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ella [17]
3 years ago
11

Your business sells cupcakes in boxes of 10. The demand equation is

Mathematics
2 answers:
vampirchik [111]3 years ago
8 0
In Business, the following functions are important.
Revenue function = (price per unit) . (quantity of units) Symbols:
Cost function = (average cost per unit) . (quantity of units) Symbols:
Profit function = revenue − cost
Symbols:
Sometimes in a problem some of these functions are given. Note: Do not confuse p and P .
The price per unit p is also called the demand function p .
Marginal Functions:
The derivative of a function is called marginal function.
The derivative of the revenue function R(x) is called marginal revenue with notation: The derivative of the cost function C(x) is called marginal cost with notation:
The derivative of the profit function P(x) is called marginal profit with notation:
Example 1: Given the price in dollar per unit p = −3x2 + 600x , find: (a) the marginal revenue at x = 300 units. Interpret the result.
R=p.x
C=C.x
P=R−C
R′(x) = dR dx
C′(x) = dC dx
P′(x) = dP dx
revenue function: R(x) = p . x = (−3x2 + 600x) . x = −3x3 + 600x2 marginal revenue: R′(x) = dR = −9x2 + 1200x
dx
marginalrevenueat x=300 =⇒ R′(300)= dR =−9(300)2+1200(300)=−450000
dx x=300
Interpretation: If production increases from 300 to 301 units, the revenue decreases by 450 000 dollars.
(b) the marginal revenue at x = 100 units. Interpret the result. revenue function: R(x) = p . x = (−3x2 + 600x) . x = −3x3 + 600x2
marginal revenue: R′(x) = dR = −9x2 + 1200x dx
marginalrevenueat x=100 =⇒ R′(100)= dR =−9(100)2+1200(100)=30000 dx x=100
Interpretation: If production increases from 100 to 101 units, the revenue increases by 30 000 dollars.
melomori [17]3 years ago
5 0
Step by step equation
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serious [3.7K]

Answer:

I believe the answer is

y =  \frac{2}{3} x + 1

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Step-by-step explanation:

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3 years ago
Translate (5, 1) to the right 3 units.
Sergio [31]

Answer:

Step-by-step explanation:

Answer

When you translate either left or right, the x coordinate is the one that you change. To go right when you are dealing with a point, you must add the amount you are asked to go right.  So when you go right 3 units, add 3 to the 5.

(5 + 3,1) = (8,1)

when going across the y axis, you are still only changing the x coordinate.

All you need do is put a minus sign in front of the  x coordinate. So your final answer is (-8,1)

5 0
1 year ago
Pls show work?!!!!!!!
Paraphin [41]

Answer: 55.5 (A.)

Step-by-step explanation:

Since angle A = 29 and angle B = 41, angle C must be equal to 110

180 = m<A + m<B + m<C

180 = 29 +41 + m<C

180 = 70 + m<C

110 = m<C

Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.

Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.

Law of Sines: sinA/a = sinB/b = sinC/c

sinA/a = sinB/b

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7 0
2 years ago
corine in making potato salad for each bowl of potato salad she needs 1/4 cup of potatoes how many cups of potatoes will she use
NARA [144]

Answer:

8 cups of potatoes are needed

Step-by-step explanation:

One way of doing this work is to write out

1/4 cup                                             1 cup

------------- , which is equivalent to  ------------ (a unit rate)

 1 bowl                                              4 bowl

and then multiply this unit rate by 32 bowls:

(1/4)(32 bowls) = 8 cups of potatoes are needed

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2 years ago
In order to set premiums at profitable levels, insurance companies must estimate how much they will have to pay in claims on car
Inessa [10]

Answer:

$595

e) If the company insures a large number of these cars, they can expect the average cost per car to be approximately E(C).

Step-by-step explanation:

Given the distribution :

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P(C) 0.60 0.05 0.13 0.22

Expected probability : E(C)

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Since the expected value could be interpreted as the average value of a random variable over a large Number of experiment or trials

7 0
2 years ago
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