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raketka [301]
2 years ago
5

Suppose a baby food company has determined that its total revenue R for its food is given by R = − x ^3 + 102 x ^2 + 1575 x wher

e R is measured in dollars and x is the number of units (in thousands) produced. What production level will yield a maximum revenue?
Mathematics
1 answer:
cricket20 [7]2 years ago
7 0

Answer:

75 thousand

Step-by-step explanation:

R = -x³ + 102x² + 1575x

To maximize R, find dR/dx and set to 0:

dR/dx = -3x² + 204x + 1575

0 = -3x² + 204x + 1575

0 = x² − 68x − 525

0 = (x + 7) (x − 75)

x = -7 or 75

Since x can't be negative, x = 75.

Therefore, the revenue is a maximum when 75 thousand units are produced.

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Please help me with the 3rd question!!! I'll give you 91 points now, please.
saw5 [17]

Answer:

At the end of the day 797 lockers were closed.

Step-by-step explanation:

So first of all you need to find out how many even numbers there are from 1-900 (which is 450) so you know that 450 are open. In the 3 multiplication tables every second number is even so you know that half of the 450 lockers that was opened was closed again: this meant that 225 lockers remained open.

You also know that every number in the 4 multiplication tables is the second number in the 2 multiplication tables so half of them are closed but you also know that the 900th locker was opened so now you have 113.

So to conclude you do 900-113 which gives you 797 (this is because 113 is the amount of lockers that is open)

3 0
3 years ago
A group of students are meeting in the cafeteria. 70 students have already arrived. This is 35% of the group. How many are in th
sesenic [268]
There are 200 students in the group.

To find this, you divide 70 by 0.35 (35%). This will give you 200. To check this, multiply 200 by 0.35 and you will get 70. Thus making 200 the answer.

I hope this helps!
4 0
2 years ago
Read 2 more answers
Plssss help fast and give a small explanation
Marrrta [24]

Answer: the area of the triangle is 23.4 cm²

Step-by-step explanation:

The given triangle is not a right angle triangle. Since two sides and one angle are known, we can either apply the Heron's formula or the Sine formula which is expressed as

Area of triangle = 1/2abSinC

Where a and b are the sides of the triangle and C is the given angle. Therefore,

Area = 1/2 × 8.2 × 6.4 × Sin63

Area = 1/2 × 8.2 × 6.4 × 0.8910

Area = 23.4 cm² to the nearest tenth.

6 0
3 years ago
1/2 divided by 3 = blank/2 x 1/2
cricket20 [7]

Answer: blank=2/3

Step-by-step explanation:

1/2/3+x/2x1/2

solve this then answer

5 0
2 years ago
Which dimensions can create only one unique triangle?
s2008m [1.1K]

Answer:

<h2>The dimensions must all add up to 180°.</h2>

Step-by-step explanation:

For example;

Your triangles' angles are: 56, 77, and 47.

56 + 77 + 47 = 180

*You did not give me any values to solve for, but just since you didn't- I'v provided an example to assist you in doing it yourself.  If you want me to solve your full equation please add the angles or 3 dimensions of the triangle.

<h3><em>I hope this helped!</em></h3>
3 0
3 years ago
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