Sebastian owns a hobby shop. He sells model airplanes, trains, and cars. Sebastian earns $12 of profit per airplane, $10 of profit per train, and $8 of profit per car. He has 1,000 square feet of showroom space. Each airplane takes 4 square foot, each train takes 5 square feet, and each car takes 3 square feet. However, he doesn’t want the shop to look too clutter and therefore doesn’t want more than 300 total items on display. He also has 60 hours of time available to set up displays. It takes 12 minutes to set up an airplane, 20 minutes to set up a train and 10 minutes to set up a car. He expects to sell at least 20 cars and wants to have at least twice as many airplanes as trains.
How much profit does Sebastian make at the optimal solution?
| A.Product | B.Profit per item | C.Space per item | D.Time taken each item | E.Total items | F.Sold items | Total Space(E*C) | Total Time(E*D) | Total Profit (E*B) | NA |
| Airplane | 12 | 4 sq ft | 12 min | 44 | 2X | 176 sq ft | 528 min | 528 | NA |
| Train | 10 | 5 sq ft | 20 min | 22 | X | 110 sq ft | 440 min | 220 | NA |
| Car | 8 | 3 sq ft | 10 min | 234 | atleast 20 cars | 702 sq ft | 2340 min | 1872 | NA |
| Total | 1000 sq ft | 60 hr | 300 | 988 sq ft | 3308min | 2620 | NA |
Total profit= $ 2620
Sebastian owns a hobby shop. He sells model airplanes, trains, and cars. Sebastian earns $12 of...
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