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Vitek1552 [10]
3 years ago
11

A contractor purchases 4 dozen pairs of padded work gloves for ​$56.16. She incorrectly calculates the unit price as ​$14.04 per

pair for the expense report. What is the correct unit​ price? What is the​ error? Why is the​ contractor's unit price​ incorrect?
Mathematics
1 answer:
8090 [49]3 years ago
6 0

Answer:

The correct unit price is $1.17 per pair of gloves. The error is she used number of dozens so, firstly convert it to number of pairs of gloves then divide.

Step-by-step explanation:

It is given 4 dozen pairs of gloves for $56.16.

So, unit price = Divide the price by number of pairs of gloves.

And 1 dozen =12

So 4 dozen =4*12=48 pairs of gloves

So, to find unit rate divide 56.16  by 48.

Unit price =\frac{56.16}{48}= $1.17

So, the error is she didn't convert the dozen to units.

That made mistake in finding unit price.

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Percent means per one-hundred....

48(p/100)=12

48p=1200

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Answer:

<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>

Step-by-step explanation:

Cost, Revenue, and Profit Function

The cost function C(x) is given by

C(x)=75x+3,350

where x is the number of produced products.

The revenue function is

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With both equations, we can know the profit function as

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Or, equivalently

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Solving for x

\displaystyle x>\frac{3,350}{25}

Thus

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This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production

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