Question

In order to maximize his wages while working for a maximum of 5 hours (300 minutes), Timothy should type how many letters and memos? A. 7 letters and 18 memos B. 8 letters and 19 memos C. 9 letters and 20 memos D. 10 letters and 21 memos

Answer 1

Timothy should choose option D, typing 10 letters and 21 memos, to maximize his wages while working for a maximum of 5 hours (300 minutes).

Step-by-step explanation:

To determine the optimal choice, we need to calculate the total number of letters and memos Timothy can type within the given time frame. Let L represent the number of letters and M represent the number of memos Timothy can type in one hour.

Given that Timothy works for 5 hours, the total time available is 5 hours 60 minutes/hour = 300 minutes.

Let's set up an equation to represent the total number of letters and memos he can type:

`\[Total\,Work\,=\,L * Letters\,Per\,Hour + M * Memos\,Per\,Hour\]`

Now, we need to consider the options:

Option A: (7L + 18M)

Option B: (8L + 19M)

Option C: (9L + 20M)

Option D: (10L + 21M)

Since we want to maximize Timothy's wages, we need to choose the option that gives the maximum value for the total work.

Comparing the coefficients of L and M, it is evident that Option D (10L + 21M) offers the highest total work, making it the optimal choice for maximizing Timothy's wages within the given time constraint.

Therefore, the final answer is Option D, typing 10 letters and 21 memos, to ensure Timothy maximizes his wages during the 5-hour work period.