1.- A small business makes an Ordinary Bicycle and a Professional Bicycle at two different factories. Factory A produces 16 Ordinary Bicycles and 20 Professional Bicycles daily. Factory B produces 12 Ordinary Bicycles and 20 Professional Bicycles daily. It costs 50,000 pesos per day to operate Factory A and 40,000 pesos per day to operate Factory B. There is a current order of 96 Ordinary Bicycles, and 140 Professional Bicycles. How many days should each factory be operated in order to fulfill this order at a minimum cost?

1. How many days should Factory A be operated?

2. How many days should Factory B be operated?

3. Based on the optimal solution, what is the value of the objective function?

4. Based on the optimal solution, how much is the cost of operating in Factory A?

5. Based on the optimal solution, how much is the cost of operating in Factory B?

6. Using the optimal solution, how many is the surplus of ordinary bicycles?

7. Using the optimal solution, how many is the surplus of professional bicycles?

8-10. For three points, write the mathematical model of the objective function, and constraints. (Don't include s.t. or subject to, and the non-negativity variable A, B 0)

Example. Min 2A + 3B

1A + 1B 350

2A + 1B 6001.