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
erica [24]
3 years ago
5

Select the correct location on the coordinate plane. Ruhana owns a workshop where her team of technicians refurbishes TV sets an

d DVD players, and then she sells them for a profit. She has set a weekly sales target of at least 35 TV sets or DVD players. Additionally, she must ensure that her team collectively works at least 100 hours each week. It takes 4 hours to refurbish a TV set and 2 hours to refurbish a DVD player. It costs $75 to refurbish a TV set and $40 to refurbish a DVD player. If Ruhana wants to minimize costs, which point represents the optimal number of TV sets and DVD players that her team should refurbish each week?
Mathematics
1 answer:
yarga [219]3 years ago
7 0

Answer:

Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

Step-by-step explanation:

For the given situation let the number of tv sets be x and number of dvd players be y.

Now we have to minimize the cost as it costs $75 to refurbish a tv set and $40 to refurbish a dvd player.

i.e. Minimize z=75x+40y

it gives subject to the constraints

4x+2y≥100......(1)(100 hours each week. It takes 4 hours to refurbish a tv set and 2 hours to refurbish a dvd player.)

x+y≥35.......(2)(weekly sales target is to refurbish at least 35 tv sets or dvd players.)

To plot equation (1) we need to find coordinates of points lying on line (1)

put x=0 gives 2y=100⇒y=50

put y=0 gives 4x=100⇒x=25

So we got points (0,50) and(25,0) for (1)..............(3)

Similarly for equation (2)

put x=0 gives y=35

put y=0 gives x=35

so we got points (0,35) and(35,0) for (2).................(4)

with the help of (3) and (4) we plot the following graph (assume x≥0 and y≥0)

The unbounded feasible region determined by constraints gives the corner points as A(0,50),B(15,20)and C(35,0).

from  we get the value of z is minimum at point B (15,20) .

hence we got our optimal solution at B (15,20), where x is the number of tv sets and y is the number of dvd players  .therefore Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.

You might be interested in
Myra multiplies 5 integers. The product is negative. AT LEAST, how many of the integers must be negative?
kicyunya [14]

1, If 0 are negative the product is positive, but if 2 are negative then answer is still positive. At least 1 but could also be 1,3,5.

7 0
3 years ago
Read 2 more answers
Given the equation y = 3x − 4, what is the value of y when x = 4?
Marat540 [252]

Answer:

C) 8

Step-by-step explanation:

y=3*4-4

y=12-4

y=8

5 0
3 years ago
Y= kx+m <br><br> Make x the subject
Ilia_Sergeevich [38]
Kx=y-m
x=(y-m)/k
Note that this is also standard linear form, x=y/k-m/k where slope=1/k and x intercept is -m/k.
7 0
3 years ago
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14
svet-max [94.6K]
Gallon of milk: $3.49
3lbs oranges: $1.14(3) = $3.42
Box of cereal: $3.46

Front end estimation is taking the number in front and the rest of the numbers coming after it will be zeroes.

Using front end estimation:
$3.49 => $3.00
$3.42 => $3.00
$3.46 => $3.00

Add all these up; Shen estimated the total cost of the groceries would be $9.00.
5 0
3 years ago
Read 2 more answers
Juanita bought 6 lemons. she used 2/3 of them to make lemonade. how many lemons did she used?
ivanzaharov [21]
6 times 2/3 equal to 4
Juanita ues 4 lemons to make lemonade
4 0
2 years ago
Other questions:
  • Solve for y: <br><br> 10.2=0.6y=?
    8·2 answers
  • Choose true or false. to convert 5 square meters to square yards, multiply 5 by 1.196.
    11·1 answer
  • The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x – )2 – .
    8·2 answers
  • How much of the circle is shaded 1/3+3/8
    6·1 answer
  • When two numbers are added together,their sum is 6750.The difference between the two number is 250.Find the larger number.
    7·1 answer
  • figure WXYZ is shown below. Figure WXYZ is translated up 3 units and 4 units to the right to create WXYZ. What is the measure of
    8·1 answer
  • Subtract 4’ 1” - 3’ 7”
    12·1 answer
  • A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
    13·1 answer
  • If eight donuts cost 2.99 how much does 1 donut cost
    10·1 answer
  • HELP GEOMATRY:( I’ll award brainliest:)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!