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ikadub [295]
3 years ago
15

A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x < 10,000), then the price per s

ticker is 0.14 − 0.000002x dollars, and the total cost of producing the order is 0.091x − 0.0000005x2 dollars. Use the fact that profit = revenue − cost to express P(x), the profit on an order of x stickers, as a difference of two functions of x.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0

Answer:

P(x) = (0.049x - 0.0000015x²)

Step-by-step explanation:

price per sticker is 0.14 − 0.000002x dollars

total cost of producing the order is 0.091x − 0.0000005x² dollars.

P(x) = profit = Revenue - Cost

Let the number of units of stickers made be x

Revenue = (price per sticker) × (total units sold) = (0.14 − 0.000002x) × (x)

= (0.14x - 0.000002x²) dollars.

Cost of producing x units in the order = (0.091x − 0.0000005x²)

P(x) = 0.14x - 0.000002x² - (0.091x − 0.0000005x²) = 0.14x - 0.091x - 0.000002x² + 0.0000005x²

= (0.049x - 0.0000015x²)

P(x) = (0.049x - 0.0000015x²)

Hope this Helps!!!

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Vladimir [108]

Answer:

n= -3.1

Hope this helps!

4 0
3 years ago
Read 2 more answers
skyalr makes turkey sandwiches for a family. he purchases 5 pounds 4 ounces of sliced Turkey for $26.88.what is the unit cost pe
algol [13]

Answer:

$0.32/ounce

Step-by-step explanation:

Total cost of Turkey - $26.88

Amount Purchased - 5 pounds 4 ounces

16 ounces in a pound

5 x 16 + 4 = 84

\frac{84x}{84} = \frac{26.88}{84}

x = $0.32

7 0
3 years ago
George is reading a book.On Monday he read 1/3 of the book. On Tuesday he reads three-tenths of the remaining pages. He has 35 p
solniwko [45]

Answer:

Step-by-step explanation:

m=p/3

t=(3/10)(1-1/3)

t=(3/10)(2/3)=p/5

p-p/3-p/5=35

(15p-5p-3p)/15=35

7p/15=35

7p=525

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So the book has 75 pages.

3 0
2 years ago
Help fast!! please.
alexira [117]

Answer:

Mean = 10

Variance = 30.89

Standard Deviation = 5.56

Step-by-step explanation:

Find the Mean, Variance and Standard deviation

6, 14, 8, 2, 11, 7, 12, 4, 18, 18

Step 1

We rearrange the data and find the Mean

2, 4, 6, 7, 8, 11, 12, 14, 18, 18

Mean = Sum of values/Number of values

= 2 + 4+ 6+ 7+ 8 + 11 + 12 + 14 + 18 +18/10

= 100/10

= 10

Step 2

We find the variance of this sample days ma

Variance = (x - Mean)²/n - 1

n = 10

Hence,

=( (2 - 10)² +(4 - 10)²+ (6 - 10)²+ (7 - 10)² + (8 - 10)² + (11 - 10)² + (12 - 10)² + (14 - 10)² + (18 - 10)² +(18 - 10)²) /10 -1

= ( 64 + 36 + 16 + 9 + 4 + 1 + 4 + 16 + 64 +64)/9

= 278/9

= 30.88888889

Approximately = 30.89

Step 3

Standard Deviation = √Variance

= √30.89

= 5.5578772926

Approximately = 5.56

6 0
3 years ago
Order the numbers 0.2, 1/5, 0.02, 0.022 from least to greatest.
PSYCHO15rus [73]
0.022, 0.02, 0.2, 1/5, 
7 0
3 years ago
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