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- A call-out fee of R450 with the first hour free.
- Thereafter, R400 for each additional hour or part thereof.

Company 2: Laws Plumbing Company
- No call-out fee
- R550 per hour or part thereof.

TABLE 3 below shows the number of hours and total cost of plumbing for the two companies.

TABLE 3: NUMBER OF HOURS AND TOTAL COST FOR PLUMBING

\begin{tabular}{|l|l|l|c|c|c|c|}
\hline
Plumbing time (hours) & 0 & [tex]$1$[/tex] & [tex]$2$[/tex] & [tex]$3$[/tex] & [tex]$5$[/tex] & [tex]$H$[/tex] \\
\hline
Handyman-SA cost (R) & 0 & 450 & 850 & [tex]$G$[/tex] & 2050 & 3250 \\
\hline
Laws Plumbing cost (R) & 0 & 550 & 1100 & 1650 & 2750 & 4400 \\
\hline
\end{tabular}

[Source: www.handyman-sa.com and lawsplumbing.co.za]

NOTE: A call-out fee is a basic amount charged by plumbers in order to attend to the location where the job must be done.

Sagot :

GinnyAnsweridn
Certainly! Let's analyze and calculate the costs for both companies step by step.

### Handyman-SA:
1. 0 Hours:
- Total cost: [tex]\( R0 \)[/tex] (no work done, no charges)

2. 1 Hour:
- The first hour is free with the call-out fee.
- Total cost: [tex]\( R450 \)[/tex] (only the call-out fee)

3. 2 Hours:
- Call-out fee: [tex]\( R450 \)[/tex]
- Additional hour: [tex]\( R400 \)[/tex] (for the second hour)
- Total cost: [tex]\( R450 + R400 = R850 \)[/tex]

4. 3 Hours:
- Call-out fee: [tex]\( R450 \)[/tex]
- Additional hours: [tex]\( R400 \)[/tex] for each of the additional 2 hours after the first hour
- Total cost: [tex]\( R450 + 2 \times R400 = R450 + R800 = R1250 \)[/tex]

5. 5 Hours:
- Call-out fee: [tex]\( R450 \)[/tex]
- Additional hours: [tex]\( R400 \)[/tex] for each of the additional 4 hours after the first hour
- Total cost: [tex]\( R450 + 4 \times R400 = R450 + R1600 = R2050 \)[/tex]

6. [tex]\( H \)[/tex] Hours (General Formula):
- For [tex]\( H \)[/tex] hours where [tex]\( H > 0 \)[/tex]:
- Call-out fee: [tex]\( R450 \)[/tex]
- Additional hours: [tex]\( R400 \)[/tex] for each of the additional [tex]\( H-1 \)[/tex] hours after the first hour
- Total cost: [tex]\( R450 + (H-1) \times R400 \)[/tex]

### Laws Plumbing:
1. 0 Hours:
- Total cost: [tex]\( R0 \)[/tex] (no work done, no charges)

2. 1 Hour:
- [tex]\( R550 \)[/tex] per hour
- Total cost: [tex]\( R550 \)[/tex]

3. 2 Hours:
- [tex]\( R550 \)[/tex] per hour
- Total cost: [tex]\( 2 \times R550 = R1100 \)[/tex]

4. 3 Hours:
- [tex]\( R550 \)[/tex] per hour
- Total cost: [tex]\( 3 \times R550 = R1650 \)[/tex]

5. 5 Hours:
- [tex]\( R550 \)[/tex] per hour
- Total cost: [tex]\( 5 \times R550 = R2750 \)[/tex]

6. [tex]\( H \)[/tex] Hours (General Formula):
- For [tex]\( H \)[/tex] hours:
- [tex]\( R550 \)[/tex] per hour
- Total cost: [tex]\( H \times R550 \)[/tex]

### Summary in Table 3:
\begin{tabular}{|l|l|l|c|c|c|c|}
\hline Plumbing time (hours) & 0 & 1 & 2 & 3 & 5 & [tex]\( H \)[/tex] \\
\hline Handyman-SA cost (R) & 0 & 450 & 850 & 1250 & 2050 & [tex]\( 450 + (H-1) \times 400 \)[/tex] \\
\hline Laws Plumbing cost (R) & 0 & 550 & 1100 & 1650 & 2750 & [tex]\( H \times 550 \)[/tex] \\
\hline
\end{tabular}

I hope this helps clarify how the costs are calculated for both companies over different durations of time!
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