Answer:
the simple multiplier is equal to 4
Step-by-step explanation:
In an economic model,
Y= C + I + G + (X - M)
the average expenditure Y must be equal to the totality of the output
If C = 3 + 0.75Y
where;
marginal propensity to consume MPC = 0.75
Then,
Y = 3 + 0.75Y + 2 + 1
Y = 6+0.75 Y
Y - 0.75 Y = 6
0.25 Y = 6
Y = 6/0.25
Y = 24
However, the simple multiplier can be expressed as:
= 4
Answer:
<em>Maximum: (-1,9)</em>
Step-by-step explanation:
<u>Vertex form of the quadratic function</u>
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:
Where a is the leading coefficient.
We are given the following function:
To find the vertex, we need to complete squares. First, factor -2 on the first two terms:
The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:
Taking out the -1:
Factoring the trinomial and operating:
Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)