The decision-making process followed by consumers to maximize utility assumes that the consumer has a limited income, the consumer is able to rank their preferences, the consumer behaves rationally.
The term utility used by the economist as a measure of satisfaction, happiness, a joy of a person.
Answer:
1. $100,000 and 25%
2. $137,200 and 34.3%
3. $150,000 and 27%
Explanation:
1. It does not expand
a. Net income= $100,000 (as given in the question)
b. Return on equity= (net income)/(shareholder’s equity)
Shareholder’s equity= $400,000
Thus return on equity= 100000/400000 = 0.25 or 25%
2. It expands and issue $160,000 in debt
a. Net income= $100000 + 50000 – 12800 (debt interest 8% of $160000)
= $137,200
b. Return on equity= (net income)/(shareholder’s equity)
= 137200/400000
=0.343 or 34.3%
3. It expands and raises equity of $160000
a. Net Income= $100000 + 50000
= $150000
b. Return on equity= (net income)/(shareholder’s equity)
= 150000/(400000 + 160000)
Where ($560,000) 400000 + 160000 is shareholder’s equity
= 0.27 or 27%
Answer:
Amount of money invested is $2,000 and $4,000
Explanation:
In this question, we are asked to calculate how much was invested in two different accounts given the amount of money invested in both accounts.
Let the amount of money invested in both accounts be a and b respectively.
Mathematically;
A + B = 6000 ......I
Now we use the formula for simple interest to check the amount that is supposed to be made on Both accounts if he end of a year.
Formula for simple interest is I = PRT/100
Let’s apply this to what is on ground:
5*1* a/100 = 5a/100
Second is
9*b*1/100 = 9b/100
That is 5a + 9b = 38,000. ........ii
Solving Both simultaneously as follows:
Let A = 6000-b from 1
Substitute this into 2
5(6000-b) + 9b = 38,000
30,000 -5b + 9b = 38,000
4b = 8,000
b =$2000
This means a would be 6000 - 2,000 = $4000
Answer:
Explanation:
Assume the <em>cost</em> equation to be:
Where 
is the number of units (wooden baseball bats) produced.
The <em>average cost per unit of production level</em> is the total cost divided by the number of units produced:
You are given that the <em>average cost per unit of a production level of 7,700 bats is $14</em>, then:
You are also given that the <em>fixed costs</em> are <em>$22,500</em>, thus A = 22,500. Hence, you can substitute the value of A in the previous equation and find B:
Now you can complete the cost equation:
And to predict the total costs for 8,600 bats you must subsitute x with 8,600 in the previous equation:
