$200,$ 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 BodyPlus $200$ can help position BFI as one of the leaders in high$-$end exercise equipment. Consequently, he has staterit that the number of units of the BodyPlus $200$ produced must be at least $25\%$ of the total production.

Managerial Report

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:

What is the recommended number of BodyPlus $100$ and BodyPlus $200$ machines to produce?

How does the requirement that the number of units of the BodyPlus $200$ produced be at least $25\%$ of the total production affect profits?

Where should efforts be expended in order to increase profits?

Include a copy of your linear programming model and graphical solution in an appendix to your report.