Question 6
(The following comprehension is purely imaginary)
“FUNKY” is a compay that manufactures purses, shoes and backpacks. The construction of the three products requires leather and synthetic material, with leather being the limiting raw material. The production process uses two types of skilled labour: Sewing and Polishing. Table-2 gives the availability of the resources, the usage in the three products and the profits per unit.
| Resource | Resource requirements per unit | Daily availability of resource | ||
|---|---|---|---|---|
| Purse | Shoes | Backpacks | ||
| Leather (in feet) | 2 | 1 | 3 | 42 |
| Sewing (in Hours) | 2 | 1 | 2 | 40 |
| Polishing (in Hours) | 1 | 2 | 1 | 42 |
| Profit (in Rs./unit) | 24 | 22 | 45 | -- |
Table-2
Given the above information, formulate the problem as a linear program to maximize the profit and answer the subquestions.
Excluding the non-negativity constraint, how many (count of) constraints are present in the standard form of the primal?