Let RX), C(x), and P(x) bo, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x t
Posted: Tue May 10, 2022 7:36 pm
Let RX), C(x), and P(x) bo, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x toms. If /x) #5x and CIX)=0.002X2 +1.7x+40, find each of the following a) PIX) b) R(100), C(100), and P(100) c) R (X). C'(x), and PX) d) R (100)C'(100), and P (100)
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x) = 0.005% +0.04x2 +0,4%. Currently, Pierce sells 70 lawn chairs daily a) What is the current daily revenue? b) How much would revenue increase if 75 lawn chairs were sold each day? c) What is the marginal revenue when 70 lawn chairs are sold daily? d) Use the answer from part) to estimate R(71). R(72), and R(73)
The demand, D, for a new rollerball pen is given by D=0.008p. - 0.4p? + 150p, where p is the price in dollars. a) Find the rate of change of quantity with respect to price, d/dp. b) How many units will consumers want to buy when the price is $25 per unit? c) Find the rate of change at p=25, and interpret this result d)Would you expect dD/dp to be positive or negative?
12x+2500 The average cost for a company to produce x units of a product is given by the function Alx) = Use A () to estimate the change in average costas production goes from 250 units to 251 units. The change in average cost is approximately Idollars,
O Points of Save For y=10%) = 4x x x = 4, and Ax=0,04 find a) Ay for the given x and Ax values b) dy=f'(x)dx c) dy for the given X and Ax values
U POSSON OVU For y=f(x)= 6x-7, x=2, and Ax=3 find a) Ay for the given X and Ax values, b) dy='xdx c) dy for the given x and Ax values.
Certain chemotherapy dosages depend on a patient's surface area. According to the Gohan and George model, S002235 042245 16 wat is the patient's height in centimeter, wis his or her weight in kilograms, and is the approximation to his or her surface are in square meters. Joanne whoreh 160 cm tall and weight 70 kg. Use a differential to estimate how much her surface aron changes after her weight decreases by 2 kg Joanne's surface area changes by approximately (Round to five decimal places as needed)
A painting fem contracts to paint the exterior of a larger water tank in the shape of a hall.dome (a hemisphere). The radius of the tank be measured to be 150 ft with a tolerance of t9in(10.75 +1) (The formula for the surface area of a hemisphere is A=23490 3,14 as an approximation for) Each can of paint costs $40 and covers 300 m2 a) Calculated, the approximate difference in the surface aron due to the tolerance b) Assuming the painters carinot bring curtial cans of point to the lob, how many extra carn thould they brina to cover the extra arou the mov a) DA (Simplify your answer)
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x) = 0.005% +0.04x2 +0,4%. Currently, Pierce sells 70 lawn chairs daily a) What is the current daily revenue? b) How much would revenue increase if 75 lawn chairs were sold each day? c) What is the marginal revenue when 70 lawn chairs are sold daily? d) Use the answer from part) to estimate R(71). R(72), and R(73)
The demand, D, for a new rollerball pen is given by D=0.008p. - 0.4p? + 150p, where p is the price in dollars. a) Find the rate of change of quantity with respect to price, d/dp. b) How many units will consumers want to buy when the price is $25 per unit? c) Find the rate of change at p=25, and interpret this result d)Would you expect dD/dp to be positive or negative?
12x+2500 The average cost for a company to produce x units of a product is given by the function Alx) = Use A () to estimate the change in average costas production goes from 250 units to 251 units. The change in average cost is approximately Idollars,
O Points of Save For y=10%) = 4x x x = 4, and Ax=0,04 find a) Ay for the given x and Ax values b) dy=f'(x)dx c) dy for the given X and Ax values
U POSSON OVU For y=f(x)= 6x-7, x=2, and Ax=3 find a) Ay for the given X and Ax values, b) dy='xdx c) dy for the given x and Ax values.
Certain chemotherapy dosages depend on a patient's surface area. According to the Gohan and George model, S002235 042245 16 wat is the patient's height in centimeter, wis his or her weight in kilograms, and is the approximation to his or her surface are in square meters. Joanne whoreh 160 cm tall and weight 70 kg. Use a differential to estimate how much her surface aron changes after her weight decreases by 2 kg Joanne's surface area changes by approximately (Round to five decimal places as needed)
A painting fem contracts to paint the exterior of a larger water tank in the shape of a hall.dome (a hemisphere). The radius of the tank be measured to be 150 ft with a tolerance of t9in(10.75 +1) (The formula for the surface area of a hemisphere is A=23490 3,14 as an approximation for) Each can of paint costs $40 and covers 300 m2 a) Calculated, the approximate difference in the surface aron due to the tolerance b) Assuming the painters carinot bring curtial cans of point to the lob, how many extra carn thould they brina to cover the extra arou the mov a) DA (Simplify your answer)