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schepotkina [342]
4 years ago
14

The diagram shows a sketch of John's yard. He wants to plant grass, so he must calculate the area of the yard. The distance from

A to B is 200 feet; the distance from C to D is 260 feet, and the straight line distance between AB and DC is 220 feet. The area of the yard is
A) 5,720,000 square feet
B) 25,300 square feet
C) 50,600 square feet
D) 57,200 square feet
Mathematics
1 answer:
Arturiano [62]4 years ago
3 0

The area of the yard is 50,600 square feet.

Option: C.

<u>Step-by-step explanation:</u>

The given information forms a trapezoid.

The AB is the upper base (a) and its length is 200 feet.

The CD is the lower base (b) and its length is 260 feet.

A straight line distance from AB and CD is the height (h) and its measures as 220 feet.

The area of trapezoid A= \frac{a+b}{2} (h).

A= \frac{200+260}{2} (220).

=\frac{460}{2}(220).

=230(220).

=50600 ft^2.

Thus the area of John's yard is 50,600 square feet.

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The annual breakeven point is $550157

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

Contribution margin=31-21.10

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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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contribution margin ratio=0.319

contribution margin ratio=31.9%

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

Break-even point=Fixed cost/contribution margin

Break-even point=175500/9.9

Break-even point=17727.27

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

Break-even sales=Fixed cost/contribution margin ratio

Break-even sales=(175500/31.9)×100

Break-even sales=550157

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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