Final answer:
Option B, consisting of one raking job and two mulching jobs, will maximize the company's income at $110 per day for a crew, given the constraints of time and charges for each service.
Step-by-step explanation:
To determine the combination of raking leaves and mulching that maximizes the income for a crew of a landscaping company given the restrictions, we need to consider the time it takes for each job and the income generated for each.
The company schedules 2 hours for mulching jobs at $30 each and 4 hours for raking jobs at $50 each. With a maximum of 8 hours available per day, the following options are provided:
- A. Two raking jobs: 2 raking jobs × 4 hours/job = 8 hours, yielding 2 × $50 = $100.
- B. One raking job and two mulching jobs: 1 raking job × 4 hours + 2 mulching jobs × 2 hours/job = 8 hours, yielding $50 + 2 × $30 = $110.
- C. Four mulching jobs: Not possible since it would require 8 hours, which exceeds the 8-hour maximum.
- D. Three mulching jobs: 3 mulching jobs × 2 hours/job = 6 hours, yielding 3 × $30 = $90.
Comparing the earnings for each option, option B provides the highest income at $110 for the day, so 'One raking job and two mulching jobs' will maximize the income the company receives per day from one of its crews.