A manufacturer is choosing a polymer to produce sterilization trays for medical autoclaves.
The trays must meet the following criteria:
The physical properties and costs of four candidate polymers are shown in the table below:
| Polymer | Cost (£ per kg) | Tensile strength (MPa) | Melting point (∘C^{\circ}\text{C}∘C) | Maximum useable temperature (∘C^{\circ}\text{C}∘C) |
|---|---|---|---|---|
| Alpha | 1.80 | 30 | 160 | 120 |
| Beta | 3.20 | 75 | 300 | 240 |
| Gamma | 2.10 | 50 | 250 | 185 |
| Delta | 1.30 | 22 | 140 | 100 |
Determine, with reasoning, which polymer is the most suitable and cost-effective choice for manufacturing these trays.