Please show all the process

A manufacturer makes ballpoint pens and pencils. The former yields a profit of $5 per unit and the latter $3 per unit. Both products go through 3 processes: Molding, Assembling and Testing. The pens require 4 minutes, 2 minutes and 3 minutes respectively in the above processes. The pens require 1 minute, 2 minutes and 2 minutes respectively. The time available for each process respectively is 1,200 minutes, 1,000 minutes and 1,200 minutes.

1. Quantify the data 2. Establish the objective function 3. Establish the constraints 4. Evaluate the constraints Assemble Test 5. Elaborate the constraint graph 6. Evaluate the extreme points of the graph 7. Determine at which point the optimal production combination is found and which is it (if there is no optimal combination, indicate at which point the maximum profit is obtained). 8. Indicate what is the value of the maximum profit and at what point it is located.