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
9966 [12]
3 years ago
6

The supreme shipping company can load trucks with both rectangular and cylindrical containers. A rectangular container has a vol

ume of 100 feet and weighs 200 pounds. Hey cylindrical container has a volume of 200 ft.³ cubed and weighs 100 pounds. Each truck has room for at most 4200 ft.³ of containers and can carry a maximum of 4800 pounds. If the shipping company charges $60 to ship a rectangular container and $55 to ship a cylindrical container how many of each should they ship to maximize their income
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Let x be the number of rectangular containers and y the number of cylindrical containers.

Since a rectangular container has a volume of 100 ft ³and weighs 200 pounds and a cylindrical container has a volume of 200 ft.³ and weighs 100 pounds, and each truck has room for at most 4200 ft.³ of containers and can carry a maximum of 4800 pounds,

We have that the maximum volume of the truck V = 100x + 200y.

Also, the maximum weight of the truck is W = 200x + 100y

Since V = 4200 ft.³  and W = 4800 pounds,

100x + 200y = 4200 and 200x + 100y = 4800

x + 2y = 42 (1) and 2x + y = 48 (2)

Multiplying (1) by 2 and (2) by 1, we have

2x + 4y = 84 (3) and 2x + y = 48 (4)

Subtracting (4) from (3), we have

2x + 4y = 84

-

2x + y = 48

3y = 36

y = 36/3

y = 12

Substituting y into (1), we have

x + 2y = 42

x + 2(12) = 42

x + 24 = 42

x = 42 - 24

x = 18

Also, since the shipping company charges $60 for a rectangular container and $55 for a cylindrical container, the income, P = 60x + 55y

Since x = 18 and y = 12, the maximum income is P = 60x + 55y

= 60(18) + 55(12)  

= 1080 + 660

= $1740

So, the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Learn more about maximum income here:

brainly.com/question/24559594

You might be interested in
The sum of three numbers is 123. The second number is 8 more than the first. The third number is 3 times the first. What are the
Aleksandr [31]

Answer:

41 is my geuss

Step-by-step explanation:

5 0
2 years ago
What is the next fraction in this sequence? Simplify your answer. 3/4, 1/4, 1/12, 1/36
antiseptic1488 [7]
Hey their,

3/4 
1/4
1/12
1/36
0/60

The pattern is -1/x every 2 +x/8 

How i got this was 36/12=3
3*12=36
so 60-36=24
24x3/2+24=60
then 60/5=12

Hopethis helped


7 0
3 years ago
R+(-5r)<br> I really need a step by step answer
Dennis_Churaev [7]

Answer:

+×- =-

r-5r

-4r is the best answer

5 0
3 years ago
Please help me in this question.
snow_lady [41]

Answer:

Step-by-step explanation:

(i) Area of ABCD = (base1+base2)*height/2

                           = (6+12)*4/2 = 36 cm2

(ii) Volume = Area of ABCD * length = 36 * 25 = 900 cm3

(iii) Total SA = Area of ABCD *2 + 25*5*2 + 6*25 + 12*25

                    = 72                         + 250      + 150   + 300

                    = 772cm2

3 0
3 years ago
What is one property ALL quadrilaterals have ?
polet [3.4K]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches. How many inches d
    12·1 answer
  • Explain how you know that 7/12 is greater than 1/3 but less t than 2/3
    15·1 answer
  • Solve the following inequality: 4y&lt;36
    11·1 answer
  • A circular plate has circumference 17 inches. What is the area of this​ plate?
    12·1 answer
  • What is 8/6 × 5/8?<br>​
    5·2 answers
  • The random variable X has the following probability mass function.X -1 0 2 6 7P(x) 0.3 0.1 0.3 0.2 0.1Answer the next 4 question
    11·1 answer
  • What are the slope and y-intercept of the following<br> equation?<br> 2x - 4y = 16
    14·1 answer
  • Find the area of the circle with the given radius or diameter. Use = 3.14. d = 10
    11·2 answers
  • Find the perimeter of the parallelogram shown.<br> A) 36 cm<br> B) 40 cm<br> C) 46 cm<br> D) 54 cm
    10·1 answer
  • Is the sum of an odd number of consecutive<br> odd integers even or odd?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!