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Pie
3 years ago
13

A company makes concrete bricks that are shaped like rectangular prisms. Each brick is 5 inches long, 4 inches wide, and 2 inche

s tall. How much concrete will they need to make 1600 bricks?
Mathematics
1 answer:
astraxan [27]3 years ago
8 0

Answer:

64000 \ in.^3

Step-by-step explanation:

The amount of concrete needed would be measurable by the volume of the brick, since a brick is three-dimensional.

The volume of a rectangular prism is found using the formula: V=l \times w \times h

You are given the length (5 in.), width (4 in.), and height (2 in.) of the bricks. Find how much concrete is needed to make a single brick.

Single brick volume:

  • 5 \ in. \ \times 4 \ in. \ \times 2 \ in.
  • 40 \ in.^3

In order to find how much concrete would be needed to make 1600 bricks, you would need to multiply the amount of concrete needed to make 1 brick by 1600.

  • 40\ in.^3 \times 1600
  • 64000 \ in.^3

The company would need 64000 \ in.^3 of concrete to make 1600 bricks.

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The demand equation for a manufacturer's product is:
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From the given price function, we have;

(a) \frac{dp}{dq}  =  - 13

(b) The point elasticity of demand is 0.0256<u>;</u><u> </u><u>i</u><u>nelastic demand</u>

(c) $46.6

(d) Increase

<h3>How can the elasticity of demand be found?</h3>

a. The given function is presented as follows;

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Differentiating the above function with a graphing calculator and setting q = 150 gives;

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e \:  = \frac{dq}{dp}  \times  \frac{p}{q}

When q = 150, we have;

P = 50

Which gives;

e \:  =  \frac{1}{13} \times  \frac{50}{150}  = 0.0256

The point elasticity of demand, <em>E </em>= <u>0.0256</u>

  • The <u>demand is inelastic</u> (less than 1) when the quantity demanded is 150 units

c. If the quantity demanded decreases from 150 to 140 units, we have;

0.0256 \:  =  \frac{1}{13} \times  \frac{p}{140}  =

Which gives;

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d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;

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R = p × q

Learn more about elasticity of demand here;

brainly.com/question/19141990

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