Please help;-; tysm! (23 points)

A farmer plans to grow wheat and corn. Each acre of wheat requires 4 hours of labor and $20 of capital, and each acre of corn re

ElenaW [278]

Answer:

To maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.

Step-by-step explanation:

Given that a farmer plans to grow wheat and corn, and each acre of wheat requires 4 hours of labor and $ 20 of capital, and each acre of corn requires 16 hours of labor and $ 40 of capital, and the farmer has at most 800 hours of labor and $ 2400 of capital available, if the profit from an acre of wheat is $ 80 and from an acre of corn is $ 100, to determine how many acres of each crop should she plant to maximize her profit the following calculation must be performed:

Knowing that each acre of wheat has a 50% lower capital cost, 75% lower hours and a 20% lower profit, in principle this would be the crop to be planted to obtain better yields.

2400/20 = 120

120 x 4 = 480

120 x 80 = 9,600

Thus, to maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.

3 0

3 years ago

Is the number 65.4349224.....rational or irrational? Explain.

ohaa [14]

Answer: Well if the number has no end it must be irrational same as sqrt of 2 or pi

Step-by-step explanation:

7 0

4 years ago

6 * 3 - 4216 equals

Tom [10]

Answer:

-4198

Step-by-step explanation:

Because 6*3 is 18 and this is negative number

3 0

3 years ago

Find a decomposition of a=⟨−5,−1,1⟩ into a vector c parallel to b=⟨−6,0,6⟩ and a vector d perpendicular to b such that c+d=a.

dezoksy [38]

The projection of vector A parallel to vector B is $\langle -3, 0, 3\rangle$ and the projection of vector A perpendicular to vector B is $\langle -2, -1, -2\rangle$ .

In this question, we need to determine all projections of a vector with respect to another vector. In this case, the projection of vector A parallel to vector B is defined by this formula:

$\vec a_{\parallel , \vec b} = \frac{\vec a \,\bullet\,\vec b}{\|\vec b\|^{2}}\cdot \vec b$ (1)

Where $\|\vec b\|$ is the norm of vector B.

And the projection of vector A perpendicular to vector B is:

$\vec a_{\perp, \vec b} = \vec a - \vec a_{\parallel, \vec b}$ (2)

If we know that $a = \langle -5, -1, 1 \rangle$ and $\vec b = \langle -6, 0, 6 \rangle$ , then the projections are now calculated:

$\vec a_{\parallel, \vec b} = \frac{(-5)\cdot (-6)+(-1)\cdot (0)+(1)\cdot (6)}{(-6)^{2}+0^{2}+6^{2}} \cdot \langle -6, 0, 6 \rangle$

$\vec a_{\parallel, \vec b} = \frac{1}{2}\cdot \langle -6, 0, 6 \rangle$

$\vec a_{\parallel, \vec b} = \langle -3, 0, 3\rangle$

$\vec a_{\perp, \vec b} = \langle -5, -1, 1 \rangle - \langle -3, 0, 3 \rangle$

$\vec a_{\perp, \vec b} = \langle -2, -1, -2\rangle$

The projection of vector A parallel to vector B is $\langle -3, 0, 3\rangle$ and the projection of vector A perpendicular to vector B is $\langle -2, -1, -2\rangle$ .

We kindly invite to check this question on projection of vectors: brainly.com/question/24160729

7 0

3 years ago

What is the value of 45 x 104 = _?

Mashcka [7]

Answer:

4,680

Step-by-step explanation:

45 × 104 = 4,680

I hope this helps!

4 0

3 years ago

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