Repeat Example 1 for Maximize P = 3 x 1 − 2 x 2 + x 3 subject to x 1 − 2 x 2 + x 3 ≥ 5 − x 1 − 3 x 2 + 4 x 3 ≤ − 10 2 x 1 + 4 x 2 + 5 x 3 ≤ 20 3 x 1 − x 2 − x 3 = − 15 x 1 , x 2 , x 3 ≥ 0
Repeat Example 1 for Maximize P = 3 x 1 − 2 x 2 + x 3 subject to x 1 − 2 x 2 + x 3 ≥ 5 − x 1 − 3 x 2 + 4 x 3 ≤ − 10 2 x 1 + 4 x 2 + 5 x 3 ≤ 20 3 x 1 − x 2 − x 3 = − 15 x 1 , x 2 , x 3 ≥ 0
Maximize
P
=
3
x
1
−
2
x
2
+
x
3
subject to
x
1
−
2
x
2
+
x
3
≥
5
−
x
1
−
3
x
2
+
4
x
3
≤
−
10
2
x
1
+
4
x
2
+
5
x
3
≤
20
3
x
1
−
x
2
−
x
3
=
−
15
x
1
,
x
2
,
x
3
≥
0
Question 1:
Evaluate the following indefinite integrals.
a) (5 points)
sin(2x)
1 + cos² (x)
dx
b) (5 points) t(2t+5)³ dt
c) (5 points)
√
(In(v²)+1) 4
-dv
ข
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
1.What percent of the refunds are more than $3,500?
2. What percent of the refunds are more than $3500 but less than $3579?
3. What percent of the refunds are more than $3325 but less than $3579?
Chapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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