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?
the correct answer is Ccould you please show me how to do it using the residue theorem
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
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