A Manufacturer Produces Two Models of Elliptical Cross-Training Exercise Machines

question 46

Multiple Choice

A manufacturer produces two models of elliptical cross-training exercise machines. The times for assembling,finishing,and packaging model X are 3 hours,3 hours,and 0.8 hour,respectively.The times for model Y are 4 hours,2.5 hours,and 0.4 hour.The total times available for assembling,finishing,and packaging are 6000 hours,4200 hours,and 950 hours,respectively.The profits per unit are $200 for model X and $275 for model Y.What is the optimal production level for each model? What is the optimal profit?
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• A)6000 units of model X 950 units of model Y
• Optimal profit: $1,461,250
• B)950 units of model X 6000 units of model Y
• Optimal profit: $1,840,000
• C)400 units of model X 1200 units of model Y
• Optimal profit: $410,000
• D)950 units of model X 4200 units of model Y
• Optimal profit: $1,345,000
• E)4200 units of model X 950 units of model Y
• Optimal profit: $1,101,250

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Definitions:

Rh Antigens

Surface proteins found on red blood cells that can cause immune response, distinguishing between different blood types.

Blood Typing

A laboratory procedure to determine an individual's blood group, crucial for safe blood transfusions and understanding Rh compatibility.

Antibodies

Proteins produced by the immune system to identify and neutralize foreign objects like bacteria and viruses.

Universal Donor

Refers to individuals with O-negative blood type, whose red blood cells can be transferred in a transfusion to individuals of any other blood type without causing an adverse reaction.