Scott Shazam's Great Big Bagel Factory deals with large quantities of hot salt water. In the factory, a 50-gallon tank initially contains 10 gallons of fresh water when a solution containing 1 lb of...

Answer both parts of the DE problem

Extracted text: Scott Shazam's Great Big Bagel Factory deals with large quantities of hot salt water. In the factory, a 50-gallon tank initially contains 10 gallons of fresh water when a solution containing 1 lb of salt per gallon begins to pour into the tank at a rate of 4 gal/min. Simultaneously, well-mixed salt solution begins leaving the tank (for the bagel bath) at a rate of 2 gal/min. You may assume that the solution remains perfectly mixed and that the volume of the salt itself is negligible. Set up (but do not solve) an initial value problem modeling this situation. Reach: Set up a system of initial value problems corresponding to the following diagram, where A and B are very large tanks. (You do not need to solve the system.) Input concentration: 2 Ib/gal -2 gal/min- B -2 gal/min A Initial Volume: 87 gal Initial Volume: 5 gal Initial Salt: 9 lbs Initial Salt: O Ibs 1 gal/min- 3 gal/min-