تم الحل ✓
categoryهندسة صناعية وإنتاج
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
Eli Daisy manufacturers two drugs in Los Angeles and Indianapolis. The following table summarizes the cost of producing one pound of each
drug and the machine time (in hours) required to produce one pound of each drug at each city.
Drug 1 Cost
(in dollars)
Indianapolis
Los Angeles
4.20
4.00
Drug 1 Time
(in hours)
0.2
0.25
Drug 2 Cost
(in dollars)
4.80
5.20
Drug 2 Time
(in hours)
0.4
0.3
Eli Daisy needs to produce at least 1,000 pounds of drug 1 and 2,000 pounds of drug 2 per week. The company has 500 hours per week of
machine time in Indianapolis and 450 hours per week of machine time in Los Angeles. Formulate an LP to determine the production plan that
minimizes the cost of producing the needed drugs.
Using What'sBest to solve the LP, we obtain that in order to minimize the total production
cost, Eli Daisy should produce 0
pounds of drug 1 and
pounds of drug 2 in
drug 1 and
✓ pounds of drug 2 in Los Angeles. The
☑.
☑ pounds of
Indianapolis, and
minimum total production cost is $
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