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
LuckyWell [14K]
3 years ago
6

Determine the maximum value of the objective function, P.

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0

Answer:

Maximum (250,125) Answer

Step-by-step explanation:

This is more of a graphing problem than it is anything else.

Begin by graphing all 4 given equations.

When you do that, mark the intersection points of at least 2 lines. In this case it is exactly 2 lines for each intersecting point.

6x + 4y <= 2000 and 2x + 4y <= 1000 intersect at (250,125)

x=>0 and y=>0 intersect at (0,0)

6x + 4y <=2000 and x => 0 intersect at 333.333

2x + 4y <=1000 and y>=0 intersect at  0,250.

Any other intersection points fall outside the range of the givens. The shaded part we are interested in is sort of a very dark green/blue. It is the interior of the quadrilateral determined by the 4 vertices that are marked.

Now all you have to do is determine the maximum point using P=15x + 12y

For 0,0                 P = 15*0 + 12,0 = 0

For 0,250            P = 15*0 + 12*250 = 3000

For 333.3333,0   P = 15*333.3333 + 12*0 = 5000 rounded.

For 250,125        P = 15*250 + 12*125 = 5250  Which is the maximum

Answer (250,125) produces the maximum value Answer

You might be interested in
Solve the following math problem and give me an example please C/-7+3.2=2.7
jasenka [17]
C/-7+3.2=2.7

Step 1) Add 7 to both sides because what you do to one side you must do to the other
         C/<u>-7</u>+3.2=<u>2.7</u>
          <u>  +7          +7
</u>          C/+3.2=9.7

Step 2) Subtract 3.2 from both side
          C/<u>+3.2</u>=<u>9.7
</u>          <u>    -3.2   -3.2
</u>              C/=6.5

Your answer is C=6.5<u>

</u>
4 0
3 years ago
HELPPPPP PLEASEEEEEE !!!!!!!A recipe requires x number of cups of flour to produce y number of servings.
Makovka662 [10]
Looking at 1 1/2 makes 12 cups, you can divide them to see the total of cups it would make with one cup of flower. 1 1/2 is equal to 1.5 , and with that information we do 12 divided by 1.5 which is 8. the answer is 8 per 1 cup of flower.
8 0
3 years ago
Read 2 more answers
Donna read 18 out of 30 pages in her book.What percent of the book did she read?​
inysia [295]

Answer:

60

Step-by-step explanation:

18 /30 is .6. So the answer would be 60 percent

6 0
3 years ago
Read 2 more answers
Jill bought a house for $250,000. The expected depreciation of a house is 18% a year. When will her
MrMuchimi

Answer is 1 year 1 month and 5 days

7 0
3 years ago
Find the side lengths the cube X
s344n2d4d5 [400]

Answer:

x = 6

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular end and l is its length )

A = \frac{1}{2} bh = 0.5 × 9 × 4 = 18 cm² , then

V = 18 × 12 = 216 cm³

The volume of a cube is

V = s³ ( s is the side length ) , so

s³ = x³ = 216 ( take the cube root of both sides )

x = \sqrt[3]{216} = 6

7 0
2 years ago
Other questions:
  • one bag of pretzels costs three dollars.five bags of pretzels costs $10.whickhas the lower unit price?
    5·2 answers
  • How to do this please help!
    7·1 answer
  • Help!!!!!!!!!!!!!!!!! I need the answer ASAP
    9·1 answer
  • 11) Cyndi deposits three checks for $425.22, $883.99, and $57.05. She also deposits cash of 45 one-
    10·2 answers
  • 3) 2(x - 10) + 1 = 60
    11·1 answer
  • Y+9 – x; use x = 1, and y = 3
    14·1 answer
  • 1 rounded to the nearest thousandth and 100 rounded to the nearest thousandth?
    15·1 answer
  • What’s the solution to the system of equations
    10·1 answer
  • Noah solved three math problems. The first problem took him 1 minute. The second problem took him 30% longer than the first prob
    11·1 answer
  • Can somebody help me with this please ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!