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?
?
A. 6000 units of model X950 units of model YOptimal profit: $1,461,250
B. 950 units of model X6000 units of model YOptimal profit: $1,840,000
C. 400 units of model X1200 units of model YOptimal profit: $410,000
D. 950 units of model X4200 units of model YOptimal profit: $1,345,000
E. 4200 units of model X950 units of model YOptimal profit: $1,101,250
Answer: C
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A. foci at (- 
, -2) and (
, -2)
B. foci at (2 + 
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A. 
B. 
C. 
D. 