on p. 7, Lec_22. (Bu12), (Bv2) -nimi 47 / XZ yZ