From the calculation below, the profit-maximizing labor input is 0.0625, and the profit of the firm is 0.125.
<h3>How do we determine profit-maximizing labor input and profit?</h3>
From the question, we can obtain:
R = Revenue = Q*P = L^0.5 * 1 = L^0.5
C = Cost = w * L = 2L
P = Profit = R - C = L^0.5 - 2L
To obtain the profit-maximizing labor input, the first derivative of P is taken, equated to zero, and we solve for L as follows:
P' = 0.5L^-0.5 - 2 = 0
0.5L^-0.5 = 2
L^-0.5 = 2 / 0.5
L^-0.5 = 4
L^(-0.5/-0.5) = 4^(-1/0.5)
L = 0.0625 ----> profit-maximizing labor input
The profit (P) of the firm can now be calculated by substituting L = 0.0625 into the P function as follows:
P = 0.0625^0.5 - (2 * 0.0625) = 0.125 --------> Profit of the firm
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Answer:
$1.00
Explanation:
The equilibrium price is the prevailing market price represented by the intersection of the demand and supply curve. At the equilibrium price, the quantity demanded and quantity supplied match. It means that there are no shortages or excesses in demand or supply at the equilibrium price.
From the graph, $1 is the equilibrium price. It is the intersection of demand and supply curves.
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Answer:
D) Only $7,000 of the office expenses can be deducted; the remaining $1,000 can be carried forward to future tax years.
Explanation:
Since Gene's profit before home expenses is only $7,000, he can only deduct up to $7,000 for this year. That way his net profit will be $0. The remaining $1,000 must be carried forward so that he can use them in the future, probably next year he will add them to his deductions. If a business losses money, the government pay you anything, taxes only work one way, you have to pay.
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