Accounting for Decision Making and Control 6th Edition by Jerold Zimmerman

Exercise 31

Silky Smooth lotions come in three sizes: 4, 8, and 12 ounces. The following table summarizes the selling prices and variable costs per case of each lotion size.

Fixed costs are $771,000. Current production and sales are 2,000 cases of 4-ounce bottles; 4,000 cases of 8-ounce bottles; and 1,000 cases of 12-ounce bottles. Silky Smooth typically sells the three lotion sizes in fixed proportions as represented by the preceding sales amounts.
Required:
How many cases of 4-, 8-, and 12-ounce lotion bottles must be produced and sold for Silky Smooth to break even, assuming that the three sizes are sold in fixed proportions