Silicon Valley Corporation (Silvco) manufacturestransistors. An important aspect of the manufacture oftransistors is the melting of the element germanium (a majorcomponent of a transistor) in a furnace. Unfortunately, themelting process yields germanium of highly variable quality.Two methods can be used to melt germanium; method 1costs $50 per transistor, and method 2 costs $70 per transistor. The qualities of germanium obtained by methods 1and 2 are shown in Table 80. Silvco can refire melted germanium in an attempt to improve its quality. It costs $25 torefire the melted germanium for one transistor. The resultsof the refiring process are shown in Table 81. Silvco has sufficient furnace capacity to melt or refire germanium for atmost 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 ofproducing the needed transistors. TAB LE 80Grade of‡ Percent YieldedMelted by MeltingGermanium Method 1 Method 2Defective 30 201 30 202 20 253 15 204 5 15
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 1
costs $50 per transistor, and method 2 costs $70 per transistor. The qualities of germanium obtained by methods 1
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.
TAB LE 80
Grade of‡ Percent Yielded
Melted by Melting
Germanium Method 1 Method 2
Defective 30 20
1 30 20
2 20 25
3 15 20
4 5 15
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