Question

precision industries is evaluating neatnook janitorial service to clean their offices. there are three pricing plans for cleanings:

• no plan with a high price per cleaning
• basic plan with a low subscription fee and a moderate price per cleaning
• premium plan with a high subscription fee and a low price per cleaning

the following graphs show lines for the costs of the different plans on the same graph (numbers on the axes are not shown).

question 1: in the following graph, match the 3 lines to their plans.

graph with cost (y-axis) and number of cleanings (x-axis), with three lines: dotted red, dashed blue, solid green

dotted red line:
dashed blue line:
solid green line:

question 2: if precision industries needs to have a cleanings, what is the least expensive plan?

graph with cost (y-axis) and number of cleanings (x-axis), with three lines: dotted red, dashed blue, solid green, and a vertical line at a cleanings

Explanation:

Step1: Analyze fixed vs variable cost

Each plan's cost follows $C = F + vx$, where $F$ = fixed (subscription) fee, $v$ = price per cleaning, $x$ = number of cleanings.

Step2: Match dotted line to plan

Dotted line has constant cost ($v=0$, high $F$): matches Premium plan.

Step3: Match dashed line to plan

Dashed line has $F=0$, steep slope (high $v$): matches No plan.

Step4: Match solid line to plan

Solid line has low $F$, moderate slope (moderate $v$): matches Basic plan.

Step5: Evaluate cost at $x=4$

At 4 cleanings, dotted (Premium) line is lowest.

Answer:

Question 1:

• Dotted red line: Premium plan with a high subscription fee and a low price per cleaning
• Dashed blue line: No plan with a high price per cleaning
• Solid green line: Basic plan with a low subscription fee and a moderate price per cleaning

Question 2:
Premium plan with a high subscription fee and a low price per cleaning