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
Alisiya [41]
2 years ago
9

a farmer has 10 acres to plant in wheat and rye. He has to plant at least 7 acres. However, he has only $1200 to spend and each

acre of wheat cost $200 to plant and each acre of rye costs $100 to plant. Moreover, the farmer has to get the planting done in 12 hours and it takes an hour to plant an acre of wheat and 2 hours to plant an acre of rye if the profit is $500 per acre of wheat and $300 per acre of ry how many acres how many acres of each should be planted to maximize the profit
Mathematics
1 answer:
Jobisdone [24]2 years ago
8 0

Answer:

4 acres of wheat and 4 acres of rye.

Step-by-step explanation:

Given: Farmer has only 7 acre, he has plant at least 7 acres.

          Farmer has only $1200 to spend.

          Each acre of wheat will cost $200 and rye will cost $100.

          Planting time is only 12 hours

          Wheat planting take 1 hour per hour and rye take 2 hours per acre.

          Profit on wheat is $500 per acre and rye $300 per acre.

As to find out maximum profit, we need to plant maximum wheat.

While dividing number of acres of land for wheat and rye for plantation, we need to keep two constraint in the mind; Constraint of cost and time as given.

Lets assume few number considering these constraint to get maximum profit.

First assumption, 5 acres of wheat and 2 acres of rye

Time taken= 5\times 1= 5 h\\2\times 2= 2 h

Total time taken 7 hours

Amount spent= 5\times 200= \$ 1000\\2\times 100= \$ 200

Total cost is $ 1200.

Profit= 5\times 500= \$ 2500\\2\times 300= \$ 600

Maximum profit= $3100.

Second assumption, 4 acres of wheat and 4 acres of rye.

Times taken= 4\times 1= 4 h\\4\times 2= 8 h

Total time taken is 12 hours

Amount spent= 4\times 200= \$ 800\\4\times 100= \$ 400

Total cost is $1200.

Profit= 4\times 500= \$ 2000\\4\times 300= \$ 1200

Maximum profit= $3200.

∴ By using hit and trail method, we can see that we are getting maximum profit when farmer is planting 4 acres of wheat and 4 acres of rye.                

You might be interested in
How do you find the x value of an angle​
I am Lyosha [343]

Answer:

Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X.

Step-by-step explanation:

I hope this helps you.

3 0
2 years ago
30 POINTS!
Alona [7]

Answer:

Area = 3,656.6 m²

Step-by-step explanation:

Area enclosed by the track is composed of two semicircles and a rectangle.

Area = area of two semicircles + area of rectangle

= 2(½*πr²) + L*W

Where,

radius of semicircle (r) = ½of 40 m = 20 m

Length of rectangle (L) = 60 m

Width of rectangle (W) = 40 m

Plug in the values

Area = 2(½*π*20²) + 60*40

Area = 400π + 2,400

Area = 3,656.6 m² (aooroximated to nearest tenth)

8 0
2 years ago
Read 2 more answers
James has $32 and earns $10 per week for his allowance. What is the initial value for the scenario described? A.10 B.32 C.42 D.3
vova2212 [387]
I think it'll be 32$ cuz thats what he started with.
4 0
3 years ago
Read 2 more answers
6. Given that ABCD is a quadrilateral with A(-2,-2), B(1, 1),
irina1246 [14]

Answer:

it is a parallelogram

Step-by-step explanation:

so first plot out points and then you find the slope for each of the corresponding lines.

First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.

Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.

Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.

finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.

in conclusion there are two sets of parallel lines so you have a parallelogram

7 0
2 years ago
A planter is shaped like a regular hexagon. The side lengths are 2 meters and the apothem is √3 meters. What is the area of the
Alexxx [7]

Answer:

20.78in^2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the greatest common factor of 9x^2<br> 2<br> and 6x?
    6·1 answer
  • The cost of renting a bicycle is $9 for the first hour plus another $4 for each additional hour. Which of the following represen
    10·2 answers
  • Explain how to write an equation when given a
    15·2 answers
  • ms. eskew's class had a class average of 77 % on their math test. how would this be written as a ratio? a. 23:100 b. 77:100 c. 5
    9·1 answer
  • PLEASE HELP<br> 1/4 is to 1 1/4 as 2 is to b
    8·1 answer
  • Can someone help me please?? in Algblra2 - Variations, Progression, and Theorems
    9·1 answer
  • Determine the intercepts of the function f(x)=2x^2+18x+28
    5·1 answer
  • Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x^2 + 4x = - 5 has.
    11·1 answer
  • Asap help 100 points
    5·2 answers
  • 10
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!