Question: Silicon Valley Corporation (Silvco) manufactures transistors. An important aspect of the manufacture of transistors is the melting of the element germanium (a major component of a transistor) in a furnace. Unfortunately, the melting process yields germanium of highly variable quality. Two methods can be used to melt germanium: method costs $50 per transistor, and method 2 costs $70 per transistor. The qualities of germanium obtained by methods and 2 are shown in Table 80. Silvco can refire melted germanium in an attempt to improve its quality. It costs $25 to refire the melted germanium for one transistor. The results of the refiring process are shown in Table 81 . Silvco has sufficient furnace capacity to melt or refire germanium for at most 20.000 transistors per month. Silvco's monthly demands are for 1.000 grade 4 transistors. 2.000 grade 3 transistors. 3.000 grade 2 transistors, and 3.000 grade 1 transistors. Use linear programming to minimize the cost of producing the needed transistors.

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