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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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svet-max [94.6K]
Gallon of milk: $3.49
3lbs oranges: $1.14(3) = $3.42
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Front end estimation is taking the number in front and the rest of the numbers coming after it will be zeroes.

Using front end estimation:
$3.49 => $3.00
$3.42 => $3.00
$3.46 => $3.00

Add all these up; Shen estimated the total cost of the groceries would be $9.00.
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3 years ago
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1

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3 years ago
The graph of an equation is shown below:
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Answer:

(1, 3)

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6 0
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There are 11 candidates for three postions at a restaraunt. One postion is for a cook. The second position is for a food server
LenaWriter [7]

Answer:

165 combinations possible

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₁₁C₃ = \frac{11!}{3!(11-3)!}

which simplifies to

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The area of a rectangle gets reduced by 9 sq. units,if its length is reduced by 5 units and Breadth is increased by 3 units.If w
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Let the length and breadth of the rectangle be x and y.

Area of rectangle is A = xy

Therefore, the new length will be = x-5

Therefore, the new breadth will be = y + 3

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.

Cross – multiplication method–

\dfrac{x}{{{b_1}{c_2} - {b_2}{c_1}}} =\dfrac{y}{{{a_2}{c_1} - {c_2}{a_1}}} = \dfrac{1}{{{a_1}{b_2} - {a_2}{b_1}}} || x = \dfrac{{{b_1}{c_2} - {b_2}{c_1}}}{{{a_1} {b_2} - {a_2}{b_1}}} y = \dfrac{{{a_2}{c_1} - (c_2}{a_1}}}{{{a_1}{b_2}-{a_2}{b_1}}}\\

\Rightarrow \dfrac{x}{{305 - ( - 18)}} =\dfrac{y}{{ - 12 - ( - 183)}} = \dfrac{1}{{9 - 10)}}\\\

\Rightarrow \dfrac{x}{{323}} = \dfrac{y}{{171}} = \dfrac{1}{{19}} \\\Rightarrow x = 17, y = 9 \\

Therefore, the length is 17 and breadth is 9.

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