A Structured Approach

1. Carpentry
   1. What is the maximum number of trains you can make with the available carpentry hours if you had unlimited painting hours and demand? Why this number?
   2. What is the maximum number of dolls you can make with the available carpentry hours if you had unlimited painting hours and demand? Why this number?
2. What is the equation of the constraint line for carpentry?
3. Painting
   1. What is the maximum number of trains you can make with the available painting hours if you had unlimited carpentry hours and demand? Why this number?
   2. What is the maximum number of dolls you can make with the available painting hours if you had unlimited carpentry hours and demand? Why this number?
4. What is the equation of the constraint line for painting?
5. Train production
   1. What is the maximum number of trains that can be produced? Why this number?
   2. What is the equation of the line for this maximum number of trains that can be produced?
6. Doll production
   1. What is the maximum number of dolls that can be produced? Why this number?
   2. What is the equation of the line for this maximum number of trains that can be produced?
7. What is the minimum number of dolls and trains that can be produced? Why?
   1. Where is this point located on the graph?
8. Given the constraints of painting, carpentry hours and demand, what is the maximum:
   1. Number of dolls that can be produced? Why this number?
   2. Number of trains that can be produced? Why this number?
9. Use the graph to explore the profit achieved when different numbers of dolls and trains are produced.
   1. What number of dolls and trains gives the best profit?
   2. Is the point on the graph which optimises the profit at an intersection of constraint lines, if so why do you think this might be?