Final answer:
The profit on each bottle is $0.40, the profit on a case is $12.80, a formula to calculate profit for n cases is provided, and a method to determine the number of cases needed to make at least $120 is explained.
Step-by-step explanation:
a. To calculate the profit on each bottle of water, subtract the cost of each bottle from the selling price. In this case, the profit per bottle is $0.50 - $0.10 = $0.40.
b. To calculate the profit on a case of water, multiply the profit per bottle by the number of bottles in a case. In this case, the profit per case is $0.40 * 32 = $12.80.
c. A formula to calculate the profit for n cases of water would be: Profit = (Selling Price - Cost Price) * Number of Bottles per Case * Number of Cases.
d. To find out how many cases need to be bought to make a profit of at least $120, you can set up an equation: (Selling Price - Cost Price) * Number of Bottles per Case * Number of Cases = $120. Rearrange the equation to solve for Number of Cases.