Final answer:
To prepare a contribution format income statement, calculate the costs and expenses, then subtract them from the sales to calculate the net operating income. To calculate the simple rate of return, divide the net annual operating income by the initial investment. If Mr. Swanson requires a simple rate of return of at least 21%, he should acquire the franchise if the calculated simple rate of return is higher. To calculate the payback period, divide the initial investment by the net annual cash inflow. If Mr. Swanson wants a payback period of three years or less, he should acquire the franchise if the payback period is less than three years.
Step-by-step explanation:
To prepare a contribution format income statement, we will first need to calculate the various costs and expenses associated with the franchise. Here are the calculations and the resulting income statement:
1. Contribution Format Income Statement:
Sales: $480,000
Ingredients (20% of sales): $96,000
Salaries: $88,000
Insurance: $5,300
Utilities: $45,000
Commission to The Yogurt Place, Inc. (13% of sales): $62,400
Total costs and expenses: $296,700
Net operating income: $480,000 - $96,000 - $88,000 - $5,300 - $45,000 - $62,400 = $183,300
2-a. Simple Rate of Return:
To calculate the simple rate of return, we will use the formula:
Net Annual Operating Income / Initial Investment
Net Annual Operating Income: $183,300
Initial Investment: $378,000
Simple Rate of Return: $183,300 / $378,000 = 48.5%
2-b. Decision:
If Mr. Swanson requires a simple rate of return of at least 21%, he should compare it to the calculated simple rate of return. Since the calculated simple rate of return is 48.5%, which is greater than 21%, Mr. Swanson should acquire the franchise.
3-a. Payback Period:
To find the payback period, we will calculate the time it takes to recoup the initial investment:
Payback Period = Initial Investment / Net Annual Cash Inflow
Initial Investment: $378,000
Net Annual Cash Inflow: Net Annual Operating Income = $183,300
Payback Period: $378,000 / $183,300 = 2.06 years
3-b. Decision:
If Mr. Swanson wants a payback period of three years or less, we can see that the payback period is 2.06 years, which is less than three years. Therefore, he should acquire the franchise.