Answer:
Control limits for x_bar are between 59.076 and 60.924
Control limits for R are between 0.669 and 5.331
Explanation:
Given data:
x_bar = 60 mph
n = 10
R = 3 mph
Step 1: Factors (see table attached)
At n = 10, factors for computing control charts limits are,
A2 = Mean factor = 0.308
D3 = Lower range = 0.223
D4 = Upper range = 1.777
Step 2: Control limits for x_bar
Lower Control limit:
LCL = x_bar - A2*R = 60 - (0.308)(3) = 60 - 0.924 = 59.076
Upper Control limit:
UCL = x-bar + A2*R = 60 + (0.308)(3) = 60 + 0.924 = 60.924
The control limits for x_bar are between 59.076 and 60.924
Step 3: Control limits for R
Lower Control limit:
LCL = D3*R = 0.223(3) = 0.669
Upper Control limit:
UCL = D4*R = 1.777(3) = 5.331
The control limits for R are between 0.669 and 5.331
Hope this helps!
Answer:
The answer is B. included in U.S. GDP because they are produced domestically
Explanation:
Exports are included in the gross domestic product as the production is done locally. Apart from exports, imports are included in the GDP as well.
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 journal entry for the sale would include a credit to sales tax payable for $156 if the selling price of the merchandise is $2600.
The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the retailer, and paid to the government. Companies must first apply for a sales tax permit from their state's department of taxation in order to be able to collect sales tax from customers. Every time a customer makes a purchase, businesses collect sales tax, which they subsequently monthly or quarterly send to the state.
As the selling price of the merchandise is $2,600 and the state sales tax is 6%, this means that 6% of $2,600 has to be paid to the state governing body.
Sales tax = 6% of 2600
Sales tax = 6/100 × 2600
Sales tax = 0.06 × 2600
Sales tax = $156
Therefore; the entry to journalize the sale would include a credit to sales tax payable for $156 if the selling price of the merchandise is $2600.
To know more about sales tax refer:
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