A fishing boat captain charges $ 250 for an excursion. His fixed monthly expenses are $ 1200 for insurance, rent for the dock, and minor office expenses. He also has variable costs of $ 100 per excursion to cover gasoline, bait, and other equipment. a. Write a linear cost function representing the cost C x in $ for the fishing boat captain to run x excursions per month. b. Write a linear revenue function representing the revenue R x in $ for x excursions per month. c. Determine the number of excursions per month for the captain to break even. d. If 18 excursions are run in a given month, how much money will the fishing boat captain earn or lose?
A fishing boat captain charges $ 250 for an excursion. His fixed monthly expenses are $ 1200 for insurance, rent for the dock, and minor office expenses. He also has variable costs of $ 100 per excursion to cover gasoline, bait, and other equipment. a. Write a linear cost function representing the cost C x in $ for the fishing boat captain to run x excursions per month. b. Write a linear revenue function representing the revenue R x in $ for x excursions per month. c. Determine the number of excursions per month for the captain to break even. d. If 18 excursions are run in a given month, how much money will the fishing boat captain earn or lose?
Solution Summary: The author explains that a fishing boat captain charges 250 for an excursion while his fixed monthly expenses are
A fishing boat captain charges
$
250
for an excursion. His fixed monthly expenses are
$
1200
for insurance, rent for the dock, and minor office expenses. He also has variable costs of
$
100
per excursion to cover gasoline, bait, and other equipment.
a. Write a linear cost function representing the cost
C
x
in $
for the fishing boat captain to run
x
excursions per month.
b. Write a linear revenue function representing the revenue
R
x
in $
for
x
excursions per month.
c. Determine the number of excursions per month for the captain to break even.
d. If
18
excursions are run in a given month, how much money will the fishing boat captain earn or lose?
Ministry of Higher Education &
Scientific Research
Babylon University
College of Engineering-
Al musayab
Subject :Numerical Analysis
Stage:Third
Time: 2 hour
Automobile Department
Date:26-3-2023
nd
1st month exam/2"
semester (2022-2023)
Note: Answer all questions, all questions have same degree.
Q1: Use Newton's method to find solutions to the system with two
step Take (X,Yo)=(8,10).
{
x35x2 + 2xy + 13 = 0
x3 + x²-14x-y-19=0
Q2/:Solve the system by Gauss-Seidel iterative method.(Perform only
three iterations).
8x-3y+2z-20
4x+11y-z-33
6x+3y+12z-35
03/:Curve fit the data using a power function
X
2
4
8
5
6
0.7500
0.1875
0.1200
0.0833
0.0469
University of Babylon
Faculty of Engineering-AlMusyab
Automobile Eng. Dep.
Year: 2022-2023,
2nd Course, 1 Attempt
Stage: Third
Subject: Numerical
Analysis
Date: 2023\\
Time: 3 Hour
dy
= x + yl
Q5-A: Using Euler's method, find an approximate value
of (y) corresponding to (x=0.3),given that[-
and [y=1 when x=0].(taking h=0.1).
dx
(10 M)
Q5-B Find a root of an equation[f(x)=x-x-1] using
Newton Raphson method to an accuracy of &=0.
(10 M)
Q6:Using Newton's divided differences formula, evaluate
f(8) given:
X
4
58 7 103 11
13
Y=f(x)
48
100
900
294
1210
2028
(20 M)
Lexaminer:
Examiner:
Good luck
W
Head of Department:
Explain the conditions under which the Radius of Convergence of the Power Series is a "finite positive real number" r>0
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