Q.3) A firm produces an alloy having the following specifications:
(i) specific gravity ≤ 0.95;
(ii) chromium ≥ 9%;
(iii) melting point ≥ 480 °C
Raw materials A, B and C having the properties shown in the table can be used to make the alloys
Property | Properties of raw material
---| A | B | C
Specific gravity | 0.92 | 0.97 | 1.04
Chromium | 7% | 13% | 16%
Melting point | 440 °C | 490 °C | 480 °C
Costs of the various raw materials per ton are: € 100 for A, € 200 for B and € 70 for C.
1) Formulate the L.P model to find the proportions in which A, B and C be used to obtain an alloy of desired properties while the cost of raw materials in minimum
2) Obtain Initial Simplex table