bloodstream, measured in with a quadratic function. In 50 minutes the concentrat
ID: 3169649 • Letter: B
Question
bloodstream, measured in with a quadratic function. In 50 minutes the concentration is 93.75 parts per million. The maximum concentration of the drug in the bloodstream occurs in 225 minutes and is 400 parts per million. parts per million, can be modeled mation: a. Find a quadratic function that models the concentration s the profit efined to be so that of the drug as a function of time in minutes b. After the concentration peaks, eventually the drug will be eliminated from the body. How many minutes will it take until the concentration finally reaches 0? ds at price p is 86, Revenue. Jeff operates a mobile car washing business. When he charged $20 a car, he washed 70 cars a month He raised the price to $25 a car and his business dropped to 50 cars a month. on to the level variable costs ducing a. Find a linear function that represents the demand equation (the price per car as a function of the number of cars washed). b. Find the revenue function R(x) = . c. How many cars should he wash to maximize the revenue? d. What price should he charge to maximize revenue?Explanation / Answer
a)
Identify two point as (70, 20) and (50,25)
Find slope = (25 -20)/(50-70) = -1/4
Use point-slope formula,
p-20 = (-1/4)(x-70)
p-20 = -0.25x +17.5
p= -0.25x +37.5
b)
R(x) =xp
=x ( -0.25x +37.5)
= -0.25x² +37.5x
c)
x = -b/2a
= (-37.5)/(2 *(-0.25))
=75
Thus , 75 cars should be wash
d)
p(75) =-0.25(75) +37.5 =$18.75
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.