Profit The profit P (in dollars) made by a cinema from selling x bags of popcorn can be modeled by P = 2.36 x − x 2 25 , 000 − 3500 , 0 ≤ x ≤ 50 , 000 . (a) Find the open intervals on which P is increasing and decreasing. (b) If you owned the cinema, what price would you charge to obtain a maximum profit from popcorn sales? Explain your reasoning.
Profit The profit P (in dollars) made by a cinema from selling x bags of popcorn can be modeled by P = 2.36 x − x 2 25 , 000 − 3500 , 0 ≤ x ≤ 50 , 000 . (a) Find the open intervals on which P is increasing and decreasing. (b) If you owned the cinema, what price would you charge to obtain a maximum profit from popcorn sales? Explain your reasoning.
Solution Summary: The author calculates the open intervals in which P (in dollars) is increasing and decreasing, where P profit earned by a cinema from selling x bags of popcorn is decreasing.
In the xy-plane, the graphs of the linear
function and the exponential function E
both pass through the points (0,2) and (1,6)
The function f is given by
f(x) = L(x) - E(x). What is the maximum
value of f?
A
0.007
B
0.172
C
0.540
D 1.002
n
3
5
ст
7
ап
85
95
105
The table gives values of an arithmetic
sequence an for selected values of n. Which
of the following linear functions is
αρ
constructed from the initial value an (with
n = 0) and common difference of the
sequence?
A
f(x) = 70+5x
B
f(x) = 70+10x
C
f(x) = 75+5x
D
f(x) = 75+10x
3. Submit answer Practice similar
Calculate the integral approximation Se for
So
dz.
L-de
4
1.
Submit answer
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY