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BaLLatris [955]
3 years ago
9

The average cost when producing x items is found by dividing the cost function, C(x), by the number of items, x. When is the ave

rage cost less than 100, given the cost function is C(x)=10x+180
Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0
Dividing the cost function
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PLEASE ANSWER QUICKLY! WILL GIVE BRANLIEST
uysha [10]

Answer:

Step-by-step explanation:

Let x represent the seating capacity

Number of seats = 40+x

Profit per seat = 10 - 0.20x

For maximum number of seats

P(x) = ( 40+x ) ( 10-0.20x )

P(x) = 400+10x-8x-0.2x^2

P(x) = 400+2x- 0.2x^2

Differentiating with respect to ( x )

= 2 - 0.4x

0.4x = 2

x = 2/0.4

x = 5

The seating capacity will be 40+5 = 45

For the maximum profits

40X10+ 9.9 + 9.8 + 9.7 + 9.6 + 9.5 + 9.4 + 9.3 + 9.2 + 9.1 + ... 1.0, 0.9, 0.8, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1

= 400 + an arithmetic series (first term = 0.1, common difference = 0.1, number of terms = 8+ 40 = 48 )

= 400 + (48/2)(2X0.1 + (48-1)X0.1)

= 400 + 24(0.2 + 4.7)

= 400 + 24(4.9)

= 400 + 117.6

= 517.6

= 517.6dollars

3 0
3 years ago
Y is directly related to X, and Yis 81 when X is 27.<br> The constant of variation is
Arisa [49]

Answer:

3

Step-by-step explanation:

A direct variation is of the form

y = kx

We know x and y so we can find k

81 = k *27

Divide each side by 27

81/27 = 27k/27

3=k

The constant of variation is 3

5 0
3 years ago
K/13 = 0.6/0.5 what does that equal
photoshop1234 [79]
\frac{k}{13} = \frac{0.6}{0.5} equals k = 15.6

First,
simplify \frac{0.6}{0.5} to 1.2. Your problem should look like: \frac{k}{13} = 1.2
Second, multiply both sides by 13. Your problem should look like: k = 15.6, which is the answer.
5 0
3 years ago
A differential equation, a point, and a slope field are given. A slope field(or direction field) consists of line segments with
mihalych1998 [28]

Answer:

Step-by-step explanation:

We're gonna need a graph to do this one.

4 0
3 years ago
Please answer ASAP!
7nadin3 [17]

Answer:

h = 4.5 inches

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h

We know A b1 and b2

20.25 = 1/2 (5+4)*h

20.25 = 9/2 h

Multiply each side by 2/9 to isolate h

2/9 * 20.25 = 2/9 *9/2 h

4.5 =h

6 0
3 years ago
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