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
Solve to find x 3/4 (5x-3) + 8 = 17
Talja [164]

Answer:

3

Step-by-step explanation:

3/4 (5x -3)+8=17

3/4 (5x -3) = 17 - 8 = 9

(5x -3) = 9 * (4/3)= 36/3 = 12

5x = 12 + 3 = 15

x = 3

6 0
3 years ago
Tammy scored 88, 72, 44 points on her first three test. What must she score in her last test to get at least an average of 70?
lara [203]

Answer:

76

Step-by-step explanation:

(88+72+44+x)/4=70

88+72+44+x=280

204+x=280

x=76

Therefore, Tammy needs to score a 76 on her last test to get at least an average of 70.

5 0
3 years ago
How would you draw this using a diagram?
ki77a [65]
Where is the diagram?
7 0
3 years ago
Tyler's brother Works
love history [14]

Answer: $12.60 per hour

Step-by-step explanation:

5% of 12 is 0.60

12 + 0.60 = 12.60

Hope you have a great day

6 0
2 years ago
Read 2 more answers
A radar is designed to report the track of an aircraft every 2 seconds. If this radar reports 15 reports 15 tracks in one minute
meriva

Answer:

Step-by-step explanation:

Since radar reports 30 tracks in one minute in which 60 seconds makes 1 minute

Let calculate using this formula

Using this formula

Percentage of time=Tracks reported in minutes/60 seconds*100

Let plug in the formula

Percentage of time=30 tracks/60 seconds*100

Percentage of time=0.5*100

Percentage of time=50%

Inconclusion The percentage of the time that  radar track the aircraft is 50%

5 0
3 years ago
Read 2 more answers
Other questions:
  • 11) 19, 13, 7, 1...
    14·1 answer
  • The fence is 68 feet long and 1/2 feet thick. 7 feet of space is between each post. How many posts are used for the fence. I thi
    9·1 answer
  • A loan of $990 was repaid at the end of 6 months with a check for 1015. What annual interest was charged
    7·1 answer
  • Bob left home, riding his bike at a rate of 10mph to go to the lake. Cheryl, his wife, left 45 minutes ( 0.75 hours) later, driv
    5·1 answer
  • PLEASE ANSWER ASAP!! The carpet used in Parker's bedroom covers an area of 121 square feet. If the carpet is
    7·1 answer
  • 6 4/5+3 7/10 reduced to lowest form
    11·2 answers
  • A recipe calls for mixed nuts with 50% peanuts. 1/2 pound of 15% peanuts has already been used. How many pounds of 75% peanuts n
    8·1 answer
  • An empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride . The weight of the flask and carbon
    9·1 answer
  • There is a proportional relationship between a volume measured in cups and the same volume measured in tablespoons. 48 tablespoo
    5·2 answers
  • Hi!! Can someone plsss help me
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!