Total pay before deductions is known as

Assume that it costs Apple approximately E(x) 25,600 + 100x + 0.012 dollars to manufacture x 32GB iPods in a day. (a) The averag

uranmaximum [27]

Answer:

(a) $C'(x)=\dfrac{x^2-2560000}{x^2}$

(b)x=1600, Minimum Average Cost Per iPod=$132

(c) $C''(x)=\dfrac{5120000}{x^3}$

The result, C''(1600) is positive, which means that the average cost is Concave up at the critical point, and the critical point is a minimum.

Step-by-step explanation:

Given that it costs Apple approximately $ C(x) to manufacture x 32GB iPods in a day, where:

$C(x)=25,600+100x+0.01x^2$

(a)The average cost per iPod when they manufacture x iPods in a day is given by:

$Cost \:Per \:iPod=\dfrac{C(x)}{x} =\dfrac{25,600+100x+0.01x^2}{x}$

The average cost per iPod is therefore:

$C'(x)=\dfrac{x^2-2560000}{x^2}$

(b)To minimize average cost of x iPods per day, we set the average cost per iPod=0 and solve for x.

$C'(x)=\dfrac{x^2-2560000}{x^2}=0\\x^2-2560000=0\\x^2=2560000\\x=\sqrt{2560000}=1600$

The resulting minimum average cost (at x=1600) is given as:

$Cost \:Per \:iPod=\dfrac{C(x)}{x} =\dfrac{25,600+100x+0.01x^2}{x}\\\dfrac{25,600+100(1600)+0.01(1600)^2}{1600}\\=\$132$

<u>Second derivative test</u>

(c)The answer above is a critical point for the average cost function. To show it is a minimum, we calculate the second derivative of the average cost function.

$C''(x)=\dfrac{5120000}{x^3}$

At the critical point, x=1600

$C''(1600)=\dfrac{5120000}{1600^3}=0.00125$

The result, C''(1600) is positive, which means that the average cost is Concave up at the critical point, and the critical point is a minimum.

3 0

3 years ago

Please help me i'll give brainliest

Illusion [34]

Answer:

c

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Below are five questions from a survey of MBA students. Answers were written in the blank at the left of each question. For each

Vedmedyk [2.9K]

Complete question :

Q11. What is the age of the car you usually drive? (years).

Q12.) About how many times in the past year did you attend formal religious services?

Q13.) How often do you read a daily newspaper? (0 = Never, I = Occasionally, 2 – Regularly).

Q14.) Can you conduct simple transactions in a language other than English? (0 = No. 1 = Yes).

Q15. How often do you exercise (aerobics, running, etc)? (0 = Not at All. 1 Sometimes. 2 = Regularly)

Answer:

Continous, ratio

Discrete, Ratio

Categorical, ordinal

Categorical, nominal

Categorical, ordinal

Step-by-step explanation:

Continous variables usually do have an infute number of values inbetween consecutive integers while discrete numeric variables take up whole number values and has a finite number of values. The

Categorical variables are used for Qualitative variables which takes up labels rather than numeric values.

The measurement scales include ;

Ratio scale used for quantitative variables with a true zero value (that is 0, means there is no value for the variable at that point, on a ratio scale with height variable = 0 then there is no height for the measured point). it allows for mathematical calculation of data values as it has a fixed distance between point.

The interval scale is similar ot the ratio aside that it does not have a true zero value, the zero point only serves as a reference point.

The nominal scale, when numbers are used to depict Qualitative variables, such that there is no rank or order in the label. If labels are 0 and 1 for each options, then one label is not superior or inferior to the other

Ordinal variables on the other hand have a particular order or rank for the Qualitative data represented with numerical values :

Here : for a scale of 1 - 5 ; the magnitude increases from 1 through 5

5 0

3 years ago

Help please asap!!!!

Amanda [17]

Since 90 degrees is 1/4 of a circle then 1/4 of 12 is 12/4 = 3m^2

8 0

3 years ago

5x - 2>13<br> SOLVE THIS PLEASE STEP BY STEP ASAP

drek231 [11]

5x-2>3
=> 5x > 3+2
=> x > 5/5
=> x > 1

3 0

3 years ago