A classroom of children has 13 boys and 17 girls in which five students are chosen to do presentations. In how many ways can the
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Answer:
The profit maximizing output level declines by 2.5 units and the price rises by $100.
Explanation:
In a monopoly market the inverse demand curve is given as,
P = 1,200 - 40Q
The marginal cost of production of the last unit is $200.
The total revenue is
=
=
The marginal revenue of the last unit is
=
= 1,200 - 80Q
At equilibrium the marginal revenue is equal to marginal price,
MR = MC
1,200 - 80Q = 200
80Q = 1,000
Q = 12.5
Putting the value of Q in the inverse demand function,
P =
P = $700
Now, if the marginal cost rises to $400,
At equilibrium the marginal revenue is equal to marginal price,
MR = MC
1,200 - 80Q = 400
80Q = 800
Q = 10
Putting the value of Q in the inverse demand function,
P =
P = $800
The question is incomplete. The complete question is :
On January 1, an investment account is worth 50,000. On May 1, the value has increased to 52,000 and 8,000 of new principal is deposited. At time t, in years, (4/12 < t < 1) the value of the fund has increased to 62,000 and 10,000 is withdrawn. On January 1 of the next year, the investment account is worth 55,000. The approximate dollar-weighted rate of return (using the simple interest approximation) is equal to the time-weighted rate of return for the year. Calculate t.
Solution :
It is given that :
Worth of investment account on 1st Jan = 50,000
Worth of investment account on 1st Jan next year = 55,000
New principal deposited = 8000
Therefore the interest earned = 55,000 - 50,000 - 8,000 + 10,000
= 7,000
Therefore,
= 0.13667
7000 = 0.13667(55,333.33 - 10000 + 10000t)
= 0.5885
Thus, time - weighted rate of the return = 0.5885