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
Yakvenalex [24]
3 years ago
13

5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (

denoted by A and B) in need One DA costs one unit of A, one unit of B: one GA costs one unit of A, two units of B. You get $3000 when you sell one DA and $5000 for one GA. The supply of the two materials every day is 12,22. a)What is the maximal profit $ b) How many DA and GA should be produced every day to obtain this maximal profit? Number of DA = Number of GA
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

Answer:

  • a) $56000
  • b) DA = 2, GA = 10

Step-by-step explanation:

<u>Given</u>

  • DA = A + B ⇒ $3000
  • GA = A + 2B ⇒ $5000
  • Number of A = 12
  • Number of B = 22

<u>We can see from the equations that</u>

  • GA - DA = B ⇒ $2000 and
  • A = $1000 and B = $2000 in terms of profit

<u>So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.</u>

  • A + B = 12
  • A + 2B = 22

Is the equation set to indicate use of the units A and B

<u>Solving we get </u>

  • A = 2 and
  • B = 10

<u>It this case all the units are used and profit is maximum</u>

  • 2*$3000 + 10*$5000 = $56000
  • Number of DA = 2
  • Number of GA = 10
You might be interested in
The rectangle shown has a perimeter of 156 cm and the given area. Its length is 6 more than five times its width.
Stells [14]
P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
156=2(6+6w)
156=12+12w
12+12w=156
12w=156-12
12w=144
w=12cm

l=6+5•12
l=6+60
l=66cm
8 0
2 years ago
The lines on a 2-cup liquid measuring cup divide each cup into eighths. If you measure 1 3/4 cups of water, between which two qu
masya89 [10]

Answer:

1 3/4 cups is between the 13th and 15th lines from the bottom.

Step-by-step explanation:

The bottom of the cup has no line and corresponds to 0 eights.

1st line up: 1/8 cup  

2nd line up: 2/8 cup    this is also called 1/4 cup

3rd line up: 3/8 cup

4th line up: 4/8 cup     this is also called 1/2 cup

5th line up: 5/8 cup

6th line up: 6/8 cup     this is also called 3/4 cup

7th line up: 7/8 cup

8th line up: 8/8 cup     this is also called 1 cup

9th line up: 9/8 cup

10th line up: 10/8 cup    this is also called 1 1/4 cup

11th line up: 1 3/8 cup

12th line up: 1 4/8 cup     this is also called 1 1/2 cup

13th line up: 1 5/8 cup

14th line up: 1 6/8 cup    this is also called 1 3/4 cup

15th line up: 1 7/8 cup

16th line up: 1 8/8 cup    this is also called 2 cups

1 3/4 cups is between the 13th and 15th lines from the bottom.

7 0
3 years ago
Simplify<br><br>pls help me ASAP
Strike441 [17]

\dfrac{\left(\dfrac{4}{3}ab^3\right)\left(\dfrac{6}{2}a^4\right)}{a^5}=\dfrac{\left(\dfrac{\not4^2}{\not3_1}\cdot\dfrac{\not6^2}{\not2_1}\right)(aa^4)(b^3)}{a^5}=\dfrac{4a^5b^3}{a^5}=\boxed{4b^3}

3 0
3 years ago
Who ever helps get branliest.​
andrew11 [14]

Answer:

c ?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which shows a perfect square trinomial?
anastassius [24]
The answer is <span>c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer
8 0
3 years ago
Read 2 more answers
Other questions:
  • A person places $661 in an investment account earning an annual rate of 7.1\% , compounded continuously . Using the formula V =
    5·1 answer
  • Find all the points having an x coordinate of 1 whose distance from the point (-2,-3) is 5
    15·1 answer
  • AMA basketball player is 78 inches tall. What is his height in feet?
    9·2 answers
  • I need help please, i don’t not understand
    12·1 answer
  • How do I work this out???
    6·1 answer
  • If john works 20 hours a week and gets a fixed amount of 4 dollars for the first 8 hours and an additional 2 dollars for each ad
    11·1 answer
  • In which quadrant does 694 lie?
    11·1 answer
  • Explain why 3(x+4)=2(x-5) has one solution.
    15·1 answer
  • Which which book did Khaptad swami written?<br>​
    11·2 answers
  • Given h(x)=5x+1, find h(2)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!