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marusya05 [52]
3 years ago
15

A retail store sells two types of shoes, sneakers and sandals. The store owner pays $8 for the sneakers and $14 for the sandals.

The sneakers can be sold for $10 and the sandals can be sold for $17. The owner of the store estimates that she won't sell more than 200 shoes each month, and doesn't plan to invest more that $2,000 on inventory of the shoes. How many of each type of shoe should be stocked in order to maximize her total monthly profit?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer:

134 sneakers and 66 sandals

Step-by-step explanation:

Sneakers= x, sandals= y

Profit rate:

  • sneakers: (10-2)/8= 25%
  • sandals: (17-14)/14= 21.4%

Sneakers are more profitable, so it should be maximized.

Cost:

8x+14y≤2000

x+y≤200

if we assume the maximum of 200 shoes stocked, then:

x= 200-y

8(200-y)+14y ≤ 2000

1600 - 8y +14y ≤ 2000

6y≤400

y≤66 and x=134 is the best option

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<em><u>The solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

<em><u>Solution:</u></em>

We have to solve the given expression

<em><u>Given expression is:</u></em>

2\frac{1}{12} - 5\frac{5}{6}

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}

5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}

<em><u>Thus the given expression becomes,</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}

Make the denominators same for easier calculations

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}

<em><u>Reducing to lowest terms, we get</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}

<em><u>In decimal form, we get</u></em>

\rightarrow \frac{-15}{4} = -3.75

<em><u>Thus the solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

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3 years ago
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Answer:

The answer is

<h2>( - 3 \: , \:  \frac{7}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2,-2) and (-4,9).

The midpoint is

M = ( \frac{ - 2 - 4}{2}  \:  , \:  \frac{ - 2 + 9}{2} ) \\  = ( -  \frac{6}{2}  \: , \:  \frac{7}{2} )

We have the final answer as

( - 3 \: , \:  \frac{7}{2} )

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Answer:

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Step-by-step explanation:

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where

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Answer:

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Step-by-step explanation:

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Finally, add.

AC=30

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