Rosie’s footwear manufactures both boots and shoes. Rosie is trying to decide how many shoes and boots to make. Rosie makes a profit of $5 for a pair of shoes and $8 for a pair of boots. It takes 2 labor hours to make a pair of shoes and 4 labor hours to make a pair of boots. The available labor hours are 100. The equipment used to create the footwear is only available for 80 hours. It takes 1 ½ hours to make a pair of shoes and 2 hours for boots.
List the variables in the question
Formulate the objective function
Formulate the constraints
A manufacturer produces desks and chairs. The manufacturer would like to determine the amount of desks and chairs to produce to reduce costs.
| Desks | Chairs | Available | |
| Cost | $15 | $4 | |
| Constraints | |||
| Wood | 10 | 3 | 100 |
| Labor | 3 | 2 | 80 |
| Min # of Desks needed | 5 |
List the variables in the question
Formulate the objective function
Formulate the constraints