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vampirchik
5 days ago
13

A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producin

g x items. The selling price is $5 for each item. Write an expression for the revenue generated by selling x items. How many items would you need to sell to break even? Write an equation and solve it.
Mathematics
1 answer:
Leona [9.2K]5 days ago
5 0
The results are displayed below. The production cost for x items is represented by the equation 120+4x, and the sales price for each item is $5. The formula for net income is y= (5 - 4)x - 120. To find the break-even unit quantity, we use the formula: Break-even units = fixed costs / contribution margin per unit, which equals 120 / 1, resulting in 120 units.
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17 days ago
Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 30 minutes. If she could increase her average s
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Response:

The loop's length is roughly 49.58 km.

Step-by-step details:

Given:

Duration to cycle the loop = 2 hours and 30 minutes

It is known that;

60 minutes = 1 hour

30 minutes = 0.5 hour

therefore, 2 hours and 30 minutes = 2+0.5 = 2.5\ hrs

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Let 's' denote the cycling speed.

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From our understanding;

Distance equals speed times time.

Representing this as an equation we have;

d =2.5s \ \ \ \ equation \ 1

Given:

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As a result, we can say;

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Consequently, time = 2.5 - 0.12 = 2.38

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This can be expressed with equations;

d =2.38(s+1) \ \ \ \ equation \ 2

The distances are equivalent in both scenarios, thus we will determine speed by equating the equations.

2.5s = 2.38(s+1)\\\\2.5s=2.38s+2.38\\\\2.5s-2.38s =2.38\\\\0.12s= 2.38\\\\s =\frac{2.38}{0.12} \approx 19.83\ km/hr

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Response:

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