Solution: The Southern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources - rubber and leather. The resource
Question: The Southern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources - rubber and leather.
The resource requirements for each product and the total resources available are as follows.
| Resource Requirements per Unit | ||
| Product | Rubber (lb) | Leather (ft 2 ) |
| Basketball | 3 | 4 |
| Football | 2 | 5 |
| Total resources available | 500 lb | 800 ft 2 |
Each basketball produced results in a profit of $12, and each football earns $16 in profit.
- Formulate a linear programming model to determine the number of basketballs and footballs to produce in order to maximize profit.
- Transform this model into standard form.
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