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GrogVix [38]
3 years ago
15

A box contains 4 black pens and 2 red pens. One pen is chosen at random, and then another pen is chosen at random without replac

ement. What is the probability a black pen was chosen, and then another black pen? *
Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

Probability is 2/5 or 40%.

Step-by-step explanation:

4/(4+2) = 4/6 = 2/3 first black pen is chosen.

3/5 - second pen is chosen without replacement.

2/3 *3/5= 2/5 - the probability a black pen was chosen, and then another black pen without replacement.

2/5*100 % = 40 %

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Given that the Sales price is $ 31.00, Per-unit variable costs: Invoice cost is 17.05, Sales commissions is 4.05, Total per-unit variable costs is $ 21.10, Total annual fixed costs: Advertising is $ 23,100, Rent is 28,200, Salaries is 124,200 and Total fixed costs is $ 175,500.

The break-even point is your total fixed cost divided by the difference between the unit price and the variable cost per unit.

The sales price is $31 and the total variable cost is $21.10.

Now, we will find the Contribution margin by subtracting the Total variable cost from the sales price, we get

Contribution margin= Sales price-Total sales price

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Further, we will find the contribution margin ratio by dividing the contribution margin by Sales price, we get

contribution margin ratio=contribution margin/Sales price

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Furthermore, we will find the break-even point, we get

Break-even point=Fixed cost/contribution margin

Break-even point=175500/9.9

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Now, we will find the break-even sales in dollars, we get

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Break-even sales=(175500/31.9)×100

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Hence, the annual breakeven point in unit sales is calculated to be $550157.

Learn more about the break-even point from here brainly.com/question/10573173.

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