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
I am Lyosha [343]
3 years ago
11

A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. O

ne mix will contain half nuts and half raisins and will sell for $7 per kg. The other mix will contain 3/4 nuts and 1/4 raisins and will sell for $9.50 per kg.
How many kilograms of each mix should be company prepare for the maximum revenue? Find the maximum revenue.
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

1. 7x + 9.5y

2. 1980

Step-by-step explanation:

In Mix A, there is an equal amount of nuts and raisins.

Let x = kg of nuts = kg of raisins.

In Mix B, there is 3 times as much nuts as raisins.

Let y = kg of raisins, then 3y = kg of nuts.

We have this information:

           Nuts    Raisins   Price  

mix A    x   +   x     =  $ 7.00

mix B    3y  +  y     =  $  9.50

Total:   150   90

Hence, the number of kilograms of each mix should company prepare for the maximum revenue is = 7x + 9.5y

We have these inequalties:

{x≥0y≥0x+3y≤150x+y≤90} (equation 1)

There will be

x+x=2x kg of Mix A at $7.00 per kg.

The revenue from Mix A is:

7(2x)=14x dollars.

There will be

3y+y=4y kg of Mix B at $9.50 per kg.

The revnue from Mix B is:

9.5(4y)=38y dollars.

Hence, the total revenue is:

R=14x+38y (equation 2).

Graph the region determined by [1] and locate its vertices.

You should get:

(0,0),(90,0),(0,50),(60,30)

Test the vertices into [2] and see which vertex produces maximum revenue

(0,0): R=14(0)+38(0)=0 Minimum revenue

(90,0):R=14(90)+38(0)=1260

(0,50): R=14(0)+38(50)=1900

(60,30):R=14(60)+38(30)=1980 Maximum revenue.

You might be interested in
What is the solution of the inequality shown below X-3>7
True [87]

Step-by-step explanation:

x-3>7 =>

x>10

hope this helps

5 0
3 years ago
Write an equation of the line passing through the point A(3,−4)
Valentin [98]
Answer:

Is there a picture
7 0
2 years ago
(a) A tram moved upward 3 meters per second for 18 seconds. What was the total change in the
Goshia [24]

Answer:

54

Step-by-step explanation:

3 times 18 = 54

5 0
3 years ago
Which proportion correctly shows the equivalence of two fractions?
lyudmila [28]

Answer:

B is your answer.

Step-by-step explanation:

Depends on 18/36 = 72/444, because 444 doesn't make sense at all. None of the others are equivalent. If it's 72/144 then this is the answer

Hope this helps.

7 0
3 years ago
10) Will mark BRAINLIEST + 10 POINTS :)
Mariana [72]
Answer is A.

√6 + √2
----------
     4
4 0
3 years ago
Read 2 more answers
Other questions:
  • Why can a fraction, a decimal, or a percent be written in equivalent forms?
    15·1 answer
  • A motorcycle costs 3124 whats is the value of each digit
    15·2 answers
  • What formula is used to find the circumference of a circle?<br><br> isn't it C = 2πr ?
    8·2 answers
  • What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-18, -23) ?(−18,−23)? Write your answer in the
    14·1 answer
  • You need to measure a nail in centimeters, but you only have a standard ruler. The nail measures one inch long. About how many c
    8·2 answers
  • What's the slope of y=x+5
    11·2 answers
  • Please help me with question 2
    13·2 answers
  • marcus and anthony are selling camping equipment to try to earn money to buy three new gaming systems. Last month they sold back
    15·1 answer
  • Sara uses 7.6 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is
    9·1 answer
  • One of the roots of the equation 27x^2 + bx + 8 =0 is known to be the square of the other. Find b​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!