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3 years ago

17) The total cost to produce x units of paint is C(x) = (5x + 3)(7x + 4). Find the marginal

Mathematics

1 answer:

Bad White [126]3 years ago

7 0

Answer:

17) MC(x) = 35 − 12/x²

18) R(x) = -0.05x² + 80x

Step-by-step explanation:

17) The marginal average cost function (MC) is the derivative of the average cost function (AC).

AC(x) = C(x) / x

MC(x) = d/dx AC(x)

First, find the average cost function:

AC(x) = C(x) / x

AC(x) = (5x + 3)(7x + 4) / x

AC(x) = (35x² + 41x + 12) / x

AC(x) = 35x + 41 + 12/x

Now find the marginal average cost function:

MC(x) = d/dx AC(x)

MC(x) = 35 − 12/x²

18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:

m = (40 − 50) / (800 − 600)

m = -0.05

Use point-slope form to find the equation of the line:

p(x) − 50 = -0.05 (x − 600)

p(x) − 50 = -0.05x + 30

p(x) = -0.05x + 80

The revenue is the product of price and demand:

R(x) = x p(x)

R(x) = x (-0.05x + 80)

R(x) = -0.05x² + 80x

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Austin has two Marvel posters he wants to hang on the wall in his bedroom. The wall is 16.5 feet wide and each poster is 5 3/4 f

vekshin1

The expression for the distance is w=5/3 ft

Step-by-step explanation:

The wall has a width of 16.5 feet

A single poster has a width of 5 3/4 ft which is equal to 23/4 ft or 5.75 ft

For the two posters, the width occupied is ; 23/4 * 2 = 23/2 = 11.5 ft

Remaining width that will be unoccupied by the posters will be 16.5-11.5=5

A sketch of the wall with the two posters such that the edge of the wall is the same as the distance between the posters will show three un-covered spaces, from edge of wall to the first poster, then between the two posters, and lastly from the second poster to the other edge of the wall.

The un-covered 3 portions have an equal width, lets assume that they have a width of w ft

This means 3w will represent the uncovered width which equals to the unoccupied space of 5 ft

Form equation for the uncovered width as;

3w=5ft

w=5/3 ft ---------the distance from the edge of each poster to the nearest edge of wall.

Learn More

Perimeter of a wall : brainly.com/question/12692838

Keyword :posters, wall, edge, distance

#LearnwithBrainly

6 0

3 years ago

Find the area and the circumference of a circle with radius 3 cm.

pshichka [43]

1. Observe problem

Solve for the area and Circumference of a circle who's radius is 3 cm

Area for circle formula:

pi*r^2=

9pi

I simplicity is needed, 9 pi is around

28.2743338823cm^2

Circumference for circle formula: 2*pi*r

which is

6pi

if simplicity is again needed, its around

18.8495559215cm

6 0

3 years ago

Use always, sometimes or never to make a true statement:

viva [34]

Answer:

1. Intersecting lines are always coplanar

2. Two planes never intersect in exactly one point

3. Three points are always coplanar

4. A plane containing two points of a line always contains the entire line

5. Four points are sometimes coplanar

6. Two lines never meet in more than one point.

7. Two skew lines are never coplanar

8. Line TQ and Line QT are always the same line.

Step-by-step explanation:

Note: Coplanar means "In the same plane"

1. Each line exist in many planes. But different lines must share at least one plane for them to intersect. That is why intersecting lines are always coplanar.

2. Two planes never intersect at exactly one point because only lines intersect at a point. Planes can only intersect along a line.

3.Three points are always coplanar because in geometry, a group of points are coplanar because there is a geometric plane that they all lie on.

4. A plane containing two points of a line always contains the entire line. Yes

5. Four points are only sometimes coplanar because there is a probability that they may all not lie on the same plane

6. Two lines never meet in more than one point because lines are basically straight and cannot bend over to intersect at another point

7. Two skew lines are never coplanar because skews lines are lines that do not intersect and are never parallel.

8. Line TQ and Line QT are always the same line because a line is straight and extends from one point to the other. So, if a line is labelled TQ calling it QT means the same thing

4 0

2 years ago

Four small cakes are shared equally among 5 children what part does each child receive?

erastova [34]

Answer:

0.8 of a cake

Step-by-step explanation:

all you do is divide 4 by 5

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3 years ago

Factor the expression. 3x + 21

Delicious77 [7]

Answer: 3 ( x + 7 )

Step-by-step explanation:

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3 years ago

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