Question

Outdoor luggage inc. makes high-end hard-sided luggage for sports equipment. data concerning three of the company's most popular models appear below. ski guard golf guard fishing guard selling price per unit $ 200 $ 300 $ 255 variable cost per unit $ 60 $ 140 $ 55 plastic injection molding machine processing time required to produce one unit 2 minutes 5 minutes 4 minutes pounds of plastic pellets per unit 7 pounds 4 pounds 8 pounds required: 1-a. the total time available on the plastic injection molding machine is the constraint in the production process. what is the contribution margin per unit of the constrained resources for ski guard, golf guard and fishing guard

Answer 1

1-a. The total time available on the plastic injection molding machine is the constraint in the production process. What is the contribution margin per unit of the constrained resources for Ski Guard, Golf Guard and Fishing Guard?

Answer:

We need to need to find the contribution margin for each product.

$Contribution Margin per unit = Selling Price per unit - Variable cost per unit$

Then we need to find contribution margin per unit of constrained resources with the following formula:

$Contribution Margin per unit of constrained resource = \frac{Contribution margin per unit}{Resource needed per unit of product}$

Constraint: Time available on plastic injection moulding machine

Ski Guard Golf guard Fishing guard

Selling Price per unit 200 300 255

Less: Variable Cost 60 140 55

Contribution Margin 140 160 200

Processing time per unit (minutes) 2 5 4

Contribution Margin unit of constraint 70 (140/2) 32 (160/5) 50

1-b. Which product would be the most profitable use of this constraint?

Manufacturing the Ski Guard would be the most profitable use of this constraint since it has the maximum contribution margin per unit of constraint, ($70 per unit).

1-c. Which product would be the least profitable use of this constraint?

The Golf Guard would be the least profitable use of this constraint since it has the least contribution margin per unit of constraint, at $32 per unit.

2a. A severe shortage of plastic pellets has required the company to cut back its production so much that the plastic injection molding machine is no longer the bottleneck. Instead, the constraint is the total available pounds of plastic pellets. What is contribution margin per unit of the constrained resources for Ski Guard, Golf Guard and Fishing Guard?

We need to need to find the contribution margin for each product.

$Contribution Margin per unit = Selling Price per unit - Variable cost per unit$

Then we need to find contribution margin per unit of constrained resources with the following formula:

$Contribution Margin per unit of constrained resource = \frac{Contribution margin per unit}{Resource needed per unit of product}$

Constraint: Pounds of plastic pellets

Ski Guard Golf guard Fishing guard

Selling Price per unit 200 300 255

Less: Variable Cost 60 140 55

Contribution Margin 140 160 200

Plastic pellets per unit (pounds) 7 4 8

Contribution Margin per pound 20 (140/7) 40 (160/4) 25 (200/8)

2-b. Which product would be the most profitable use of this constraint?

The Golf Guard would be the most profitable use of this constraint since it has the maximum contribution margin per unit of constraint, ($40 per unit).

2-c. Which product would be the least profitable use of this constraint?

The SkiGuard, with a contribution margin of $20 per pound of plastic would be the least profitable use of this constraint.

3. Which product has the largest unit contribution margin?

Answer : The fishing guard has the largest per unit contribution margin at $200.