Suppose in the short run a firm’s production function is given by Q = L 1 2 K 1 2 and that K is fixed at K = 10. If the price of Labor, w = $15 per unit of Labor, what is the firm’s marginal cost of production when the firm is producing 50 units of output?
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Ответ:
The firm’s marginal cost of production when the firm is producing 50 units of output is 33.33
Solution:
The production function is Q =![\sqrt{L * K}](/tpl/images/0561/9763/bad3c.png)
The initial value is 10 units. The production value is 50 units The manufacturing cycle needs work as stated below.
Q =![\sqrt{L * K}](/tpl/images/0561/9763/bad3c.png)
Q =![\sqrt{L * 10}](/tpl/images/0561/9763/08806.png)
L =![(\frac{Q}{3.162} )^{2}](/tpl/images/0561/9763/aa89c.png)
The wage rate is $15 . The following is the expense of the manufacturing process.
TC =![P_{L} * L + P_{K} * K](/tpl/images/0561/9763/ceda6.png)
TC =![( 15 * (\frac{Q}{3.162} )^{2} ) + [ P_{k * 10}]](/tpl/images/0561/9763/bdcdb.png)
The marginal production cost is really the increase in manufacturing costs as output increases by 1 point.
As listed below, the marginal cost:
TC =![( 15 * (\frac{Q}{3.162} )^{2} ) + [ P_{k * 10}]](/tpl/images/0561/9763/bdcdb.png)
MC =
= ![\frac{2Q}{3}](/tpl/images/0561/9763/1beb0.png)
MC =
= 33.33
Ответ:
Dr Cash $3,304,790
Cr Bonds payable $2,700,000
Cr Premium on bond issued $604,790
Explanation:
The journal entry to record the bonds’ issuance will be illustrated below:
January 1, 2019
Debit Cash $3,304,790
Credit Bonds payable $2,700,000
Credit Premium on bond issued $604,790