Part a) The Cob Douglas production function is given as:
To show that this function is homogeneous with degree 3, we introduce be a parameter, t.
Using properties of exponents, we on tinder:
This implies that:
Simplify the exponent of t to get;
Hence the function is homogeneous with degree, 3
Part b) To verify Euler's Theorem, we must show that:
Verifying from the left:
Q•E•D
Answer:
<h2>In the context of Consumer Theory or Indifference Curve involving two goods,the opportunity of any one good is computed by how much of the other good is foregone or sacrificed to purchase one more unit of that particular good.</h2>
Explanation:
- In this instance,when Bill's diner consumes 35 burgers and 25 hotdogs,its opportunity cost of additional hot dog=
.Therefore,initially Bill diner's opportunity cost of an additional hot dog is 1.4 units of burger.
- Now,when Bill's diner chooses to consume a combination of 25 burgers and 65 hot dogs,its opportunity cost of additional hot dogs=
approximately.Hence,Bill's diner is willing to sacrifice approximately 0.385 units of burger to consume an additional unit of hot dog. - Now,due to the change in consumption combination,the change in opportunity cost of additional hot dog=
units of burger.Notice,that here the opportunity cost of additional hot dog decreased from 1.4 units of burger to 0.385 units of burger as Bill's diner changed the consumption combination of both burgers and hot dogs.
Answer:
Variable manufacturing overhead rate variance= $664 favorable
Explanation:
Giving the following information:
Variable overhead 0.2 hours $ 5.10 per hour
The company used 1,660 direct labor-hours to produce this output. The actual variable overhead cost was $7,802.
<u>To calculate the variable overhead rate variance, we need to use the following formula:</u>
Variable manufacturing overhead rate variance= (standard rate - actual rate)* actual quantity
Actual rate= 7,802/1,660= $4.7
Variable manufacturing overhead rate variance= (5.1 - 4.7)*1,660
Variable manufacturing overhead rate variance= $664 favorable
Answer:
Explanation:
Cost of advertising the product - Selling & Administrative Cost
Fabric used to make the umbrellas -Direct Materials Cost
Maintenance of cutting machines used to cut the umbrella fabric so it will fit the umbrella frame -Manufacturing overhead Cost
Wages of workers who assemble the product - Direct labour Cost
President's salary - Selling & Administrative Cost
The salary of the supervisor of the people who assemble the product - Selling & Administrative Cost
Wages of the product tester who stands in a shower to make sure the umbrellas do not leak - Direct labour Cost
Cost of market research survey - Selling & Administrative Cost
Salary of the company's sales managers - Selling & Administrative Cost
Depreciation of administrative office building - Selling & Administrative Cost
