1. When x gallons of olive oil are produced the profit function is given by P(x) = -: (i) Find the value of x that maximizes the profit. (ii) What is the amount of this maximum profit? + 2x – 1000. 5000

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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(a) Ji (8x+1)3/2 dx,
1. When x gallons of olive oil are produced the profit function is given by
P(x) = --
(i) Find the value of x that maximizes the profit.
(ii) What is the amount of this maximum profit?
+ 2x – 1000.
5000
2. Determine all local optimum points and all inflection points of
f(x) = -x – 12x² – 45x + 2.
3. (a) (2x --) dx.
(b) S (5 + 5VE + 15e-0.2t)dt
4x/3
4. Evaluate the following definite integrals:
30
18
10
(b) SB.
dt
(0.5t+16)7
Transcribed Image Text:(a) Ji (8x+1)3/2 dx, 1. When x gallons of olive oil are produced the profit function is given by P(x) = -- (i) Find the value of x that maximizes the profit. (ii) What is the amount of this maximum profit? + 2x – 1000. 5000 2. Determine all local optimum points and all inflection points of f(x) = -x – 12x² – 45x + 2. 3. (a) (2x --) dx. (b) S (5 + 5VE + 15e-0.2t)dt 4x/3 4. Evaluate the following definite integrals: 30 18 10 (b) SB. dt (0.5t+16)7
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