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

###### Question:

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.