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
yulyashka [42]
3 years ago
15

A farmer has 20 acres to plant in wheat and barley. He has to plant at least 15 acres. Wheat costs $200 per acre to plant and ba

rley costs $150 per acre, and the farmer has only $2400 to spend. If the estimated profit of an acre of wheat is $450 and the estimated profit of an acre of barley is $350, how many acres of each should the farmer plant to maximize his profits?

Mathematics
1 answer:
maria [59]3 years ago
4 0

Answer:

  • 16 acres of barley only (no acres of wheat)

Step-by-step explanation:

A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...

  (wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}

The profit associated with these scenarios will be ...

  for (0, 16): 16·350 = 5600

  for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550

To maximize profit, the farmer should plant 16 acres of barley.

You might be interested in
Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item pro
OleMash [197]

Answer:

P(A∣D) = 0.667

Step-by-step explanation:

We are given;

P(A) = 3P(B)

P(D|A) = 0.03

P(D|B) = 0.045

Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.

Using Bayes' Rule and Law of Total Probability, we will get;

P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]

Plugging in the relevant values, we have;

P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]

P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]

P(B) will cancel out to give;

P(A∣D) = 0.09/0.135

P(A∣D) = 0.667

7 0
3 years ago
Write the equation of a line parallel to the line 2x + 3y = 5 and passes through the point (9, -3)
madreJ [45]
Paralell is smae slope so it is
2x+3y=c
find c

given
(9,-3)
x=9
y=-3
evaluate to find the constant, c

2(9)+3(-3)=c
18-9=c
9=c

the equation is 2x+3y=9
4 0
3 years ago
Hank was watching the winter Olympics and was amazed at the distance the ski jumpers were able to travel. By looking at their po
Vilka [71]

Answer:

Leaning forward with the head close to the tips of the skis allows for better aerodynamics

7 0
2 years ago
Need help with this question
goldfiish [28.3K]

Answer:

x = 12

Step-by-step explanation:

Complementary angles add up to have a sum of 90 degrees. We can create an equation and solve for x.

3x + 6x - 18 = 90

~Simplify

9x - 18 = 90

~Add 18 to both sides

9x = 108

~Divide 9 to both sides

x = 12

Best of Luck!

4 0
3 years ago
10x²-17x+3 (factor this polynomial in a 3x3 table form) picture please
Ymorist [56]
(2x-3)(5x-1). I Think that is the answer.
3 0
3 years ago
Read 2 more answers
Other questions:
  • What's 420 seconds to 10 minutes
    7·1 answer
  • Geometry Helps please<br> (Only correct Answers only please) Thanks!
    10·1 answer
  • CAN SOMEBODY HELP ME??? giving brainliest!!! AREA!
    11·2 answers
  • 92,542 to the nearest ten thousand
    8·2 answers
  • A roofs length is 4 feet less than twice its width algebraic expression
    5·1 answer
  • If you go out to eat with 3 friends and your meal was $72.50, there is a 6.75% sales tax and you should tip the waiter 15%. How
    14·1 answer
  • 1 - 5x = -5x + 1<br> Help pls solve for x
    9·2 answers
  • WHICH ONE?! AND PLS EXPLAIN WHYYY fast pls :( <br><br> A, B, C or F
    6·1 answer
  • Washington Middle School sold 405 tickets to the annual musical production for Friday night. If the tickets sold for Friday nigh
    9·2 answers
  • The steps to convert to a decimal are shown below:
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!