Final answer:
The sales growth rates for Coca-Cola in Germany between 1934-1936, 1936-1939, and 1934-1939 are 311.52%, 350.00%, and 1751.85%, respectively. The hypothetical sales in 1945 and the projected sales in 2053 for Eastern Europe can be calculated using compound growth formulas, using the present values and applying the respective annual growth rates over the given number of years.
Step-by-step explanation:
To calculate the sales growth rate for Coca-Cola in Germany for the specified years, we can use the following formula: Growth Rate = ((Ending Value / Beginning Value) - 1) * 100%. Let's apply this formula to the given time periods.
1934-1936 Growth Rate:
Growth Rate = ((1,000,000 cases / 243,000 cases) - 1) * 100% = ((4.115226337 - 1) * 100%) = 311.52%
1936-1939 Growth Rate:
Growth Rate = ((4,500,000 cases / 1,000,000 cases) - 1) * 100% = ((4.5 - 1) * 100%) = 350.00%
1934-1939 Growth Rate:
To calculate this, we will use the sales volume in 1934 and 1939 directly: Growth Rate = ((4,500,000 cases / 243,000 cases) - 1) * 100% = ((18.51851852 - 1) * 100%) = 1751.85%
For Coca Cola's hypothetical sales in 1945, had growth continued at the same rate as 1934-1939, we need to calculate the annual growth rate from the overall growth rate and then apply it to the sales in 1939 till 1945.
Assuming compound growth, the annual growth rate (r) can be calculated from the overall growth rate (G) over the number of years (t) using the formula G = (1 + r)t. In this case, G = 1751.85% or 18.5185 in decimal form, t = 5 years from 1934 to 1939. We need to solve for r, which will give us the annual growth rate.
Once we have r, we can compute the hypothetical sales in 1945 using the formula Future Value = Present Value * (1 + r)t, where the Present Value is the sales in 1939 (4,500,000 cases), and t is the number of years from 1939 to 1945, which is 6 years.
To approximate Coca-Cola's hypothetical sales in 2053 in Eastern Europe if worldwide growth continued at the German growth rate of 10.26%, we can use the formula:
Future Sales = Current Sales * (1 + growth rate)number of years
First, calculate the current sales in Eastern Europe, which is 20% of 26.7 billion cases, and then apply the growth rate over 42 years.