1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hoa [83]
2 years ago
9

Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins

and 160 standard cabins, whereas a type-B vessel has 80 deluxe cabins and 120 standard cabins. Under a charter agreement with Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 680 standard cabins for their 15-day cruise in May. It costs $42,000 to operate a type-A vessel and $51,000 to operate a type-B vessel for that period. How many of each type of vessel (x type-A and y type-B) should be used in order to keep the operating costs to a minimum
Mathematics
1 answer:
bixtya [17]2 years ago
8 0

Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.

Step-by-step explanation: As it is stipulated, <u>x</u> relates to type-A and y to type-B.

Type-A has 60 deluxe cabins and B has 80. It is needed a minimum of 360 deluxe cabins, so:

60x + 80y ≤ 360

For the standard cabin, there are in A 160 and in B 120. The need is for 680, so:

160x + 120y ≤ 680

To calculate how many of each type you need:

60x + 80y ≤ 360

160x + 120y ≤ 680

Isolating x from the first equation:

x = \frac{360 - 80y}{60}

Substituing x into the second equation:

160(\frac{360 - 80y}{60}) + 120y = 680

-3200y+1800y = 10200 - 14400

1400y = 4200

y = 3

With y, find x:

x = \frac{360 - 80y}{60}

x = \frac{360 - 80.3}{60}

x = 2

To determine the cost:

cost = 42,000x + 51,000y

cost = 42000.2 + 51000.3

cost = 161400

To keep it in a minimun cost, it is needed 2 vessels of Type-A and 3 vessels of Type-B, to a cost of $161400

You might be interested in
Six and four fifths divided by three and two ninths
ahrayia [7]
Its going to be 4 .............
4 0
3 years ago
Factor completely 2x^2+6x-80
Rom4ik [11]

Answer:

x= -8 , x=5

Step-by-step explanation:

2x^2+6x-80=0

x^2+3x-40=0

look for 2 numbers that their:

sum = 3

product = -40

(x+8)(x-5)=0

thus

x= -8 , x=5 (ANS)

7 0
3 years ago
A colony of bacteria is growing exponentially according to the function below, where t is in hours. About how many hours will it
Ivenika [448]
The function is:
B ( t ) = 4 * e^(0.8 t)
4 * e^(0.8 t) = 400
e^(0.8 t) = 400: 4
e^(0.8 t) = 100   / ln
ln e^(0.8 t) = ln 100  ( and since: ln e = 1 and ln e^x = x * ln e )
0.8 t = 4.6
t = 4.6 : 0.8 = 5.76 ≈ 6
Answer:
D ) 6 hours.
4 0
3 years ago
(ノ◕ヮ◕)ノ*:・゚✧PLEQASE HELP QUICK!!!! What is the exact volume of cylinder with a height of 40 inches and a radius of 16 inches ___
Delicious77 [7]
I can't resist helping someone with magic <span>(ノ◕ヮ◕)ノ*:・゚✧

The formula for the volume of a cylinder is pi x r^2 x h.
That's 10240 x pi or 3</span><span>2169.91

</span>(ノ◕ヮ◕)ノ*:・゚✧ woosh you now have smol pener
5 0
3 years ago
HURRY UP YALL FIRST ANSWER GETS BRAINLIESTTT
Orlov [11]

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • A baseball player has 546 plate appearances in his first year, 627 plate appearances in his second year, and 712 plate appearanc
    8·2 answers
  • PLEASE TELL ME IF YOU DO I WILL GIVE YOU THESE POINTS IF YOU DON'T I WILL HUNT YOU DOWN WITH THE MODERATOR Thank you!
    7·2 answers
  • which shape had a larger area: a rectangle that is 7 inches by 3/4 inch, or a square with side length of 2.5 inches? Show your r
    6·1 answer
  • A small piece of metal weighs 0.77 gram what is the value of the digit in the tenths place
    5·1 answer
  • What is the surface area
    6·1 answer
  • Find the value of x.
    6·1 answer
  • Which of the ordered pairs in the form (x, y) is a solution of this equation?
    14·1 answer
  • Annie wants to eat an entire donut. However, since she only two-years-old, the mother says she can
    11·1 answer
  • The slope of a vertical line is _____<br> the slope of a horizontal line is ______
    5·1 answer
  • Complete the equation describing how x<br> and y are related.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!