Production combination producing greatest profit


Problem: The HighTech Corporation manufactures sound systems for the retail market. It makes two product lines: super model and deluxe model. Annual cost and production information is summarized below:

Total budgeted fixed manufacturing costs:                        $100,000

Total budgeted fixed selling costs                                      $50,000

Hours of production capacity available each year                 20,000 hours

                                               Super Model               Deluxe Model

Unit Selling Price                           $600                           $1,200

Variable Costs per unit                    300                                600

Contribution margin per unit           $300                               $600     

The market will permit the firm to sell as much or as little of each model that the firm wishes to manufacture. It takes 10 hours to make a super model and it takes 24 hours to make a deluxe model.

REQUIRED:

What production combination will produce the greatest profit for the firm?  Justify your choice.

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