Determining the Optimal Product Mix with One Constrained Resource Comfy Fit Comp

Question

Determining the Optimal Product Mix with One Constrained Resource

Comfy Fit Company manufactures two types of university sweatshirts, the Swoop and the Rufus, with unit contribution margins of $5 and $15, respectively. Regardless of type, each sweatshirt must be fed through a stitching machine to affix the appropriate university logo. The firm leases seven machines that each provides 1,000 hours of machine time per year. Each Swoop sweatshirt requires 6 minutes of machine time, and each Rufus sweatshirt requires 30 minutes of machine time.

Assume that there are no other constraints.

Required:

If required, round your answers to the nearest whole number. If an amount is zero, enter "0".

1. What is the contribution margin per hour of machine time for each type of sweatshirt?

2. What is the optimal mix of sweatshirt?

3. What is the total contribution margin earned for the optimal mix?
$

Contribution Margin Swoop $ Rufus $

Explanation / Answer

1.

Details Swoop Rufus Unit contribution margins                                                      1 $                                                                 5.00 $ 15.00 Machine minutes required                                                      2 6 30 Unit contribution margins per machine minute          1/2 $                                                            0.8333 $     0.50 Maximum machine time available 1,000 hours each machine*7 Machines                                                  7,000

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.