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melamori03 [73]
2 years ago
8

Dante it by 15 pounds of metal for $36 which purchase would have the same cost per pound is Dante purchase

Mathematics
1 answer:
Lostsunrise [7]2 years ago
6 0
36 dollars worth of metal
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Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive
Ivan

Answer:

(a) The average cost function is \bar{C}(x)=95+\frac{230000}{x}

(b) The marginal average cost function is \bar{C}'(x)=-\frac{230000}{x^2}

(c) The average cost approaches to 95 if the production level is very high.

Step-by-step explanation:

(a) Suppose C(x) is a total cost function. Then the average cost function, denoted by \bar{C}(x), is

\frac{C(x)}{x}

We know that the total cost for making x units of their Senior Executive model is given by the function

C(x) = 95x + 230000

The average cost function is

\bar{C}(x)=\frac{C(x)}{x}=\frac{95x + 230000}{x} \\\bar{C}(x)=95+\frac{230000}{x}

(b) The derivative \bar{C}'(x) of the average cost function, called the marginal average cost function, measures the rate of change of the average cost function with respect to the number of units produced.

The marginal average cost function is

\bar{C}'(x)=\frac{d}{dx}\left(95+\frac{230000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g\\\\\frac{d}{dx}\left(95\right)+\frac{d}{dx}\left(\frac{230000}{x}\right)\\\\\bar{C}'(x)=-\frac{230000}{x^2}

(c) The average cost approaches to 95 if the production level is very high.

\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})\\\\\lim _{x\to a}\left[f\left(x\right)\pm g\left(x\right)\right]=\lim _{x\to a}f\left(x\right)\pm \lim _{x\to a}g\left(x\right)\\\\=\lim _{x\to \infty \:}\left(95\right)+\lim _{x\to \infty \:}\left(\frac{230000}{x}\right)\\\\\lim _{x\to a}c=c\\\lim _{x\to \infty \:}\left(95\right)=95\\\\\mathrm{Apply\:Infinity\:Property:}\:\lim _{x\to \infty }\left(\frac{c}{x^a}\right)=0\\\lim_{x \to \infty} (\frac{230000}{x} )=0

\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})= 95

6 0
3 years ago
What is the slope-intercept equation of the line below?
Nataly [62]

Answer:

D

Step-by-step explanation:

We will use the 2 coordinates marked on the graph as the reference.

The coordinates are:

A(4,-2)

B(0,3)

We know that the standard form for equation of line is:

y = mx+c

where m is the slope of the equation

and c is the y-intercept.

Very clearly, the y-intercept is where the line intercepts the y line.

and in this case, y-intercept = c = 3.

Now we know that the equation of line is now

y = mx + 3

To find m, the slope, we can use the 2 above coordinates.

slope of line = \frac{y1-y2}{x1-x2} \\=\frac{-2-3}{4-0} \\=\frac{-5}{4} \\=-\frac{5}{4}

(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)

Equation of line: y=-\frac{5}{4} x+3

Therefore the answer is D.

4 0
2 years ago
Have three witches each holding a broom and a spoon. Witches say witch plus witch plus witch =45. Three brooms say broom plus br
GrogVix [38]

Answer:

a=43

Step-by-step explanation:

w+w+w= 45 which means 15+15+15=45

b+b+b=21 which means 7+7+7=21

s+s+s=12 which means 4+4+4=12

w+b×s= a which means 15+7×4= 43

(hope this helps)

6 0
3 years ago
Read 2 more answers
The octal system uses base 8. the only available digits would be 0, 1, 2, 3, 4, 5, 6, and 7. if the value 2468 is converted to d
marysya [2.9K]
Your description and expansion suggest you want to evaluate
.. 246₈ = 2*8² +4*8¹ +6*8⁰
.. = 2*64 +4*8 +6
.. = 166
5 0
3 years ago
6x+4y=12 into y=my+b
kirza4 [7]
6x + 4y = 12...subtract 6x from both sides
4y = -6x + 12 ...divide both sides by 4
(4/4)y = (-6/4)x + 12/4...reduce
y = -3/2x + 4 <== y = mx + b
7 0
3 years ago
Read 2 more answers
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