Answer:
Number of units possible in S are 4.
Explanation:
Given <em>S</em> is a set of complex number of the form
where <em>a</em> and <em>b</em> are integers.
is a unit if
exists such that
.
To find:
Number of units possible = ?
Solution:
Given that:

Taking modulus both sides:

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

So,
......... (1)
Let 
Then modulus of z is 
Given that a and b are <em>integers</em>, so the equation (1) can be true only when
(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:

Hence, number of units possible in S are 4.
Answer:
The correct answer is option A.
Explanation:
A market outcome will be considered economically efficient if the marginal benefit earned from the last unit is equal to the marginal cost incurred in the production of the last unit while the economic surplus or the sum of consumer surplus and producer surplus is at maximum.
If the marginal cost and benefit are not equal then the outcome is said to inefficient. It means that either the resources are not being allocated efficiently or the production is not efficient.
Answer:
Dialogue with a goal of helping another be more effective and achieve his or her full potential on the job is referred to as coaching.
Answer:
Explanation:
a. A temporary increase in government purchases would result in a reduction in savings, which would, in turn, lead to the implementation of higher taxes by the government so as to match prices and wages.
This would: make output to remain unchanged, real interest to increase and current price level to increase as well.
b. A reduction in expected inflation would lead to an increment in the demand for real money, as people do not expect inflation to increase for a while. Thus, more demand creates a reduction in the price level. Everything else remains unchanged. This would: make output remain unchanged, real interest remain unchanged and the current price level to decrease.
C. A temporary increase in labor supply would make more people have jobs and therefore more people can save. If more people save the interest rates are liable to decrease therefore money demand will increase. This would: make output to increase, real interest to decline and current price level to decrease.
d. An increase in the interest rate paid on money will lead to a higher demand for money. With an unchanged nominal money supply and higher money demand, the price would decline but everything remains unchanged. This would make: output remain unchanged, real interest remains unchanged and the current price level decrease.