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777dan777
14 days ago
11

2.36 Is it worth it?: Andy is always looking for ways to make money fast. Lately, he has been trying to make money by gambling.

Here is the game he is considering playing: The game costs $2 to play. He draws a card from a deck. If he gets a number card (2-10), he wins nothing. For any face card ( jack, queen or king), he wins $3. For any ace, he wins $5, and he wins $25 if he draws the ace of clubs. Round answers to 2 decimal places. a) Andy's expected profit per game is: $ b) Would you recommend this game to Andy as a good way to make money? Explain. Yes, Andy could be lucky and might earn money in the long-run playing this game No, we expect Andy to lose money each time he plays this game
Mathematics
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A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b
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Answer:

The amount of ovens that must be produced in a week to earn a $1610 profit is 70.

Step-by-step explanation:

Given:

A small-appliance manufacturer determines the profit P (in dollars) from producing x microwave ovens weekly by the formula:

P=\frac{1}{10}x(300-x)

with 0 ≤ x ≤ 200.

The target profit is $1610

So, set P = 1610, then solve for x:

1610=\frac{1}{10}x(300-x)

Multiply both sides by 10:

1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10

16100=x\left(300-x\right)

16100=300x-x^2

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Next, factor the quadratic:

(x-70)(x-230)=0

Solving for x gives:

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Hence, the valid solution is x=70.

Therefore, to achieve a $1610 profit, the manufacturer must produce 70 ovens weekly.


7 0
3 months ago
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