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
In which set are all of the numbers solutions to the inequality x < -3?
Tomtit [17]

Answer:

i dont know have a good day pls stay safe dont get hurt and get a good grade

Step-by-step explanation:

8 0
3 years ago
Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the in
grin007 [14]

Answer:

(B) P(B)=\dfrac{16}{31}

Step-by-step explanation:

From the Venn diagram, n(AUB)=31

The given probabilities in the option are calculated below:

P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}

The only correct option is the probability of B which is \frac{16}{31}

8 0
3 years ago
Answers for these? Having trouble getting the concept so a step by step would be awesome.
jolli1 [7]

Answer: 2222

Step-by-step explanation: 2000+200+20+2 = 2222

6 0
3 years ago
Read 2 more answers
A company is interested on average wages of employee and variance. A sample of 20 workers is taken and it is found that mean wag
vfiekz [6]
Given that the mean is $9.5 and the standard deviation is $1.30, the standard error will be given by:
σ/√n
where
σ-standard deviation
n=sample size

thus, we shal have:
1.30/√20
=0.2906
Next we find the margin error
0.2906*2=0.581
thus the confidence interval will be:
(9.5+0.581, 9.5-0.581)
=(10.081,8.919)
6 0
3 years ago
The cost of a movie ticket is increased by 15%. The old price was five dollars how much are they now?
Grace [21]

Answer:

5.75 is the answer.

$5.00 x 0.15=0.75

$5.00+0.75=$5.75

4 0
3 years ago
Other questions:
  • A car uses 1 9/8 of gasoline to travel 50 3/4. how far can the car travel in miles on 1 gallon of gasoline
    8·1 answer
  • Question #6 I can't figure it out.
    11·1 answer
  • Write an equation of the line parallel to 3x+y=7 that goes from (-3,5) in slope intercept form.
    12·1 answer
  • Solve for w. <br> 1/7 = -3/2w -4/5 Simplify your answer as much as possible.
    8·1 answer
  • Identify the type of observational study described. A statistical analyst obtains data about ankle injuries by examining a hospi
    12·1 answer
  • Consider the function f(x) = (x − 3)2(x + 2)2(x − 1). The zero has a multiplicity of 1. The zero −2 has a multiplicity of .
    14·1 answer
  • A machine produces open boxes using square sheets of metal. The machine cuts​ equal-sized squares measuring 2 inches on a side f
    8·2 answers
  • A recipe for cooking rice indicates that 14 cups of boiling water are needed for 8 cups of rice.
    11·1 answer
  • What is the value of x?<br><br> Enter your answer in the box.
    7·1 answer
  • What is the volume of this sphere?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!