Determining the Optimal Product Mix with One Constrained Resource and a Sales Constraint Casual Essentials, Inc. manufactures two types of team shirts, the Homerun and the Goalpost, with unit contribution margins of $5 and $15, respectively. Regardless of type, each team shirts must be fed through a stitching machine to affix the appropriate team logo. The firm leases seven machines that each provides 1,000 hours of machine time per year. Each Homerun shirt requires 6 minutes of machine time, and each Goalpost shirt requires 30 minutes of machine time. Assume that a maximum of 50,890 units of each team shirts 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 team shirts? Contribution Margin Homerun $ Goalpost $ 2. What is the optimal mix of team shirts? Optimal Mix Homerun Goalpost 3. What is the total contribution margin earned for the optimal mix? $ units units

Cornerstones of Cost Management (Cornerstones Series)
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Chapter20: Inventory Management: Economic Order Quantity, Jit, And The Theory Of Constraints
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Determining the Optimal Product Mix with One Constrained Resource and a Sales Constraint
Casual Essentials, Inc. manufactures two types of team shirts, the Homerun and the Goalpost, with unit contribution margins of $5 and
$15, respectively. Regardless of type, each team shirts must be fed through a stitching machine to affix the appropriate team logo. The
firm leases seven machines that each provides 1,000 hours of machine time per year. Each Homerun shirt requires 6 minutes of
machine time, and each Goalpost shirt requires 30 minutes of machine time.
Assume that a maximum of 50,890 units of each team shirts 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 team shirts?
Contribution Margin
Homerun
$
Goalpost
$
2. What is the optimal mix of team shirts?
Optimal Mix
Homerun
units
Goalpost
3. What is the total contribution margin earned for the optimal mix?
$
units
Transcribed Image Text:Determining the Optimal Product Mix with One Constrained Resource and a Sales Constraint Casual Essentials, Inc. manufactures two types of team shirts, the Homerun and the Goalpost, with unit contribution margins of $5 and $15, respectively. Regardless of type, each team shirts must be fed through a stitching machine to affix the appropriate team logo. The firm leases seven machines that each provides 1,000 hours of machine time per year. Each Homerun shirt requires 6 minutes of machine time, and each Goalpost shirt requires 30 minutes of machine time. Assume that a maximum of 50,890 units of each team shirts 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 team shirts? Contribution Margin Homerun $ Goalpost $ 2. What is the optimal mix of team shirts? Optimal Mix Homerun units Goalpost 3. What is the total contribution margin earned for the optimal mix? $ units
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