He Bradley family owns 410 acres of farmland in North Carolina on which they grow corn and tobacco. Each acre of corn cos ts

6 answers
Question:

He Bradley family owns 410 acres of farmland in North Carolina on which they grow corn and tobacco. Each acre of corn cos ts $105 to plant, cultivate, and harvest; each acre of tobacco costs $210. The Bradleys’ have a budget of $52,500 for next year. The government limits the number of acres of tobacco that can be planted to 100 . The profit from each acre of corn is $300; the profit from each acre of tobacco is $520. The Bradleys’ want to know how many acres of each crop to plant in order to maximize their profit.
a. Formulate the linear programming model for the problem and solve.
b. How many acres of farmland will not be cultivate d at the optimal solution? Do the Bradleys use the entire 100 - acre tobacco allotment?
c. The Bradleys’ have an opportunity to lease some extra land from a neighbor. The neighbor is offering the land to them for $110 per acre. Should the Bradleys’ lease the la nd at that price? What is the maximum price the Bradleys’ should pay their neighbor for the land, and how much land should they lease at that price?
d. The Bradleys’ are considering taking out a loan to increase their budget. For each dollar they borrow, how much additional profit would they make? If they borrowed an additional $1,000, would the number of acres of corn and tobacco they plant change

Answers

Explanation: See attachment below


[tex]He Bradley family owns 410 acres of farmland in North Carolina on which they grow corn and tobacco.[/tex]
[tex]He Bradley family owns 410 acres of farmland in North Carolina on which they grow corn and tobacco.[/tex]

c- A 100-acre field, all of which is planted with the same variety of corn.

Explanation:

Monoculture in agriculture practice can be defined as the practice of producing or growing a single kind of crop, livestock species, plant or breed in a field of farming. Annually planting the same kind of crop over the same agriculture field is likely to deplete the nutrients from the earth on which the plant relies upon. The soil becomes weak and unable to support the growth of crops.

C. is the correct option this is because the entire agriculture field is utilized to grow the same kind of crop that is the same variety of all corn plants.

Step-by-step explanation:

First let's identify decision variables:

X1 - acres of corn

X2 - acres of tobacco

Bradley needs to maximize the profit, MAX = 300X1 + 520X2

The Bradley family owns 410 acres, X1+X2≤410

Each acre of corn costs $105,  each acre of tobacco costs $210

The Bradleys have a budget of $52,500

So 105X1 +210X2≤52,500

There is a restriction on planting the tobacco - 100acres

X2≤100

Also, since outcomes can be only positive, X1X2 ≥0

So, what we have:

MAX = 300X1 + 520X2

X1+X2≤410

105X1 +210X2≤52,500

X2≤100

X1X2 ≥0

the answer is 4.56

Step-by-step explanation:

because it is i use my mommy calculator

the hourly fee is 3 dollars

43+7h=64

Let C be the total charge and t be the rental time in hours.
C = ht + 43
Plugging the given values into the equation, we get:
64 = 7h + 43
7h = 21
h = 3
The hourly fee is $3.00 per hour.

Similar Solved Works

3 answers

What is total number of elements in 3 trials of rolling a 6-sided die?

What is total number of elements in 3 trials of rolling a 6-sided die?...
10 answers

Exercise your heart work more efficiently.(apex) a. aerobic< —— b. flexibility c. strength d.

Exercise your heart work more efficiently.(apex) a. aerobic< —— b. flexibility c. strength d. anaerobic...
3 answers

List the elements of a constructed response paragraph and what they entail.

List the elements of a constructed response paragraph and what they entail....
4 answers

What was the biggest weakness of the league of nations ?

What was the biggest weakness of the league of nations ?...
3 answers

For each solution below calculate the millimoles of solute. a.1.90 l of 0.00657 m nacn b.871 ml of a solution containing

For each solution below calculate the millimoles of solute. a.1.90 l of 0.00657 m nacn b.871 ml of a solution containing 8.49 ppm caco3...
4 answers

An advantage of mass production is its ability to adapt quickly to changes in demand.

An advantage of mass production is its ability to adapt quickly to changes in demand....
2 answers

Identify when programmers use an Else statement.to use an If statement in its place to make the test

Identify when programmers use an Else statement. to use an If statement in its place to make the test answer true to use an expression instead of a conditional statement to make the answer false to tell the program to take a different action when the If statement answer is false to tell the program...
3 answers

The Early Years of the War Reading HistoryB. SolvingProblems Howdid Washingtontry to solve theproblem of lead-ing a small, inex-perienced

The Early Years of the War Reading History B. Solving Problems How did Washington try to solve the problem of lead- ing a small, inex- perienced force against a large professional army? [please help!!!]...
8 answers

As a Conservative Republican President Nixon did what

As a Conservative Republican President Nixon did what...
4 answers

The meaning carrying sentence in a paragraph is? ​

The meaning carrying sentence in a paragraph is? ​...
3 answers

Three less then six times a number is the same as twelve more then four times a number. what is the number?

Three less then six times a number is the same as twelve more then four times a number. what is the number?...
3 answers

In a certain plant rough seeds are dominant (r) and smooth seeds are recessive (r). two plants with

In a certain plant rough seeds are dominant (r) and smooth seeds are recessive (r). two plants with genotype rr are crossed, and their offspring has smooth seeds. what is the genotype of thier offspring?...
4 answers

HELPPP DUEEE SONN PLSSS

HELPPP DUEEE SONN PLSSS [tex]HELPPP DUEEE SOOOONN PLSSS[/tex]...
3 answers

The ratio of men to women working for a company is 4 to 5 . if there are 90 women working

The ratio of men to women working for a company is 4 to 5 . if there are 90 women working for the company, what is the total number of employees?...
6 answers

What force is needed to give a 4.5-kg bowling ball an acceleration of 9 m/s2? 0.5 n 2 n 40.5 n 36.5

What force is needed to give a 4.5-kg bowling ball an acceleration of 9 m/s2? 0.5 n 2 n 40.5 n 36.5 n...
10 answers

Explain how bc im confused.. mathematics!

Explain how bc im confused.. mathematics! [tex]Explain how bc im confused.. mathematics![/tex]...
2 answers

Water, whose chemical formula is h2O, can be chemically broken down into hydrogen and oxygen. What does

Water, whose chemical formula is h2O, can be chemically broken down into hydrogen and oxygen. What does this make water [tex]Water, whose chemical formula is h2O, can be chemically broken down into hydrogen and oxygen. What d[/tex]...
4 answers

The BEST explanation of why there will always be scarcity is because

The BEST explanation of why there will always be scarcity is because...
3 answers

What theory offers a description of submicroscopic properties of matter and connects them to observable macroscopic properties?

What theory offers a description of submicroscopic properties of matter and connects them to observable macroscopic properties?...
4 answers

Roger wanted to stock up on drinks for an upcoming party. First, he spent $29 on 12 cases of juice and 5 cases of soda, which is all the

Roger wanted to stock up on drinks for an upcoming party. First, he spent $29 on 12 cases of juice and 5 cases of soda, which is all the store had in stock. A few days later, he returned to the store and purchased an additional 13 cases of juice and 9 cases of soda, spending a total of $35. What is ...

-- 0.051828--