Answer:
J = 0.422
K = 0.58
Explanation:
When a portfolio is said to have risk that is equal to market, this means that the beta is equal to 1.
Let us define the weight of stock J = x
Let us define the Weight of stock K = (1-x)
To get the The Beta of portfolio = (x*1.26) + ((1-x)*0.81) = 1
When we open the brackets,
1.26x + 0.81 - .81x = 1
1.26x-0.81x = 1-0.81
0.45x = 0.19
To get x we divide through by 0.45
X = 0.422
Therefore the Weight of stock J = 0.422
Then the Weight of stock K = 1 - 0.422 = 0.578
Approximately 0.58
Answer:
About the Lagrangian method,
We can use it to solve both consumer's utility maximization and firm's cost minimization problems.
Explanation:
Lagrangian method is a mathematical strategy for finding the maxima and the minima of a function subject to equality constraints. Equality constraints mean that one or more equations have to be satisfied exactly by the chosen values of the variables. Named after the mathematician, Joseph-Louis Lagrange, the basic idea behind the Lagrangian method is to convert a constrained problem into a Lagrangian function.
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 = 
The initial value is 10 units. The production value is 50 units The manufacturing cycle needs work as stated below.
Q =
Q = 
L = 
The wage rate is $15 . The following is the expense of the manufacturing process.
TC = 
TC = ![( 15 * (\frac{Q}{3.162} )^{2} ) + [ P_{k * 10}]](https://tex.z-dn.net/?f=%28%2015%20%2A%20%28%5Cfrac%7BQ%7D%7B3.162%7D%20%29%5E%7B2%7D%20%29%20%2B%20%5B%20P_%7Bk%20%2A%2010%7D%5D)
The marginal production cost is really the increase in manufacturing costs as output increases by 1 point.
As listed below, the marginal cost:
TC =
MC = 
= 
MC = 
= 33.33
Answer: The correct option therefore is > upward sloping
Explanation:
When resources are limited in quantity, the cost of production would increase. Hence, in the long run, the supply curve will be upward sloping.
Answer:
$15,000
Explanation:
Joe has sold the house he has been living in for 10 years to the Smiths family
He sold the house at $300,000
Joe receives $50,000 more than the original price bargained 10 years ago
He pays the real estate agent a commission of 5%
= 5/100
= 0.05
Therefore the increase in gross domestic product can be calculated as follows
= $300,000×0.05
= $15,000
Hence, the transaction will increase the gross domestic product by $15,000
