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lana [24]
3 years ago
12

A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain. The shop run by the chain serves 502

customers a day. About how many customers does the local shop serve in a day
Mathematics
1 answer:
aleksklad [387]3 years ago
8 0

Answer:

116

Step-by-step explanation:

502/9*2

About 57.8*2

115.6

Round up to 116

The local shop serves about 116 customers a day.

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The management of Ditton Industries has determined that the daily marginal revenue function associated with selling x units of t
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Answer:

(a) The daily total revenue realized from the sale of 210 units of the toaster oven is $6,195.

(b) The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is $1,400.

Step-by-step explanation:

The marginal revenue gives the actual revenue realized from the sale of an additional unit of the commodity given that sales are already at a certain level.  The derivative <em>R'</em> of the function <em>R</em> measures the rate of change of the revenue function.

We know that the daily marginal revenue function is given by

R'(x) = -0.1x+40

(a) To find the the daily total revenue you must:

  • Integrate the daily marginal revenue function,

\int R'(x)dx = \int(-0.1x+40)dx\\\\R(x)=-\int \:0.1xdx+\int \:40dx\\\\R(x)=-0.05x^2+40x+C,

where C is a constant.

  • Find the value of C, using the fact that if you sell 0 units your daily revenue is $0.

0=-0.05(0)^2+40(0)+C\\C=0

R(x)=-0.05x^2+40x

The daily total revenue realized from the sale of 210 units of the toaster oven is

x = 210 units

R(210)=-0.05(210)^2+40(210)\\R(210)=-210^2\cdot \:0.05+8400\\R(210)=-2205+8400\\R(210)=6195

(b) To find the additional revenue realized when the production (and sales) level is increased from 210 to 310 units you must:

  • Find the daily total revenue realized from the sale of 310 units

R(310)=-0.05(310)^2+40(310)\\R(310)=-310^2\cdot \:0.05+12400\\R(310)=-4805+12400\\R(310)=7595

The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is

R(310)-R(210)=7595-6195=1400

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4 years ago
11 billion in scientific notation
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11000000000
1.1 x 10^10

Billion has 9 zeros.
4 0
3 years ago
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Afirm will break even (no profit and no loss) as long as revenue just equals cost. The value of x (the number of items produced
s2008m [1.1K]

Cost function, C(x)=300+15x

Revenue function, R(x) = 30x

Profit function, P(x)=15x-300

Break point x=20.

Fixed cost = $300.

Variable cost = $15.

Price of item = $30.

Let x be the number of items produced and sold.

a) Cost function = Fixed cost + variable cost \times number of items

So, C(x)=300+15x

b) Revenue = Price of an item \times number of items

So, R(x) = 30x

c) Profit = Revenue - Cost

P(x)=R(x)-C(x)

P(x)=30x-300-15x

P(x)=15x-300

d) <u>Break even point</u> R(x)=C(x)

30x=300+15x

30x-15x=300

15x=300

x=20.

So, the product should be produced for 20 or more items.

Learn more about cost function here:

brainly.com/question/13129990?referrer=searchResults

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Answer:

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Its end behavior on the left is as follows as x approaches negative infinity y approaches positive infinity. Its end behavior on the right is as follows as x approaches positive infinity y approaches negative infinity.

Step-by-step explanation:

We can graph the function by graphing two points when x=0 and x=1.

x=0 has y=7^{-x} =7^{0} =1

x=1 has y=7^{-x} =7^{-1} =\frac{1}{7}

This function starts with higher output values and decreases over time. This is Exponential Decay. Its end behavior on the left is as follows as x approaches negative infinity y approaches positive infinity. Its end behavior on the right is as follows as x approaches positive infinity y approaches negative infinity.

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3 years ago
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