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Lemur [1.5K]
3 years ago
15

Suppose the demand for tacos decreases. What will happen to producer surplus in the market for tacos?

Business
1 answer:
velikii [3]3 years ago
6 0

Answer:

it decreases

Explanation:

As a result of the decrease in demand for tacos, the price of tacos would fall, all other things remaining equal.

Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product. As a result of the fall in price, the producer surplus would decrease.

Assume that price of tacos before the fall in demand is $10

the least price, the seller is willing to sell tacos is $3.

Producer surplus = $10 - $3 = $7

After the fall in demand, price falls to $8

producer surplus becomes = $8 - $3 = $5

We can see that producer surplus fell

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1 year ago
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3 years ago
Let $S$ be the set of complex numbers of the form $a + bi,$ where $a$ and $b$ are integers. We say that $z \in S$ is a unit if t
lakkis [162]

Answer:

Number of units possible in S are 4.

Explanation:

Given <em>S</em> is a set of complex number of the form a+bi where <em>a</em> and <em>b</em> are integers.

z\in S is a unit if w\in z exists such that zw=1.

To find:

Number of units possible = ?

Solution:

Given that:

zw = 1

Taking modulus both sides:

|zw| = |1|

Using the property that modulus of product of two complex numbers is equal to their individual modulus multiplied.

i.e.

|z_1z_2|=|z_1|.|z_2|

So,

|zw| = |1|\\\Rightarrow |zw| =|z|.|w| =1\\\Rightarrow |z|=\dfrac{1}{|w|}......... (1)

Let z=a+bi

Then modulus of z is   |z| = \sqrt{a^2+b^2}

Given that a and b are <em>integers</em>, so the equation (1) can be true only when |z| = |w| =1 (Reciprocal of 1 is 1). Modulus can be equal only when one of the following is satisfied:

(a = 1, b = 0) ,  (a = -1, b = 0), (a = 0, b = 1) OR (a = 0, b = -1)

So, the possible complex numbers can be:

1.\ 1 + 0i = 1\\2.\ -1 + 0i = -1\\3.\ 0+ 1i = i\\4.\ 0 -1i = -i

Hence, number of units possible in S are 4.

6 0
4 years ago
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