Question

a professional organizer charges 25$ for a consultation and $50 for a room makeover. A consultation takes on average 30 minutes, while a makeover takes 2 hours. The organizer works up to 6 hours in a dat, and she needs to make a minimum of 200$ a day to pay for her expenses

Answer 1

Explanation:

A professional organizer needs to earn a minimum of $200 a day. They charge $25 for a consultation (lasting 30 minutes) and $50 for a room makeover (taking 2 hours). The organizer works up to 6 hours a day. To meet their earnings target and time constraint, the number of consultations (C) and room makeovers (M) must satisfy the inequalities:

1. 25C + 50M ≥ 200
2. C + 4M ≤ 12

The solution region on a graph is where these inequalities overlap. The organizer needs to find combinations of consultations and room makeovers within this region to meet both income and time constraints.