Answer:
With a population growth of 2%, the GDP has to grow 12.6% per year in order to real GDP per person double in 7 years.
Explanation:
It is necessary to state the formula to calculate the GDP growth per person in 7 years and some assumptions. Defining as base of population and GDP the number 100 (aleatory picked) we can write our equation: GDP per person in year 7 = 100(1+x)^7/100(1+0.02)^7=2 In this equation X is the fixed percentage of GDP growth. By iteration process, we get that X=12.6%
<em>The answer is </em><em>FALSE.</em><em>
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Profit is maximized when Q = 4 and P = $40, with maximum profit = $90.
<u>Explanation:</u>
(a) (i) Marginal cost (MC) = Change in Total cost (TC) by Change in output (Q)
(ii) Total revenue (TR) = Price (P) into Q
(iii) Marginal revenue (MR) = Change in TR by Change in Q
(iv) Profit = TR - TC
Therefore:
Q TC MC P TR MR PROFIT
0 25 60 0 -25
1 40 15 55 55 55 15
2 45 5 50 100 45 55
3 55 10 45 135 35 80
4 70 15 40 160 25 90
5 90 20 35 175 15 85
6 115 25 30 180 5 65
7 145 30 25 175 -5 30
8 180 35 20 160 -15 -20
9 220 40 15 135 -25 -85
10 265 45 10 100 -35 -165
When Q = 4, MR = $25 and MC = $15, so MR > MC. When Q = 5, MR = $15 and MC = $20, so MR < MC. Therefore,
Profit is maximized when Q = 4 and P = $40, with maximum profit = $90.
(b) In the long run, new firms will enter the market by being attracted by positive short run profit. Therefore in long run, demand for individual firm will decrease, price for individual firm will decrease and profit will decrease until each existing firm earns zero economic profit.
