Which of the following is true if the volume of sales increases (within a relevant range)? A. total fixed cost increases B. to
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Answer:
NPV with a 14.9% discount rate: 6,329.06
The toy should be produced as the NPV is positive.
IRR = 26.65%
Explanation:
First we calculate for the NPV using the given discount rate of 14.9%
We will calculate the present value of each year cash inflow:
Year 1 cash inflow: 47,500.00
time 1.00
rate 0.149
PV 41,340.30
Year 2 cash inflow: 18,600.00
time 2.00
rate 0.149
PV 14,088.76
Then, we add them and subtract the investment to get NPV
NPV = 14,088.76 + 41,340.3 - 49,100 = 6,329.06
The toy should be produced as the NPV is positive.
Now for the IRR
That is the rate at which NPV equals zero we can solve for this using the quadratic equation as there are only two cash flow:
Year 1 will discount at (1+IRR)
Year 2 will be discount at (1+IRR )^2
So we can express and recreate the quadratic formula:
18,600 X^2 + 47,500 X - 49,500 = 0
A = 18,600
B = 47,500
C = -49,100
We can solve and get:
x1 = 0.78957
x2 = -3.3433
We take the positive value.
and now solve for IRR
IRR = 0,2665121 = 26.65%
This will be the IRR for the project.
Solution :
According to the theory of demand and supply, the equilibrium price and the quantity is established where both the demand and supply curves intersect.
From the graph, we can see that the point of equilibrium is at the intersection of D and S.
At this point, mathematically, D = S. In order to determine the price and quantity which exists at this point, we need to equate the demand as well as supply functions to calculate the equilibrium values.
∵ D is equal to S, we have
Now substituting this value of the equilibrium price in to any of the functions, we get the equilibrium quantity at this price.
This is the equilibrium quantity. At this point, equilibrium price as well as the quantity is the same. Let the price of the golf club increases from $120 to $140. So substituting the value to the function above to determine the new quantity.
= 100
Therefore, when the demanded quantity decreases from 120 thousand clubs to 100 thousand clubs. This increases the price and decreases the quantity as the supply curve moved to the left. The demand remains constant.