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charle [14.2K]
3 years ago
12

A phone company offers two monthly charge plans. In Plan A, there is no monthly fee, but the customer pays cents per minute of u

se. In Plan B, the customer pays a monthly fee of and then an additional cents per minute of use. For what amounts of monthly phone use will Plan A cost more than Plan B? Use for the number of minutes of phone use in a month, and solve your inequality for .
Business
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

For more than 180 minutes of phone use.

Explanation:

Let m represent number of minutes of phone use in a month.

We have been given that in Plan A, there is no monthly fee, but the customer pays $0.06 per minute of use.

The cost of using m minutes in plan A would be 0.06m.

We are also told that in Plan B, the customer pays a monthly fee of $4.80 and then an additional $0.03 per minute of use.

The cost of using m minutes in plan B would be 0.03m+4.80.

To find the amounts of monthly phone when Plan A will cost more than Plan B, we will set cost of plane A greater than cost of plan B as:

0.06m>0.03m+4.80

Let us solve for m.

0.06m-0.03m>0.03m-0.03m+4.80

0.03m>4.80

\frac{0.03m}{0.03}>\frac{4.80}{0.03}

m>180

Therefore, Plan A will cost more than Plan B for more than 180 minutes of phone use.

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The question is incomplete; the complete question is given below.

                        Selling Price per unit Variable  cost per unit

Product                                     $                                  $

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Salvador's contribution margin is  46.2%

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Contribution is the amount generated from the sales of a product to cover part of the total fixed cost.

Contribution is an important concept in decision making because it helps to determine the profitability of individual products where a set of products benefit from the same fixed cost. <em>it </em><em>helps in prioritizing the allocation of resources to different products based on their profitability</em> .

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Contribution margin ration: The proportion of sales realised as contribution is known as contribution margin ratio (CMR) . It represents the amount generated as contribution from every one dollar worth of sales.  A 60% margin means that $60 is made as contribution from evry sales of $100, for example.

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Contribution per unit (SP-VC)   <u>150                           175                30</u>

Cont from a mix (cont× unit)   1050                       525                 60

Revenue from a mix (SP× unit) 2240                    1200               100

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                                            = 46.2 %

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