Answer:
4%
Explanation:
Simple interest is calculated using the formula
I = p x r x t
in this case, the interest I is the total amount-principal amount
I = $50,000- $46,875
=$3,125
$3,125 = 46,875 x r x 1 year 8 months
$3,125 =46,875 x r/100 x 1.67
3125=78,281.25 x r/100
$3125 x 100 = 78,281.25 x r
$312500= 78,281.25
r=312500/78,281.25
r=3.992
r=4%
Answer:
Answer explained below
Explanation:
decrease in consumer surplus = 0.5(initial number of bottles - final number)*(final price-initial price) + (final price-initial price)*(final number)
where initial number of bottles = 25
final number of bottles = 15
initial price = $390
final price = $390
substituting these values, we have
- decrease in consumer surplus = 0.5(25-15)(450-390) + (450-390)15 = 1200
Consumer surplus decreases by 1200
- Consumers will buy the good as long as marginal benefit is greater than or equal price.
Thus quantity demanded will be 2 from the table
Consumer surplus = 240- market price = 240 -220= 20
Consumers total benefit = 220*quantity demanded = 220*2= 440
Answer: $66.90 per unit
Explanation:
Cost that would be avoided is:
= Direct materials + Direct cost + Variable manufacturing overhead + part of fixed manufacturing overhead
= 20.80 + 26.50 + 6.90 + (36.10 - 31.40)
= $58.90
If the outside supplier commits to 59,000 units a year, the company should not pay more than:
= (Number of units supplied * Avoidable cost + contribution margin on other product (opportunity cost) ) / Number of units supplied
= (59,000 * 58.90 + 472,000) / 59,000
= $66.90 per unit
Answer:
The number of CDs = 111.36
The number of movie videos = 242.72
N/B: I choose not to round up the answers.
Explanation:
The method used is the Lagrangian method. Basically, the optimization problem we are trying to solve is the utility function 
subject to the constraint
.
So the optimization problem(Lagrangian) is
,
where 
is a constant called the Lagrange multiplier.
To find the optimal consumption, we need to maximize the Lagrangian with respect to the variables 
. This we do by differentiating 
with respect to each variable and then equate to 0.
Equate (1) and (2), to get 
and substitute into (3) to get 
. Substituting into 
to get the corresponding value of 
.
Answer:
$0.35
Explanation:
The computation of the price elasticity of demand using mid point formula is shown below:
= (change in quantity demanded ÷ average of quantity demanded) ÷ (percentage change in price ÷ average of price)
So, Change in quantity demanded would be
= Q2 - Q1
= 40 - 30
= 10
Now, Average of quantity demanded
= (40 + 30) ÷ 2
= 35
Change in price
= P2 - P1
= $35 - $15
= $20
And, the average of price would be
= ($35 + $15) ÷ 2
= $25
Cross price elasticity of demand = (10 ÷ 35) ÷ ($20 ÷ $25)
= 0.28 ÷ $0.8
= $0.35
