A coffee shop uses an online system to engage customers. After each transaction, customers receive a text asking them to rate th

Answer:

The answer to the question is A.

Explanation:

To start, we differentiate between fixed and variable elements:

Fixed costs:

Advertising costs $20,000

Office costs $12,000

Other expenses $10,000

Variable costs:

Delivery costs $25,000

Commission costs $75,000

Other variable costs $20,000

Total amount $120,000

Next, we find the ratio of variable costs to total sales:

Total selling expense ratio = 120,000/2,500,000 = 0.048

For each of the variable costs:

Delivery costs = 25,000/120,000 = 0.20

Commission costs = 75,000/120,000 = 0.63

Other variable costs = 20,000/120,000 = 0.17

Lastly, for sales amounting to $3,400,000:

Total variable cost = 3,400,000 * 0.048 = $163,200

Commissions = 0.63 * 163,200 = $102,816

The opportunity cost amounts to $532,000. This represents the cost of the most preferable alternative that was not selected. In this case, rejecting the investment project meant foregoing the potential return of $532,000.

Answer:

• As explained below, with the individual’s score in the 0.03125 fraction of top candidates, they can anticipate securing a position.

Explanation:

Utilizing Chebyshev’s Theorem is key.

This theorem is valid for any dataset, irrespective of its shape.

Chebyshev's Theorem states that at least 1−1/k² of the data falls within k standard deviations from the mean.

For this data set, the specifics are:

• mean: 60
• standard deviation: 6
• score: 84

The number of standard deviations that 84 is from the mean can be calculated as:

• k = (score - mean) / standard deviation
• k = (84 - 60) / 6 = 24 / 6 = 4

Hence, the individual’s score is 4 standard deviations above the mean.

How significant is this?

According to Chebyshev’s Theorem, at least 1−1/k² of the data is within k standard deviations from the mean. Setting k = 4 gives us:

• 1 - 1/4² = 1 - 1/16 = 0.9375

• This implies that half of 1 - 0.9375 exceed k = 4: 0.03125

• Consequently, 1 - 0.03125 is below k = 4: 0.96875

With 70 job openings and 1,000 applicants, the ratio is 70/1,000 = 0.07, indicating the company seeks the top 0.07 of applicants.

Given the individual scores in the top 0.03125 of applicants, they can expect to obtain a job.

Answer: One potential action is to contact the credit card company to inquire if the payment can be made over the phone.

Explanation:

Other alternatives for settling a credit card bill without mailing include online payments. You'll need to create an online account, which typically requires your account number and some identification details. After registering, you can select the pay now feature to use your debit card or an online checking option for payment. It will process swiftly, though it may take a day to reflect in your account.

Most credit card companies offer an automated service allowing customers to make payments during the call. You'll require your card number, social security number, and debit card details for this transaction. While these payments are commonly free, it may vary based on the specific credit card provider.

Response:

the choice is D

.

Reasoning:

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