Write a report detailing the following:
An equation or inequality to represent each plan above.
Determine for how many minutes each plan is the best option for two customers. Customer Smith uses roughly 750 minutes per month. Customer Jones uses roughly 1350 minutes per month. Which plan should they choose and why?
Include a detailed explanation of your work, which scenario is better, and why.
Write a summary paragraph for your employees that will be answering and making phone calls.
Report:
Title: Choosing the Best Cell Phone Plan
Introduction:
In this report, we will analyze and compare two cell phone plans: Plan A and Plan B. We will determine the best plan based on the number of minutes used by two customers - Smith and Jones. We will provide an equation or inequality to represent each plan, calculate the cost for each customer, and then offer a recommendation.
1. Equation or Inequality for each plan:
Let's define the variables:
- Plan A: $30 per month with 500 minutes included, $0.15 per additional minute
- Plan B: $45 per month with unlimited minutes
To represent Plan A, we can use an inequality:
Cost of Plan A ≥ $30 + 0.15 * (x - 500), where x represents the number of minutes used.
To represent Plan B, we have a fixed cost:
Cost of Plan B = $45.
2. Determining the best plan for Smith and Jones:
- Smith uses approximately 750 minutes per month. Let's calculate the cost for each plan using the equation for Plan A:
Cost of Plan A = $30 + 0.15 * (750 - 500) = $30 + 0.15 * 250 = $67.50
- Jones uses approximately 1350 minutes per month. For Plan A:
Cost of Plan A = $30 + 0.15 * (1350 - 500) = $30 + 0.15 * 850 = $157.50
From these calculations, it is clear that for both Smith and Jones, Plan B is the best option since its fixed cost of $45 is lower than the costs associated with Plan A.
3. Explanation & Recommendation:
Based on the analyses, Plan B is the better option for both Smith and Jones. Plan A becomes more expensive when the number of minutes exceeds the 500-minute limit and incurs an additional charge of $0.15 per minute. Plan B, on the other hand, offers unlimited minutes for a fixed monthly cost of $45, ensuring a consistent and predictable expense.
Summary paragraph for employees:
When answering and making phone calls, it is essential to consider the varying needs of our customers. After careful evaluation, we have determined that Plan B, with its unlimited minutes for $45 per month, is the best option for our customers. This plan provides a cost-effective solution, saving customers from potentially high overage charges and ensuring a predictable monthly bill. We recommend offering Plan B to customers who use a significant amount of minutes per month or prefer the peace of mind of unlimited talk time.