Answered

Tony is the best pizza deliveryman in the city. He has been offered jobs by all the best pizza places.

Bombinoes' Pizza:
- Offering [tex]$56 per shift and $[/tex]2.50 in commission for each pizza delivered.

Little Squeezer's:
- Showed Tony a table of salaries:

\begin{tabular}{|c|c|c|c|c|}
\hline
Pizzas & 0 & 2 & 4 & 10 \\
\hline
Salary & 48 & 54 & 60 & 78 \\
\hline
\end{tabular}

Pizza Tent:
- Given pay options in the following function: [tex]\( S = 2.75p + 52 \)[/tex]
- Where [tex]\( S \)[/tex] represents Tony's salary, and [tex]\( p \)[/tex] represents the number of pizzas he delivers.

Papa Ron's:
- Made their offer in the form of this graph (graph not provided).

Questions:
1. Which company pays the best per shift?
2. Which company pays the most per pizza?
3. Challenge: If Tony is going to deliver at least 20 pizzas every night, which company should he work for?



Answer :

GinnyAnswer
To determine which company offers the best overall compensation, let's examine the various parameters given for each.

### Comparing Base Pay Per Shift

1. Bombinoes' Pizza:
- Base pay per shift: \[tex]$56 2. Little Squeezer's: - Base pay per shift: \$[/tex]48 (when 0 pizzas are delivered)

3. Pizza Tent:
- Given by the equation [tex]\( S = 2.75p + 52 \)[/tex]
- Base pay per shift: \[tex]$52 (when \( p = 0 \)) ### Comparing Per Pizza Commission 1. Bombinoes' Pizza: - Commission per pizza: \$[/tex]2.50

2. Little Squeezer's:
- We need to determine the pay per pizza by looking at the salary increment as the number of delivered pizzas increases.
- Pay for 0 pizzas: \[tex]$48 - Pay for 2 pizzas: \$[/tex]54
- Pay for 4 pizzas: \[tex]$60 - Pay for 10 pizzas: \$[/tex]78
- We can see that salary increases by \[tex]$6 for every 2 pizzas. Thus, the per pizza increment is \(\frac{6}{2} = \$[/tex]3\)
- Another verification:
- From 0 to 10 pizzas:
- The salary increases by [tex]\(78 - 48 = 30 \)[/tex]
- Hence per pizza increment would be [tex]\(\frac{30}{10} = 3\)[/tex]
- Commission per pizza: \[tex]$3 3. Pizza Tent: - The pay per pizza is directly given in the equation as the coefficient of \( p \), which is 2.75. - Commission per pizza: \$[/tex]2.75

### Determining the Best Company for 20 Pizzas Delivered

1. Bombinoes' Pizza:
- Total pay for 20 pizzas:
- Base pay: \[tex]$56 - Commission for 20 pizzas: \( 20 \times 2.50 = 50 \) - Total pay: \( 56 + 50 = \$[/tex]106 \)

2. Little Squeezer's:
- We might think that it scales linearly but according to the table, we can see it mentions salaries only for up to 10.
- There is insufficient information to determine beyond the modeled value.


3. Pizza Tent:
- Using the equation [tex]\( S = 2.75p + 52 \)[/tex]
- Total pay for 20 pizzas: [tex]\( 2.75 \times 20 + 52 = 55 + 52 = \$107 \)[/tex]

### Conclusion:

- Best Base Pay Per Shift:
- Bombinoes' Pizza offers the highest base pay per shift at \[tex]$56. - Best Per Pizza Commission: - Little Squeezer's offers the highest per pizza commission at \$[/tex]3 per pizza.

- Best for Delivering 20 Pizzas:
- Pizza Tent offers the highest total pay for 20 pizzas at \$107.

Other Questions