Auggie's vineyard consists of 240 acres upon which he wishes to plant Merlot grapes and Cabernet grapes. Profit per acre of Merlot is $400, and profit per acre of Cabernet is $300. The number of hours of labor available is 3200. Each acre of Merlot requires 20 hr of labor, and each acre of Cabernet requires 10 hr of labor. Determine how the land should be divided between Merlot and Cabernet in order to maximize profit.

Answers

Answer 1
Can anybody help. :) Auggie's vineyard consists of 240 acres upon which he wishes to plant Merlot grapes and Cabernet grapes. Profit per acre of Merlot is $400, and profit per acre of Cabernet is $300. The number of hours of labor available is 3200. Each acre of Merlot requires 20 hr of labor, and each acre of Cabernet requires 10 hr of labor. Determine how the land should be divided between Merlot and Cabernet in order to maximize profit.

Related Questions

The largest prime number that is a factor of 35 is multiplied by the smallest prime number

Answers

Answer:

the largest factor of 35 is 35 and the smallest prime number is 2 so 35 times two is 70

Step-by-step explanation:

Write an inequality. Marianda is packing eggs in cartons. Each carton holds 12 eggs. She has already filled 3 cartons. How many more eggs does she need to fill at least 17 cartons?

Answers

14 x 12= 168. (she already filled 3 cartons. so, 17-3 =14.) she needs 168 eggs to fill the other 14 cartons.

which of the following is a characteristic of the circumcenter of a triangle? multi-choice. A. it is the center of the only circle that can be inscribed in the triangle. , B. it is the center of the circle that can be inscribed in given a given triangle. C. it is the center of the only circle that can be circumscribed about the triangle. D. it is equidistant from all three sides of the triangle.

Answers

Answer:

C

Step-by-step explanation:

The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.

I hope this helps!

Further explanation:

For a circle to circumscribe something, it circles it so that each of the vertices are on the circle, so each of the vertices are equidistant from the circumcenter. The circumcenter of a triangle is formed by the perpendicular bisectors of its sides.

Side note:

The rest of the choices describe an incenter.

(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!


Answers

Answer:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Step-by-step explanation:

1)

Given the expression

[tex]10!\times \:20![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]

[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

Now, multiplying the result

[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

so

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

Thus, we conclude that:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

2)

Given the expression

[tex]17!\:\times \:9![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]

[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

Now, multiplying the result

[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

so

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Thus, we conclude that:

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

If Zuri continues to travel at 0.2 miles per minute. how far will she travel in one hour?

Answers

Answer:

1.2 miles yr welcome

12 miles — (60 x 0.2)

x - 2y =0
3x + y = 0
solve using the substitution method
to solve the linear system

Answers

Answer:

x=0, y=0

Step-by-step explanation:

① Label the 2 given equations.

x -2y= 0 -----(1)

3x +y= 0 -----(2)

② Make x the subject of formula in equation (1).

From (1): x= 2y -----(3)

③ Substitute equation (3) into (2):

3(2y) +y= 0

Expand:

6y +y= 0

Simplify:

7y= 0

y= 0

④ Find x.

Subst. y=0 into (3):

x= 2(0)

x= 0

plz help! will give brainliest! really easy!

Answers

Answer:

C

Step-by-step explanation:

I explained it in the comments of the other one

n order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? --> It must be

Answers

Complete Question

In order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? -->

It must be that the resulting P-value must be

A) Greater than 0.2

B) Between 0.19 and 0.10

C) Between 0.09 and .05

D) Between .049 and .02

E) Less than 0.02

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

   The mean of sample 1 is  [tex]\= x_1 = 10[/tex]

   The standard deviation is  [tex]s_1 = 6[/tex]

   The mean of sample two is  [tex]\= x_2 = 16[/tex]

   The standard deviation is  [tex]s_2= 4[/tex]

   The sample size for both samples is  [tex]n_1 = n_2 = n = 6[/tex]

  The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

  The alternative hypothesis is  [tex]H_a : \mu_1 \ne \mu_2[/tex]

Generally the test statistics is mathematically represented as

          [tex]z = \frac{ \= x_1 - \= x_2 }{ \sqrt{ \frac{s^2_1}{n_1} +\frac{s^2_1}{n_2} } }[/tex]

=>       [tex]z = \frac{ 10 - 16 }{ \sqrt{ \frac{6^2}{6} +\frac{4^2}{6} } }[/tex]

=>       [tex]z = -1.3646[/tex]

From the z table  the area under the normal curve to the left corresponding to  -1.3646   is

    [tex]P(Z < -1.3646) = 0.086189[/tex]

Generally the p-value is mathematically represented as

     [tex]p-value = 2 P(Z < -1.3646)[/tex]

=>  [tex]p-value = 0.086189 * 2[/tex]

=>  [tex]p-value = 0.1724[/tex]

So the p-value is  Between 0.19 and 0.10

   

Consider this function.
(r) = -3r + 3
Which graph represents the inverse of function ?

Answers

9514 1404 393

Answer:

  C.  graph Y

Step-by-step explanation:

Starting with f(r) = -3r +3, the inverse function can be found from ...

  r = f(y)

  r = -3y +3

  r -3 = -3y

  (r -3)/-3 = y

  y = -1/3r +1

The inverse function will have a slightly negative slope and a y-intercept of 1. This matches graph Y.

0.5= x djdododododododdodod

Answers

Answer:

25

Step-by-step explanation:

cuz

can somebody do this please

Answers

Answer:

12y - x - 28 = 0

Step-by-step explanation:

............

12y what the guy above my said is right

Explain how to graph 8 is greater than it equal to y

Answers

Answer:

t w e n t y c h a r e c t e r s l o n g

Given
f
(
x
)
=

x

3
f(x)=−x−3, solve for
x
x when
f
(
x
)
=

2
f(x)=−2.

Answers

Answer:

-5

Step-by-step explanation:

Substitute every part of the equation where x appears with the value of x, which is -2

f(-2)=-2-3

f(-2)=-5

So, f(x)=-5

The answer is -5 I hope this helps

Solve for x = X-16/x+6= 3/5

Answers

Answer:

-16/29

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test

NEED ANSWER ASAP! CORRECT ANSWER GETS BRAINLIEST!

An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long it will take for the tank to fill completely?

1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hour
3 ⋅ 12 hours

Answers

Answer:

4 hours

Step-by-step explanation:

1/12 time what equals 1? 12 so do it to the other equation and simplify 12/3 to get 4.

Count by 5’s starting with 99

Answers

104, 109, 114, 119, 124, 129, 134, 139, 144, 149

hehe

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Why are these triangles similar?​

Answers

Answer:

sas

Step-by-step explanation:

Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened in the bank

Answers

Answer:

Step-by-step explanation:

False,true,true

MY HRW ‼️ Solve the equation. You may find using algebra tiles helpful in solving this problem.
X +6=-X-6

Answers

Answer:

x=-6

Step-by-step explanation:

x+6=-x-6

(-6)+6=(6)-6

0=0

Answer:

Solve the equation. You may find using algebra tiles helpful in solving this problem.  X +6=-X-6               X= -6

pitcher can hold 1,200 milliliters of tea. How many liters of tea are in the pitcher?​

Answers

Answer:

1.2 Liters

Step-by-step explanation:

There are 1000 mL in 1 L. divide 1200 by 1000 and you get 1.2

please help
An auditorium sold 500 tickets for a play and raised $3400. Let x represent the number of adult tickets sold at $8 each and let y represent the number of student tickets sold at $5 each. Write and solve a system of equations to determine the number of adult tickets and the number of student tickets that were sold.

Answers

Answer:

answer is attached in the figure below hope it helps please mark it as brainlist

For a Biology assignment, Lisa collected data on plant growth of a sunflower every week for 9 weeks. When Lisa first planted the sunflower, it was 10 centimeters tall. The time (in weeks) is plotted against the height (in centimeters) as shown below. Using the best-fit line, approximately how tall was the sunflower plant during the fifth week? 33 centimeters 34 centimeters 35 centimeters 30 centimeters

Answers

Answer:

I think it was 34 cm because it should be not too long

Step-by-step explanation:

this is from my logic perspective

If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?

Answers

Answer:

7040 Yards

Step-by-step explanation:

First, you have to divide 5280 by 3, to get 1760 yards

Then you have to multiply 1760 by 4

Finally, you should get the answer of 7040 yards :D

Answer:

The other person who answered it already explained it but the answer is 7,040

Step-by-step explanation:

I need help on both these questions

Answers

a is 38720 i think.

A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?

Answers

Answer:

3 ft.

Step-by-step explanation:

15:20 and x:4 you can cross multiply or if you reduce 15:20, the answer is 3:4

Given the quadratic equation: 1/2x^2+3x−10=0

Answers

Answer:

x=2.3851648071345037,−8.385164807134505

Step-by-step explanation:

Least to greatest 0.4, 5/8, 74%, 3/5

Answers

Answer:

0.4,3/5,5/8,74%

Step-by-step explanation:

Change them all into decimals.

Get 0.4,0.625,0.74,0.6

Then reorder and see what their original values were

Simplify the expression by arranging the steps in sequence, based on the order of operations 1/6 (30x 24)-1/7(63x-7x)​ please help fast!!!!

Answers

Answer:

if you Simplify the expression it is 112x

(or 120-8x if 30x 24 is multiplication)

 

Stephanie needs to cover her yard with 410taft2of soil. She has enough for 125ft2in one bag and 65 ft2in another bag. How much more square feet of soil will she need covered?

Answers

Answer:

Stephanie needs 220ft² of more soil to cover the rest of her yard.

Step-by-step explanation:

First add the bags she already has:125ft²+65ft²+x=410ft² --> 190ft²+x=410ft²

Second use the subtraction property of equality: 190ft²-190ft²+x=410ft²-190ft² ---> x=220ft²

18. Find the missing length indicated.
Find HJ
x+27
X+ 17

Answers

Answer:

The answer ia -30. Hope i help

Answer:

The answer is 30 hope it helps

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