Question

In: Accounting

Consider the following production and cost data for two products, Avery and Jack: Product Avery Contribution...

Consider the following production and cost data for two products, Avery and Jack:

Product Avery

Contribution margin per unit $98

Machine minutes needed per unit 7.5 minutes

Current demand for product 3,000 minutes

Product Jack

Contribution margin per unit $124

Machine minutes needed per unit 10 minutes

Current demand for product 3,000 units

A total of 37,500 machine minutes are available each period. What is the largest possible total contribution margin that can be realized each period?

Solutions

Expert Solution

Limited factor = 37,500 machine minutes

.

Avery

Jack

Contribution margin per unit

$98

$124

Machine minutes needed per unit

7.5 mints

10 mints

Contribution margin per Machine mints

98/7.5

= 13.07

124/10

= 12.4

Current demand for product

3,000

3,000

Highest contribution margin per machine mints from Product Avery, so first preference to this product and produce maximum of 3000 units

Machine mints used by Product Avery to produce 3000 units = 3000 * 7.5 = 22500 mints

Remaining mints are used for product jack

Available mints = 37500 - 22500 = 15000 mints

Using 15000 mints, Product Jack can produce = 15000 / 10 = 1500 units

So, here largest possible total contribution margin that can be realized each period is:

Producing 3000 units of product Avery and 1500 units of Product Jack by realizing contribution margin

.

Avery

Jack

Units

3000

1500

contribution margin per units

98

124

Total contribution margin from each

$294000

$186000

Maximum contribution margin total = $294000 + $186000 = $480000


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