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raketka [301]
3 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]3 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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A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3
Naya [18.7K]

Answer:

The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13

Step-by-step explanation:

Let x be the cost of 1 adult ticket

Let y be the cost of 1 child ticket

Cost of 8 adult tickets = 8x

Cost of 9 child tickets = 9y

We are given that A local kids play sold 8 adult tickets and 9 child tickets for a total of $205

So, 8x+9y=205 ----- 1

Cost of 4 adult tickets = 4x

Cost of 3 child tickets = 3y

We are given that 4 adult tickets and 3 child tickets for a total of $83.

4x+3y=83 ----2

Plot 1 and 2 on graph

8x+9y=205  -- Red line

4x+3y=83  -- Blue line

Intersection point provides the solution

So, Intersection point =(11,13)

So, The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13

4 0
3 years ago
Wayne's class is building a wagon to be used as a float for the upcoming Pioneers Day Parade. The outsides of the four wagon whe
dalvyx [7]

Answer:

30

120

706.5

Step-by-step explanation:

circumference= 94.2 inches, circumference is pi x diameter so-

diameter = 94.2/pi inches.

Using 3.14 as an approximation for pi we get:

Diameter=30 inches.

So would need a length of at least

4x30 = 120 inches of felt for four wheels.

The area of the circular wheel is pi x diameter 2/4 square inches.

Area is 706.5 square inches which is how much felt is needed to cover one wheel.

3 0
3 years ago
Which equation shows that the Pythagorean identity is true for theta = 2pi? Select
Andreyy89

Answer:

I just took the quiz

Step-by-step explanation:

0^2 + 1^2 = 1

Also known as C.

7 0
3 years ago
Find the mean for the following data set: 5, 3, 6, 8, 1, 1 *
Zarrin [17]

Answer:

add all the numbers

which will get you 24

then divide by how many numbers you got which will give you 6

the answer is six

Step-by-step explanation:

Hope this helps :D

8 0
3 years ago
Read 2 more answers
The expression's 30^2-150x-60 and (5x-20)(6x+3) define the same function, f.
Lena [83]

Answer:

30x^{2} -105x+60

Step-by-step explanation:

I just solved it.

(5x-20)(6x+3)

5x•6x=30x^2

5x•3=15x

-20•6x=-120x

-20•3=-60

Pls give Brainliest.

5 0
2 years ago
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