Answer to Question 1
C
Answer to Question 2
Peoria Moline
Selling price 150.00 150.00
Variable cost per unit
Manufacturing 72.00 88.00
Marketing and distribution 14.00 86.00 14.00 102.00
Contribution margin per unit (CMU) 64.00 48.00
Fixed costs per unit
Manufacturing 30.00 15.00
Marketing and distribution 19.00 49.00 14.50 29.50
Operating income per unit 15.00 18.50
CMU of normal production (as shown above) 64 48
CMU of overtime production
(64 3; 48 8) 61 40
1.
Annual fixed costs = Fixed cost per unit Daily production rate Normal annual capacity
(49 400 units 240 days;
29.50 320 units 240 days)
4,704,000 2,265,600
Breakeven volume = FC CMU of normal production (4,704,000 64; 2,265,600 48)
73,500 units 47,200 units
2.
Units produced and sold 96,000 96,000
Normal annual volume (units)
(400 240; 320 240) 96,000 76,800
Units over normal volume (needing overtime) 0 19,200
CM from normal production units (normal annual volume CMU normal production)
(96,000 64; 76,800 48) 6,144,000 3,686,400
CM from overtime production units
(0; 19,200 40)
0 768,000
Total contribution margin 6,144,000 4,454,400
Total fixed costs 4,704,000 2,265,600
Operating income 1,440,000
2,188,800
Total operating income 3,628,800
3. The optimal production plan is to produce 120,000 units at the Peoria plant and 72,000 units at the Moline plant. The full capacity of the Peoria plant, 120,000 units (400 units 300 days), should be used because the contribution from these units is higher at all levels of production than is the contribution from units produced at the Moline plant.
Contribution margin per plant:
Peoria, 96,000 64 6,144,000
Peoria 24,000 (64 3) 1,464,000
Moline, 72,000 48 3,456,000
Total contribution margin 11,064,000
Deduct total fixed costs 6,969,600
Operating income 4,094,400
The contribution margin is higher when 120,000 units are produced at the Peoria plant and 72,000 units at the Moline plant. As a result, operating income will also be higher in this case because total fixed costs for the division remain unchanged regardless of the quantity produced at each plant.