Determining the Optimal Product Mix with One Constrained Resource and a Sales Constraint 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 a maximum of 52,030 units of each sweatshirt can be sold.
Required: If required, round your answers to the nearest whole number.
1. What is the contribution margin per hour of machine time for each type of sweatshirt?
Contribution Margin:
Swoop $
Rufus $
2. What is the optimal mix of sweatshirt?
Optimal Mix:
Swoop units
Rufus units
3. What is the total contribution margin earned for the optimal mix? $
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