Math Problem Statement

Sally has now, with your help, gathered all the information she needs to forecast the success of the pancake venture. One question still remains unanswered. How many pancakes must she bake and sell on a Saturday in order to break even and how many pancakes must she bake and sell on a Saturday to reach her goal of raising R1 000 per week for her favourite charity? For us to answer these two questions we need to compare her total cost and total income for any number of pancakes baked and sold. This comparison is best done in a graph where the total costs are represented as a line graph and on the same set of axis the total income is represented as a line graph as well. When having to plot straight line graphs we often make use of value tables to assist us in determining the co-ordinates of the various points on the line. We also need a value table in this costing exercise. 2.1 Our first step is to write a formula for the Total Cost of the pancakes that can be used to determine the total cost of any number of pancakes (P). Use the following format to write a formula to determine the total cost of any number of pancakes. Total Cost (R) = Fixed cost + Variable cost per pancake x (P the number of pancakes) (3) 2.2 Secondly, we will write a formula to determine the total Income from any number of pancakes (P) sold. Use the following format to write a formula to determine the total income from any number of pancakes. Total Income (R) = Income per pancake x (P the number of pancakes) (2) 2.3 A value table showing the relationship between Costs and Income for the pancakes is on ANSWER SHEET B. Use the formulas you wrote in 2.1 and 2.2 to calculate the value of: A, B and C. Show all your calculations and answers. 2.3.1 A (2) 2.3.2 B (2) 2.3.3 C (2)

Solution

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Math Problem Analysis

Mathematical Concepts

Cost Analysis
Income Calculation
Graphical Representation

Formulas

Total Cost (R) = Fixed Cost + (Variable Cost per Pancake * P)
Total Income (R) = Income per Pancake * P

Theorems

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Suitable Grade Level

Grades 9-12