4. A local club is arranging a charter flight to Hawaii. The cost of the trip is $558 each for 81 passengers, with a refund of $5 per passenger for each passenger in excess of 81. a. Find the number of passengers that will maximize the revenue received from the flight. b. Find the maximum revenue. a. The number of passengers that will maximize the revenue received from the flight is (Round to the nearest integer as needed.) b. The maximum revenue is $ A rectangular tank with a square base, an open top, and a volume of 108 ft° is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. 5. The dimensions of the tank with minimum surface area are ft. (Simplify your answer. Use a comma to separate answers.) A closed box with a square base is to have a volume of 128,625 cm°. The material for the top and bottom of the box costs $7.50 per square centimeter, while the material for the sides costs $2.50 per square centimeter. Find the dimensions of the box that will lead to the minimum total cost. What is the minimum total cost? 6. Write an equation for C(x), the cost of the box as a function of x, the length of a side of the base. C(x) = The length and width are each (0) (1)- your choice The height is (2) The minimum total cost is $ For he (1) O cm. (2) cm2. For the cm cm?. cm O cm. Al the low At the upper dooint

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. A local club is arranging a charter flight to Hawaii. The cost of the trip is $558 each for 81 passengers, with a refund of $5
per passenger for each passenger in excess of 81.
a. Find the number of passengers that will maximize the revenue received from the flight.
b. Find the maximum revenue.
a. The number of passengers that will maximize the revenue received from the flight is
(Round to the nearest integer as needed.)
b. The maximum revenue is $
A rectangular tank with a square base, an open top, and a volume of 108 ft° is to be constructed of sheet steel. Find the
dimensions of the tank that has the minimum surface area.
5.
The dimensions of the tank with minimum surface area are
ft.
(Simplify your answer. Use a comma to separate answers.)
A closed box with a square base is to have a volume of 128.625 cm. The material for the top and bottom of the box costs
$7.50 per square centimeter, while the material for the sides costs $2.50 per square centimeter. Find the dimensions of the
box that will lead to the minimum total cost. What is the minimum total cost?
6.
Write an equation for C(x), the cost of the box as a function of x, the length of a side of the base.
C(x) =
Une u a lo
the en
of th do fo in p
The length and width are each in part (d), (1)
oomect choice below d
(2)
the r bo your choice
The height is
The minimum total cost is $
0 For the leser vlue
For the
(2) O cm?.
O cm3
(1) O cm.
O cm
(d) For that solution,
O cm?.
cm.
the lowe en
At the upper endooint
duct ls thet valus
s://xlitemprod nearsoncma com/ani/y1/nrint/math
Transcribed Image Text:4. A local club is arranging a charter flight to Hawaii. The cost of the trip is $558 each for 81 passengers, with a refund of $5 per passenger for each passenger in excess of 81. a. Find the number of passengers that will maximize the revenue received from the flight. b. Find the maximum revenue. a. The number of passengers that will maximize the revenue received from the flight is (Round to the nearest integer as needed.) b. The maximum revenue is $ A rectangular tank with a square base, an open top, and a volume of 108 ft° is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. 5. The dimensions of the tank with minimum surface area are ft. (Simplify your answer. Use a comma to separate answers.) A closed box with a square base is to have a volume of 128.625 cm. The material for the top and bottom of the box costs $7.50 per square centimeter, while the material for the sides costs $2.50 per square centimeter. Find the dimensions of the box that will lead to the minimum total cost. What is the minimum total cost? 6. Write an equation for C(x), the cost of the box as a function of x, the length of a side of the base. C(x) = Une u a lo the en of th do fo in p The length and width are each in part (d), (1) oomect choice below d (2) the r bo your choice The height is The minimum total cost is $ 0 For the leser vlue For the (2) O cm?. O cm3 (1) O cm. O cm (d) For that solution, O cm?. cm. the lowe en At the upper endooint duct ls thet valus s://xlitemprod nearsoncma com/ani/y1/nrint/math
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