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s344n2d4d5 [400]
3 years ago
9

A farmer has 100 acres of available land that he wishes to plant with a mixture of potatoes, corn, and cabbage. It costs him $40

0 to produce an acre of potatoes, $160 to produce an acre of corn, and $280 to produce an acre of cabbage. He has a maximum of $20,000 to spend. He makes a profit of $120 per acre of potatoes, $40 per acre of corn, and $60 per acre of cabbage. How many acres of each crop should he plant to maximize his profit?
a. Create a chart to organize this information.
b. Write the objective function
c. Write all the constraints to the problem.
Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0
B write the objective function it works best
You might be interested in
Hey, can I please get some help with this? It shouldn’t be too hard, thanks!
Fynjy0 [20]

Answer:

  • (x -3)(x+3)(2x +1)
  • (x -1)(x +1)(x +3)
  • (2x -1)(2x +1)(x -4)

Step-by-step explanation:

A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)

__

B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)

__

C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)

_____

In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).

_____

The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.

7 0
3 years ago
There are a total of 15 bicycles and tricycles.There are 37 wheels all together if we count them up. How many tricycles and how
m_a_m_a [10]

Answer: there are eight bicycles and 7 tricycles.

Step-by-step explanation:

Let x represent the number of bicycles that are there.

Let y represent the number of tricycles that are there.

There are a total of 15 bicycles and tricycles. This means that

x + y = 15

A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that

2x + 3y = 37- - - - - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

2(15 - y) + 3y = 37

30 - 2y + 3y = 37

- 2y + 3y = 37 - 30

y = 7

x = 15 - y = 15 - 7

x = 8

7 0
3 years ago
2) Abby made 5 1/2 cups of banana pudding. She served 7/8 cup of the pudding to her kids for dessert.
frez [133]

Answer:

<u>37/8</u>

Step-by-step explanation:

we are going to create 5 1/2 into an improper fraction for now, so it is easier to manipulate.

5 1/2 = 11/10

in order to find the answer, we need to set them both to a common denominator(we need to make sure they have the same denominator so it is easier to subtract)

11/2 if we just take 1 of the cups that Abby made and subtract that by 7/8 that give us the answer

11/2 - 1 = 9/2

we will now us the cup we subtracted from that and "give it to the kids"

 1 = 8/8

so

8/8 - 7/8 = 1/8

so we have 1/8 leftover from that cup, so we can add that back

since 1/8 is a hard number to just add off the top of your head, we can just change the denominator of 9/2 into 8 instead of 2:

9/2 = 36/8

so

1/8 + 36/8 = 37/8

so since 37/8 cannot be simplified anymore, the answer is

<u>37/8</u>

3 0
2 years ago
Si un gramo de chocolate vale$38.25¿cuánto costarán 750 gramos?
Anna007 [38]

Answer:

28687.5

Step-by-step explanation:

Un gramo equivale a $38,25, por lo que si tenemos 750 de esos gramos, tendríamos que multiplicarlos para obtener el costo total.

3 0
2 years ago
Write the least common multiple of 120 and 80
Olin [163]
The least common multiple would be 240.
120(2)=240 AND
80(3)=240
6 0
3 years ago
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