Public Good Contribution: Three players live in a town, and each can choose to contribute to fund a streetlamp. The value of hav
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Answer:
Sample size = 384.16 ≈ 385
If we increase the order size to 25,000, there will be no change in the sample size as sample size is independent of the number of orders
Explanation:
Data provided in the question:
Number of sales order received per day = 2500
Confidence level = 95%
Certainty factor for 95% certainty = 1.96
Now,
Sample size =
on substituting the respective values, we get
Sample size =
or
Sample size = 384.16 ≈ 385
If we increase the order size to 25,000, there will be no change in the sample size as sample size is independent of the number of orders
Answer:
The total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month is <u>C(x) = 0.004x^2 + 90x + 8,500</u>.
Explanation:
Given,
C '(x) = 0.008x + 90 ................................... (1)
To obtain the the total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month, we obtain the integral of equation (1) as follows:
C(x) = (0.008 / 2) x^2 + 90x + F
C(x) = 0.004x^2 + 90x + F .......................... (2)
Where F is the constant.
Since total cost is the addition of the total cost and total variable cost, the F in equation (2) represents the total fixed cost per month.
Since the fixed costs incurred by Carlota are $8500/month, this implies that F = 8,500.
Substituting F = 8,500 into equation (2), we have:
C(x) = 0.004x^2 + 90x + 8,500 <-------------- Total cost per month
Therefore, the total monthly cost C(x) incurred by Carlota in manufacturing x guitars/month is <u>C(x) = 0.004x^2 + 90x + 8,500</u>.