Solve the problem.A politician is planning to spend a total of 40 hours on a campaign swing through the southern states of Arkansas, Louisiana, Mississippi, Alabama, and Georgia. Assume that he spends the same amount of time in Mississippi as in Alabama; half the amount of time in Georgia as in Arkansas; and the same amount of time in Mississippi, Alabama, and Georgia (combined) as in Arkansas and Louisiana (combined). How can he distribute his time among the five states? (Let a be the hours spent in Arkansas, b the hours spent in Louisiana, c the hours spent in Mississippi, d the hours spent in Alabama, and e the hours spent in Georgia. Let e be the parameter.)
A. a = 2e, b = 20 - e, c = 10 - e/2, d = 10 - e/2, 0 ? e ? 10
B. a = e, b = 20 - e/2, c = 10 - e/4, d = 10 - e/4, 0 ? e ? 20
C. a = 2e, b = 20 - e, c = 10 - e, d = 10 - e, 0 ? e ? 20
D. a = 2e, b = 20 - 2e, c = 10 - e/2, d = 10 - e/2, 0 ? e ? 10
Answer: D
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