The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what size order is the cost per unit a minimum?

A) An order of 1 unit has a minimum cost per unit.

B) An order of 8 units has a minimum cost per unit.

C) An order of 80 units has a minimum cost per unit.

D) An order of 320 units has a minimum cost per unit.

Answers

Answer 1

Answer:

The minimum cost per unit is obtained for an order of 8 units.

Step-by-step explanation:

Since the total cost is modeled by;

C(x)=5x²+320

Then;

1 unit costs; C(x)=5(1)²+320 = 325

cost per unit 325/1 = 325

8 units costs; C(x)=5(8)²+320 = 640

cost per unit = 640/8 = 80

80 units costs; C(x)=5(80)²+320 = 32320

Cost per unit = 32320/80 = 404

The minimum cost per unit is obtained for an order of 8 units.


Related Questions

The Kelly Students Council sold holiday swags for $10 for a fundraiser.. They spent $90 on materials to make the swags.. If they want to make at least $400,, how many swags do they need to sell? Write and solve the inequality.

Answers

Answer:

the answer would be 49

Step-by-step explanation:

they need to sell 49 to get their money back and make the 400 dollar goal

What is the perimeter of the triangle

Answers

Answer:

perimeter=sum of all side=2x-5+(-7x+8)+3x=2x-5-7x+8+3x=3-2x

A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55

Answers

Answer:

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 40

Given that standard deviation of the Population = 15

Let 'x' be the random variable in normal distribution

Let 'X' = 25

[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]

Let 'X' = 55

[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]

Step(ii):-

The probability that between 25 and 55

P( 25 ≤ X≤ 55) = P( -1≤z≤1)

                       = A(1) - A(-1)

                      = A(1) + A(1)

                     = 2 × A(1)

                    = 2× 0.3413

                   = 0.6826

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Final answer:-

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

5, 80, 1280, 20480, 327680, ...

Answers

Answer:

It's multiplying by 16 every time... so the next answer is 5242880

Step-by-step explanation:

327680 x 16 = 5242880

5242880 thats the answer

write 134 in decimals​

Answers

Answer:

1.34

Step-by-step explanation:

If y=-4+11 and 3x+y=9 what is the value of y?

Answers

Answer:

y = 7

x = 2/3

Step-by-step explanation:

hope it help

plz follow me

Answer:

2/3

Step-by-step explanation:

We know the value of y, so substitute y into the equation:

3x + (-4 + 11) = 9 --> remove parentheses

3x - 4 + 11 = 9

3x + 7 = 9 --> subtract 7 from 9

3x = 2 --> divide

x = 2/3

What percent of 75 is 21?

Answers

28 percent. Put the answer so the person above me can get brainliest

Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de boletos de estudiante vendidos fue dos veces el número de boletos de adulto vendidos . ¿Cuántos boletos de adulto

Answers

Answer: x boletos de adulto

2x boletos de estudiante

x+2x=288

3x=288

x=288/3

x=96

adulto =96

estudiante 2*96=192

96+192=288

Step-by-step explanation: 96 y 192

A magazine publisher is informed that 72% of subscribers last year did not renew their subscriptions. This publisher wants to randomly survey 8% of these past subscribers asking the reason why they did not renew their subscriptions. All of last year's subscribers who did not renew their subscriptions are known collectively as what

Answers

Answer:

Sampling frame

Explanation:

A sampling frame is the source where the researcher draws his samples from. In other words, a sampling frame is like the population where the researcher gets samples for his investigation. In the above example, we are told the researcher wants to know why the 72% that subscribed last year didn't subscribe this year. He draws a sample of 8% from the 72% that he is trying to study, therefore the 72% are the sampling frame from where he gets his sample.

4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:

Answers

5 if you don’t know just go to khan academy they help you with every thin

Prove which of the following side lengths represents a right triangle?
A 3, 5, 8
B 9, 12, 15
C 3, 4, √14
D 1, 2, 3
Help plz

Answers

The answer is b
A^2+b^2=c^2
9^2+12^2=15^2
81+144=225

What is the area of Rectangle PQRS in the xy-coordinate plane below?

Answers

Answer:

Area of Rectangle PQRS = 12

Step-by-step explanation:

P.S - The exact question is -

Given -

P = (2, 2)

Q = (6, 2)

R = (6, 5)

S = (2, 5)

The graph is as follows :

As we know that Area of Rectangle = Length × Breadth

Here Length of Rectangle = PQ

         Breadth of Rectangle = PS

⇒ Area of Rectangle PQRS = PQ×PS = 4×3 = 12

Find the circumference of the given circle. Use 3.14 as an approximation of T.
(7in.)
A. 31.4in
B. 43.96in
C. 27in
D. 25in​

Answers

Answer21.98

Step-by-step explanation:

4^3/2-2^3*6+8(-1)^10

Answers

Answer:

-24

Step-by-step explanation:

15.3+1h=1.3−1h solve for h plese solve the whole thing not just the answer

Answers

Answer:

0.1 (153+10h)

Step-by-step explanation:

factor out 0.1 of 15.3 +10h

Answer:

15.3+1h=1.3−1h

15.3-1.3=-1h-1h

14=-2h

h=14/-2=-7

Solve the inequality

Answers

Answer: Hi there, the answer should be the third option v < -8.

Answer: I believe the answer is
C. V < - 8, or v > 0

Hope this helps! ^^

Exercise 1.6.3: Translating mathematical statements in English into logical expressions. info About Consider the following statements in English. Write a logical expression with the same meaning. The domain is the set of all real numbers. (a) There is a number whose cube is equal to 2. (b) The square of every number is at least 0. (c) There is a number that is equal to its square. (d) Every number is less than or equal to its square..

Answers

Answer:

a)  Эx ∈ R   ⊇  x³ = 2

b) ∀x ∈ R, x² ≥ 0

c)  Эx ∈ R   ⊇  x³ = x

d) ∀x ∈ R, x ≤ x²

Step-by-step explanation:

Given the data in the question;

let us first go through some symbols and their possible meanings;

Э  ⇒ there exists

∀ ⇒ for all

∈ ⇒ belongs to or set membership or element of the set

⊇ ⇒ such that

now;

a) There is a number whose cube is equal to 2

let x represent the number; so

Эx ∈ R   ⊇  x³ = 2

b) The square of every number is at least 0

x² ≥ 0, ∀x ∈ R

∀x ∈ R, x² ≥ 0

c) There is a number that is equal to its square

Эx ∈ R   ⊇  x³ = x

d) Every number is less than or equal to its square.

x ≤ x², ∀x ∈ R

∀x ∈ R, x ≤ x²

38 is what percent of 84 (to the nearest percent)?

Answers

Answer:

45.24

Step-by-step explanation:

Percentage Calculator: 38 is what percent of 84? = 45.24.

Answer:

45%

Step-by-step explanation:

84÷100=0.84

38÷0.84=45.24 rounded that is 45%

I need help on this iready question

Answers

Answer:

the sun and the dream

Step-by-step explanation:

because in dreams you can see the sun

The sun and the toddler bc they both want to get up

All you need is on the photo

Answers

Answer:

a = 2

b = 3

c = -20

Step-by-step explanation:

In an aquarium, there are 15 clownfish and 30 starfish. What is the ratio of starfish to clownfish?

Answers

Answer:

1:2

Step-by-step explanation:

1 clownfish for every 2 starfish.

order these number (smallest to largest)


35.6 0.356 35.63 3.65 356.06 356.6

Answers

Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6

Step-by-step explanation:

Simplify 42/56 i am gonna need to show work so i dont fail

Answers

Answer:

42/56 = 3/4

Step-by-step explanation:

Answer:

The simplified fraction is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Simplifying Fractions

A given fraction [tex]\frac{a}{b}[/tex] can be simplified if a and b have common factors, i.e. if they can be evenly divided by at least one equal number.

The fraction is:

[tex]\frac{42}{56}[/tex]

We'll simplify it by 2 since both numbers are even:

[tex]\frac{42}{56}=\frac{21}{28}[/tex]

The next prime common factor is 7. Dividing by 7:

[tex]\frac{42}{56}=\frac{21}{28}=\frac{3}{4}[/tex]

Thus, the simplified fraction is [tex]\frac{3}{4}[/tex]

what are the zeroz of f ? HELPP‼️‼️‼️‼️

Answers

Answer:

HEYY OK SO THE ANSWER IS D

Step-by-step explanation:

1/3 AND 3/2

11. Which of the following points is on the
line 3x - 5y=1
A. (1, 2)
B. (2, 1)
C. (3/5, 1)
D. (2,3)

Answers

a

Step-by-step explanation:

because it's is very important

The answer is B. If you plug in 2 for x and 1 for y you’ll get 1.

3(2)-5(1)=1
6-5=1
1=1 (true statement)

(-4 + 3i)(-12 + 6i)
Simplify expression

Answers

Answer:

=30−60i

Step-by-step explanation:

30-60i is the answer I put it through Photomath it’s right

Figure A is dilated by a scale factor of 1 to form Figure B.
What is the length of x?
4 inches
Figure A
Figure B
2 inches
16 inches
16 inches
8 inches

Answers

Answer:

C. 8 inches

Step-by-step explanation:

Note. The original question is attached.

Solution:

Scale factor is 1/2 and the corresponding side has a length of 16 inches.

The value of x is:

x = 1/2*16 = 8 inches

Correct option is C

A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 60.
OB. The number of multiple-choice questions times the number of
short-answer questions is 15.
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 60

Answers

Answer:

C. The number of multiple-choice questions plus the number of

short-answer questions is 15.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of multiple-choice questions

y is the number of short-answer questions.

Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.

This means that:

[tex]2x + 5y = 60[/tex]

The test has 15 questions.

This means that:

[tex]x + y = 15[/tex].

Which means that option C is the correct answer.

Answer:

C. The number of multiple-choice questions plus the number of short-answer questions is 15.

Step-by-step explanation:

x + y = 15

What is the sum of
1
8
+
5
16
+
3
8
?

Answers

Answer:

41

Step-by-step explanation:

Answer:

18+516+38=18+554=572

Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of preferring the new analgesic to within 0.08, with confidence 0.95. If the true probability is 0.75, how large a sample is needed to achieve this accuracy

Answers

Answer:

The large  sample n = 117.07

Step-by-step explanation:

Step(i):-

Given that the estimate error (M.E) = 0.08

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

Step(ii):-

The Marginal error is determined by

M.E = [tex]\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]

[tex]0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }[/tex]

Cross multiplication , we get

[tex]\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }[/tex]

√n = [tex]\frac{2 X0.4330}{0.08} = 10.825[/tex]

squaring on both sides , we get

n = 117.07

Final answer:-

The large  sample n = 117.07

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