The manufacturer makes two models of elliptical cross-training exercise machines. Times for assembling, finishing, and packaging model X are 3 hours, 3 hours, and 0.8 hour, respectively. Times for model Y are 4 hours, 2.5 hours, and 0.4 hour. Total times available for assembling, finishing, and packaging are 3000 hours, 2100 hours, and 500 hours, respectively. Profits per unit are $300 for model X and $375 for model Y.
Find optimal production level for every model?
model X units
model Y units
Compute the optimal profit?