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malfutka [58]
3 years ago
9

The demand function for a certain make of ink-jet cartridge is the following where p is the unit price in dollars and x is the q

uantity demanded each week, measured in units of a thousand. $ p = - {\color{black}0.07} x^2 -{\color{black}0.7} x +6$ Compute the elasticity of demand when x = 5. (Round your answer to two decimal places.)
Business
1 answer:
Paul [167]3 years ago
7 0

Answer:

The answer to the following question is: (-9.34)

Explanation:

Given that:

p = -0.07 x^2 - 0.7x  + 6

The price elasticity of demand = ( change in quality / change in price)

     =   (dp / dx)  (x/p)

     =   d / dx   (-0.07 x^2 - 0.7x  + 6)   x / p

     =   (-0.14x - 0.7)  x/ (-0.07 x^2 - 0.7x  + 6)

elasticity = (-0.14x^2 - 0.7x) / (-0.07 x^2 - 0.7x  + 6)

at x=5;

elasticity = (-0.14(5)^2 - 0.7(5)) / (-0.07 (5)^2 - 0.7(5)  + 6)

              = (-3.5 - 3.5) / (-1.75 - 3.5 + 6)

              =  -7/ 0.75 = -9.333

              = -9.34

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If the price elasticity of demand for a product equals 1, as its price rises the:______
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Answer:

c. total revenue does not change.

Explanation:

A price elasticity of demand can be defined as a measure of the responsiveness of the quantity of a product demanded with respect to a change in price of the product, all things being equal.

Mathematically, the price elasticity of demand is given by the formula;

Price \; elasticity of demand = \frac {Percentage \; change \; in \; quantity \; demanded}{Percentage \; change \;  in \; price}

The demand for goods is said to be elastic, when the quantity of goods demanded by consumers with respect to change in price is very large. Thus, the more easily a consumer can switch to a substitute product in relation to change in price, the greater the elasticity of demand.

Generally, consumers would like to be buy a product as its price falls or become inexpensive.

For substitute products (goods), the price elasticity of demand is always positive because the demand of a product increases when the price of its close substitute (alternative) increases.

If the price elasticity of demand for a product equals 1, as its price rises the total revenue does not change because the demand is unit elastic.

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lbvjy [14]

Answer:

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