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
NeTakaya
3 years ago
9

Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani

ta. Each toy requires 1 hour of work from Carlo and 1 hour from Anita. Carlo cannot work more than 12 hours per week and Anita cannot work more than 24 hours per week. If each mailbox sells for $10 and each toy sells for $5, then what is their maximum possible revenue

Mathematics
1 answer:
Natali [406]3 years ago
5 0

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|

We have the constraints:

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

You might be interested in
How do you write 110% as a fraction, mixed number, or whole number?<br> pls help me :))
Mnenie [13.5K]

Answer:

10/100

Step-by-step explanation:

here you go

6 0
3 years ago
Read 2 more answers
A line with the equation y = x and a circle with the
Alik [6]

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the product of 12 and 8. Find the greatest common factor of 12 and 8. Find the least common multiple of 12 and 8. Find the
Fudgin [204]

Answer:

12x8=96, GCF is 4, LCM is 24

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
10 shared between 5 students equals how many each
masha68 [24]
10 separated into 5 groups is 10/5
5 goes into 10 2 times.
10/5=2
5 0
3 years ago
Read 2 more answers
How do I Draw the graph of the function f(x) = 3⌊x⌋ for the domain −1 ≤ x &lt; 2
oksano4ka [1.4K]
Go to the website symbolab.com 
or Mathpap.com and that should help give you your answer
8 0
3 years ago
Other questions:
  • What's the unit cube
    14·2 answers
  • A set of stacking cubes measures 2cm by 2cm by 2cm. Kathy stacks eight cubes, and marco stacks five cubes. How much greater is t
    10·1 answer
  • Multiply. Find an exact answer of 5 1/4 × 7 2/3
    14·1 answer
  • Which of the following is equivalent to 30^1/2?<br><br> 1/30^2<br> 15<br> √30<br> 1/√30
    12·1 answer
  • Help me plz people never help me
    7·2 answers
  • Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are m
    6·1 answer
  • What is the value of x help please
    5·2 answers
  • Find the quotient. 492 ÷ 4 = ? HELP PLEASE
    14·1 answer
  • Which statement is true about the graphs shown?
    7·1 answer
  • 12m+20=170 what is m?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!