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Answer:
Explanation:
U(C, L) = (C – 100) × (L – 40)
(a) C = (w - t)[110 - L] + 320
C = 10[110 - L] + 320
C + 10L = 1420
where,
C- consumption
w - wages
t - taxes
L - Leisure
(b) Given that,
L = 100 then,
C = 420



= 5.33
(c) L = 110
C = 320
Reservation wage:


= 3.14
(d) At optimal level,

C - 100 = 10L - 400
C - 10L = -300
C = 10L - 300
Using budget constraint:
C + 10L = 1420
10L - 300 + 10L = 1420
20L = 1720
L* = 86 and C* = 560
Answer:
External funds needed = $40,000.
Explanation:
An increase in the firm's retained earnings (a component of the shareholder's equity) arises as a result of higher sales volume, thereby making the Asset = Liability + Shareholder's Equity Equation unbalanced.
Therefore, there must be an increment in the firm's assets by an equal amount in order to re balance the equation. If there is an increase in assets by a greater magnitude than retained earnings increment, the gap is filled by external financing (which is a liability and increases the liability component of the equation).
Net income = Sales * profit margin = $500000*10% = $50000
Dividend= Net income * payout ratio = $50000*20%= $10000
Increase in retained earnings = Net income - Dividend = $(50000-10000)
= $40000
Increase in assets = $80000
External funds needed = $(80000-40000) = $40,000.