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The Weedwacker Company manufactures two types of lawn trimmers: an electric model and a gas model. The company has contracted to supply a national discount retail chain with a total of 30,000 electric trimmers and 15,000 gas trimmers. However, Weedwacker's production capacity is limited in three departments: production, assembly, and packaging. The following table summarizes the hours of processing time available and the processing time required by each department, for both types of trimmers:
Hours Required per Trimmer
Electric
Gas
Hours Available
Production
0.20
0.40
10,000
Assembly
0.30
0.50
15,000
Packaging
0.10
5,000
The company makes its electric trimmer in-house for $55 and its gas trimmer for $85. Alternatively, it can buy electric and gas trimmers from another source for $67 and $95, respectively. How many gas and electric trimmers should Weedwacker make, and how many should it buy in order to fulfill its contract in the least costly manner?
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