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hoa [83]
3 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]3 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

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tamaranim1 [39]

Answer:

-8.05

Step-by-step explanation:

In order to solve for C you first have to subtract 17.6 from both sides.

2c=(6/4)-17.6

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1.5-17.6=-16.1

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8 0
3 years ago
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borishaifa [10]

Answer:

D. 59.66

Step-by-step explanation:

The formula is <em>A = \pi r^{2}[/tex\ Also the radius is half of the diameter. and [tex]\pi = 3.14</em>

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9 x 9 = 81

81 x 3.14 = 254.34

Next circle.

10 x 10 = 100

100 x 3.14 = 314

Now to find the difference.

314 - 254.34 = 59.66

59.66

Hope this helped! Please mark as brainliest! Thanks!

5 0
3 years ago
Write the equation of the circle with a radius 7 and center (13, 15).<br><br><br> HELP ASAP!!!
ruslelena [56]

Answer:

Option b is the correct answer

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Step-by-step explanation:

(x - 13)^2 + (y - 15)^2 = 7^2

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2 years ago
Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi
Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

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Stolb23 [73]

Answer:

Option d. the initial amount of money placed in the savings account

Step-by-step explanation:

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(1+r)=1.03

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