In: Accounting
Colt Company owns a machine that can produce two specialized
products. Production time for Product TLX is two units per hour and
for Product MTV is five units per hour. The machine’s capacity is
2,300 hours per year. Both products are sold to a single customer
who has agreed to buy all of the company’s output up to a maximum
of 3,910 units of Product TLX and 2,085 units of Product MTV.
Selling prices and variable costs per unit to produce the products
follow.
$ per unit | Product TLX | Product MTV | ||||||
Selling price per unit | $ | 13.50 | $ | 8.10 | ||||
Variable costs per unit | 4.05 | 4.86 | ||||||
Determine the company's most profitable sales mix and the
contribution margin that results from that sales mix.
(Round per unit contribution margins to 2 decimal
places.)
|
Answer:
Product TLX | Product MTV | ||
Contribution margin per unit | $ 9.45 | $ 3.24 | |
Contribution margin per production hour | $ 4.73 | $ 0.65 | |
Product TLX | Product MTV | Total | |
Maximum number of units to be sold | 3,910 | 2,085 | |
Hours required to produce maximum units | 7,820.00 | 10,425.00 | 18,245.00 |
For Most Profitable Sales Mix | Product TLX | Product MTV | Total |
Hours dedicated to the production of each product | 2,300.00 | - | 2,300.00 |
Units produced for most profitable sales mix | 1,150.00 | - | 1,150.00 |
Contribution margin per unit | $ 9.45 | $ - | |
Total contribution margin | $ 10,867.50 | $ - | $ 10,867.50 |
Note:
Product TLX | Product MTV | |
Selling price | $ 13.50 | $ 8.10 |
Variable Cost | $ 4.05 | $ 4.86 |
Contribution per unit | $ 9.45 | $ 3.24 |
Number of hours per unit | 2.00 | 5.00 |
Contribution per hour | $ 4.73 | $ 0.65 |
In case of any doubt, please comment.