Fred and Carrie's Research Report
Washing Machine and Formula Information
Fred and Carrie
are thinking of purchasing washing machines that have a 20-pound capacity, meaning that each machine can hold 20 pounds or less. The inequalities below demonstrate the number of machines needed, based on the number of pounds of laundry a customer brings in (n.)
M= number of washing machines needed
n= number of pounds of laundry
1 if 0 < n ≤ 20
2 if 20 < n ≤ 40
M = 3 if 40 < n ≤ 60
4 if 60 < n ≤ 80
5 if 80 < n ≤ 100
Fred and Carrie expect each load of laundry to cost them $0.97.
Formula for cost per load (c) = .97*M
Fred and Carrie plan to charge customers $12.00 per load.
Formula for sales (s) = $12*M
Profit is calculated by subtracting all costs from sales.
Formula for profit per customer (P) = s-c
Estimation and Reasonableness
This section focuses on estimation and reasonableness. Use estimation and rounding for each of the questions in this section (numbers 1, 2 and 3).
Fred and Carrie have two goals:
● Sell $2,500 or more per week.
● Spend $250 or less per week.
1. Are their goals reasonable? Why or why not? Be sure to show your work.
Yes, these goals are both reasonable
The first goal to sell $2,500 or more per week.
Goal 1. (P) = s-c, P = $12 - $1 = $11 (the .97 is rounded up to 1)
$2,500/$11 = 230 loads per week, (the 226 .65 is rounded up to 230)
230 * $11 = $2,530 is more than the goal of $2,500
The second goal is to Spend $250 or less per week
Goal 2. So, 230 loads per week with a cost of $1 for every load
$1. * 230 = $230.per week. This is less than $250
For my answers to the first goal, I thinking I should have used another formula. maybe P-c = S
Should I round my answer of 226.65 up to the nearest cent? Would that be 226.70?