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You are a pizza parlor manager, and you are planning to create three different sizes of each type of pizza your restaurant is serving. You want to create 12-in, 15-in, and 18-in diameters of pizza. Part of your job is to decide on the price of each size, maximizing the profit yet, the price should still be affordable and competitive. You will explain your ideas and computation to the owner of the restaurant. In your explanation, clearly show the relationship between the size and the diameter of the pizza)

a. Explain the relationship between size and price
b. Explain the relationship between diameter and price

1 Answer

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Final answer:

The price of pizzas at a parlor is influenced by both the cost of production including ingredients and overheads, and the desired profit margin. As the size and diameter of the pizza increase, so do the production costs and the price to maintain profitability while remaining competitive.

Step-by-step explanation:

Understanding Pricing Strategy for Different Pizza Sizes

When deciding on the price for different pizza sizes, a pizza parlor manager must consider both the cost of production and the desired profit margin. The cost includes ingredients like dough, sauce, cheese, and toppings, as well as overheads such as the pizza oven, shop rent, and wages. To these production costs, the manager adds a margin to ensure a competitive yet profitable price point.

Relationship Between Size and Price

The size of the pizza influences the cost of production because larger pizzas require more ingredients and potentially more labor. Thus, the price of the pizza will increase proportionally with the size to maintain a consistent profit margin across all sizes.

Relationship Between Diameter and Price

The diameter of the pizza is a physical measurement that relates to the overall size - it determines how much dough, sauce, and toppings are needed. As the diameter increases, the total area of the pizza increases exponentially, and so does the amount of ingredients needed, leading to a higher cost of production. The price must be set accordingly to cover these costs and achieve the desired profit margin

In summary, both size and diameter directly affect the production costs, and therefore, need to be carefully considered when setting the price of each pizza option. Using this strategy aims to maximize profits while keeping prices competitive and affordable for customers.

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