Dog Food Inc. cans dog food in its factory in Brooklyn, NY. Dog Food utilizes temporary employees and runs up to three shifts. Variable costs for a case of dog food are $4 and a case sells for $10. The volume of cases of dog food manufactured varies based on the number of shifts that Dog Food run: one shift: 0-1000 cases; two shifts: 1,001 3,000 cases, and three shifts: 3,001 5,000 cases. Fixed costs are also based on the number of shifts: one shift $3,000; two shifts $5,700; three shifts $8,200

a. Calculate the break-even point in cases for each shift.

b. Assume Johnson Fish Company can sell all of the cases of Tuna that it produces. How many shifts should it run?