Production Strategy Better Fitness, Inc. (BFI) manufactures exercise equipment at its plant in Freeport, Long Island. It recently designed two universal weight machines for the home exercise market. Both machines use BFI- patented technology that provides the user with an extremely wide range of motion capability for each type of exercise performed.

Until now, such capabilities have been available only on expensive weight machines used primarily by physical therapists. At a recent trade show, demonstrations of the machines resulted in significant dealer interest. In fact, the number of orders that BFI received at the trade show far exceeded its manufacturing capabilities for the current production period. As a result, management decided to begin production of the two machines.

The two machines, which BFI named the Body Plus 100 and the Body Plus 200, require different amounts of resources to produce. The Body Plus 100 consists of a frame unit, a press station, and a paced station. Each frame produced uses 4 hours of machining and welding time and 2 hours of painting and finishing time.

Each press station requires 2 hours of machining and welding time and 1 hour of painting and finishing time, and each pec-dec station uses 2 hours of machining and welding time and 2 hours of painting and finishing time. In addition, 2 hours are spent assembling, testing, and packaging each Body Plus 100. The raw material costs are $ 450 for each frame, $ 300 for each press station, and $ 250 for each pec-dec station; packaging costs are estimated to be $ 50 per unit.

The Body Plus 200 consists of a frame unit, a press station, a pec-dec station, and a leg-press station. Each frame produced uses 5 hours of machining and welding time and 4 hours of painting and finishing time. Each press station requires 3 hours machining and welding time and 2 hours of painting and finishing time, each pec-dec station uses 2 hours of ma-chining and welding time and 2 hours of painting and finishing time, and each leg- press station requires 2 hours of machining and welding time and 2 hours of painting and finishing time. In addition, 2 hours are spent assembling, testing, and packaging each Body Plus 200.

The raw material costs are $ 650 for each frame, $ 400 for each press station, $ 250 for each pec-dec station, and $ 200 for each leg- press station; packaging costs are estimated to be $ 75 per unit. For the next production period, management estimates that 600 hours of machining and welding time; 450 hours of painting and finishing time; and 140 hours of assembly, testing, and packaging time will be available. Current labor costs are $ 20 per hour for machining and welding time; $ 15 per hour for painting and finishing time; and $ 12 per hour for assembly, testing, and packaging time.

The market in which the two machines must compete suggests a retail price of $ 2400 for the Body Plus 100 and $ 3500 for the Body Plus 200, although some flexibility may be available to BFI because of the unique capabilities of the new machines. Authorized BFI dealers can purchase machines for 70% of the suggested retail price.

BFI’s president believes that the unique capabilities of the Body Plus 200 can help position BFI as one of the leaders in high- end exercise equipment. Consequently, she states that the number of units of the Body Plus 200 produced must be at least 25% of the total production.

Analyze the production problem at Better Fitness, Inc., and prepare a report for BFI’s president presenting your findings and recommendations. Include ( but do not limit your discussion to) a consideration of the following items:

1. The recommended number of Body Plus 100 and Body Plus 200 machines to produce

2. The effect on profits of the requirement that the number of units of the Body Plus 200 produced must be at least 25% of the total production

3. Where efforts should be expended in order to increase contribution to profits Include a copy of your linear programming model and graphical solution in an appendix to your report.

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1 The recommended number of BodyPlus 100 and BodyPlus 200 machines to produce Let BP100 the number o... View the full answer