Your roommates make you breakfast in bed! They can make 8 slices of toast alone or 3 omelets alone or 2 omelets with 4 toast at the same time. 1. Is making 2 of both possible? 2. Is making 2 of both efficient? 3. If provided oranges and a juicer, would squeezing some juice be possible with 2 toast and 2 omelet? 4. Is making 3 of both possible? 5. Is making 3 of both efficient? 6. Starting with 8 slices of toast and no omelets, is each omelet more costly in the first batch of 1-2 omelets or in the second batch while making the 3rd omelet? 7. If provided with a hand-cranked egg beater, the number of omelets doubles from 0,2,3 to 0,4,6 for new totals of 8 slices or 6 omelets or 4 of both at the same time. Now is each omelet more costly in the first batch 0-4 or in the second batch of 5,6? 8. Is making 3 of both now possible? 9. Is making 3 of both now efficient? 10. If you offer to pay your roommates $1 for each serving of toast and $1.50 per omelet for any combination they prepare, then they will prepare which combination (0,8 or 4,4 or 6,0) to earn the most money? 11. If you offer to pay your roommates $1 for each serving of toast and $3 per omelet for any combination they prepare, then they will prepare which combination (0,8 or 4,4 or 6,0) to earn the most money?