Answer: The change in revenue for the sale of 1 more doghouse $ 66.67 dollars
Explanation: Differential is a function that can be used to approximate function value with a great degree of accuracy. This is done by the following.
Mathematical definition of derivative: f'(x) = lim f(x+Δx) - f(x)/Δx.
If Δx is very small:
f'(x) . Δx ≅ f(x+Δx) - f(x)
Knowing that Δy ≅ f(x+Δx) - f(x) and the diferential of variable x can be written by dx as the variable y can be dy:
dy = f'(x) dx
which means that the differential dy is approximately equal to the change Δy, if Δx is very small.
For the question, R(x) = y(x) = 14,000ln(0.01x+1)
f'(x) = ![\frac{d[14,000.ln(0.01x+1)]}{dx}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5B14%2C000.ln%280.01x%2B1%29%5D%7D%7Bdx%7D)
Using the chain rule, the derivative will be:
f'(x) = 14,000.
dy = 14,000..dx
dx is the change in x. For the question, the change is 1 (1 more doghouse) and x is 110:
dy = 14,000
dy = 
dy = 66.67
The change in revenue is $66.67 dollars.
Answer:
January
Explanation:
The overtime wages should be expensed in January as in the month of february, wages will be accrued and it will be liablity for employer.
The overtime worked in month on january should be paid in january itself and overtime expense should be included in wages payable in the month of January. When wages are paid, the owner of the factory should debit the wages payable account and cash account should be credited as amount of casg paid to the employees. Wages are considered as operating expenses of factory.
Answer:
By setting the price of goods and services at a level where the suppliers and consumers feel comfortable, the quantity of goods and services supplied will be the same as the quantity of goods demanded.
Explanation:
A price system is a means of arranging economic activities by setting the standard prices of goods and services in that particular economy. In this way the agents of demand and supply can have an estimate of the price of various goods and services. In this way, a supplier who doesn't know the price of a goods or service that he/she plans to sell to a different country or region can use the price system to adjust their selling price effectively. On the same note, the consumers can also acquire goods and services that they have never demanded before by using the price system to determine the standard prices for those goods or services.
Prices are a reflection of the consensus between suppliers and consumers about the value of goods and services. The equilibrium price can be defined as the price where the quantity of goods supplied equals the quantity demanded. By setting the price of goods and services at a level where the suppliers and consumers feel comfortable, the quantity of goods and services supplied will be the same as the quantity of goods demanded.
Answer:
The Number of warehouses completed would not be a rational base for allocating overhead costs to the warehouses.
Explanation:
For allocating the overhead cost to the warehouse. Following things need to be considered.
1. Square footage of the warehouses : Based on the square foot of the warehouse, the overhead cost can be easily allocated. As different warehouses have different square foot. So there would be different allocation criteria for each warehouse.
2. Labor Hours : According to the labor hours, the overhead expense can be allocated. In warehouse, the size of labor is matter. As more labors are available, the chances of more allocation expenses would be there and if there is less labors so the allocation expenses would be less.
Depending upon the size of the labors, the allocation of overhead differs.
3. Direct material cost : The warehouse is required when more supplies of material is to be required. So here, direct material plays an very important role while allocating the overhead cost. Depending upon the quantity of material, the overhead expenses differs.
4. Number of warehouses completed : As without knowing the size and capacity of the warehouses, it is difficult to allocate the overhead expense. Moreover, the same cost is been allocated which is not acceptable.
Hence, the Number of warehouses completed would not be a rational base for allocating overhead costs to the warehouses.
Answer:
a) 0.10 or 10%
b) 0.5417 or 54.17%
Explanation:
a) The median income of $60,000 is at the 50th percentile of the distribution. If 40% if incomes are above $72,000, then an income of $72,000 is at the 60th percentile of the distribution. Therefore, the probability that a family's income will be between $60,000 and $72,000 is:
b) If the distribution is known to be uniform, the probability that a random chosen family has an income below $65,000 is:
