In: Accounting
Holton Company makes three products in a single facility. Data concerning these products follow:
Product | ||||||
A | B | C | ||||
Selling price per unit | $ | 90.30 | $ | 77.40 | $ | 139.30 |
Direct materials | $ | 39.40 | $ | 43.20 | $ | 83.80 |
Direct labor | $ | 28.40 | $ | 13.80 | $ | 21.50 |
Variable manufacturing overhead | $ | 5.50 | $ | 4.60 | $ | 10.00 |
Variable selling cost per unit | $ | 7.70 | $ | 3.30 | $ | 6.10 |
Mixing minutes per unit | 13.70 | 2.00 | 2.00 | |||
Monthly demand in units | 3,000 | 1,000 | 2,000 | |||
The mixing machines are potentially the constraint in the production facility. A total of 14,000 minutes are available per month on these machines.
Direct labor is a variable cost in this company.
Required:
a. How many minutes of mixing machine time would be required to satisfy demand for all three products?
b. How much of each product should be produced to maximize net operating income?
c. Up to how much should the company be willing to pay for one additional hour of mixing machine time if the company has made the best use of the existing mixing machine capacity?
a) | Demand on mixing machine | |||||||
Product | ||||||||
A | B | C | ||||||
Mixing minutes per unit | 13.7 | 2 | 2 | |||||
monthly demand in units | 3,000 | 1,000 | 2,000 | |||||
total minutes required | 41100 | 2000 | 4000 | |||||
(please make sure that for product A the mixing minutes per unit is | ||||||||
13.70 , seems to be too high ,hope you typed the correct figure) | ||||||||
b) | Optimal production plan | |||||||
Product | ||||||||
A | B | C | ||||||
Selling price per unit | 90.3 | 77.4 | 139.3 | |||||
Direct materials | 39.4 | 43.2 | 83.8 | |||||
Direct labor | 28.4 | 13.8 | 21.5 | |||||
Variable manufacturing overhead | 5.5 | 4.6 | 10 | |||||
variable selling cost per unit | 7.7 | 3.3 | 6.1 | |||||
total variable cost per unit | 81.00 | 64.90 | 121.40 | |||||
contribution margin per unit | 9.30 | 12.50 | 17.90 | |||||
mixing minutes per unit | 13.7 | 2 | 2 | |||||
contribution margin per minute | 0.678832 | 6.25 | 8.95 | |||||
Rank in terms of profitability | 3 | 2 | 1 | |||||
optimal production | 584 | 1000 | 2000 | |||||
c) | the company should be willing to pay upto the contribution margin per minute | |||||||
for the job which is $.678832 | ||||||||