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Brums [2.3K]
2 years ago
9

Menlo Company distributes a single product. The company's sales and expenses for last month follow:

Business
1 answer:
Mariulka [41]2 years ago
5 0

The monthly break-even point in units sold and sales in dollars are 12,200 units and $488,000 respectively.

The Break−even point in units sales can be calculated using the below-mentioned formula,

Break−Even Point In Units Sales = Fixed Expenses / Contribution Margin Per Unit

Now, by using the specified values in the aforementioned calculation, we obtain,

Break−Even Point In Units Sales = $146,400/$12

= 12,200 units

To calculate the Break−even point in dollars we first have to calculate the contribution margin ratio.

The Contribution margin ratio can be calculated using the below-mentioned formula

Contribution Margin Ratio = \frac{Contribution Margin Per Unit}{Selling Price Per Unit} * 100

Now, by using the specified values in the aforementioned calculation, we obtain,

Contribution Margin Ratio = \frac{12}{40} * 100                                    

= 30%

Break−Even Point In Dollars = Fixed Expenses/Contribution Margin Ratio

Now, by using the specified values in the aforementioned calculation, we obtain,

Break−even point in dollars = $146,400/30 Percent                                          = $146,400/0.30                                          

= $488,000

Hence, The monthly break-even point in units sold and in sales dollars is 12,200 units and $488,000 respectively.

Learn more about break-even point:

brainly.com/question/15281855

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The answer is, Fertilizer A = 20, Fertilizer B = 56.

<h3>What is fertilizer and example?</h3>
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  • Organic fertilizers also include naturally occurring minerals including mine rock phosphate, sulfate of potash, and limestone.

<h3>Set up the equations:</h3>
  • Nitrogen: 8x + 5y ≥ 440.
  • Phosphorous: 2x + 5y ≥ 260.
  • Potassium: 4x + 5y ≥ 360.
<h3>Find the vertices:</h3>
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  • You can also solve each system of equations to find the intersected points.

<h3>The following satisfy the "greater than or equal to" requirement:</h3>
  • (0, 88)  = y-intercept of Nitrogen equation.
  • (20, 56) = intersection of Nitrogen and Potassium equations.
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  • (130, 0)  = x-intercept of Potassium.

<h3>Use vertices in cost function C(x) to find the minimum:</h3>

  • C(x) = $30x + $20y.
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  • (20, 56): $30(20) + $20(56) = $1720    = This is the minimum!
  • (50, 32): $30(50) + $20(32) = $2140.
  • (130, 0): $30(130) + $20(0) = $3900.

The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.  

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