A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 456,000 gallons. Tank cars with three different carrying capacities are available: 6,000 gallons, 12,000 gallons, and 24,000 gallons. How many of each type of tank car should be leased? Let x1 be the number of cars with a 6,000 gallon capacity, x2 be the number of cars with a 12,000 gallon capacity, and x3 be the number of cars with a 24,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice. A. The unique solution is x1=nothing, x2=nothing, and x3=nothing. (Simplify your answers.) B. There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x1=nothingt+(nothing), x2=nothingt+(nothing), and x3=t for nothing≤t≤nothing. (Simplify your answers. Type integers or simplified fractions.) C. There is no solution.
A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying capacity of 456,000 gallons. Tank cars with three different carrying capacities are available: 6,000 gallons, 12,000 gallons, and 24,000 gallons. How many of each type of tank car should be leased? Let x1 be the number of cars with a 6,000 gallon capacity, x2 be the number of cars with a 12,000 gallon capacity, and x3 be the number of cars with a 24,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice. A. The unique solution is x1=nothing, x2=nothing, and x3=nothing. (Simplify your answers.) B. There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x1=nothingt+(nothing), x2=nothingt+(nothing), and x3=t for nothing≤t≤nothing. (Simplify your answers. Type integers or simplified fractions.) C. There is no solution.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 52SE: A car wash offers the following optional services to the basic wash: clear coat wax, triple foam...
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Question
A chemical manufacturer wants to lease a fleet of
28
railroad tank cars with a combined carrying capacity of
456,000
gallons. Tank cars with three different carrying capacities are available:
6,000
gallons,
12,000
gallons, and
24,000
gallons. How many of each type of tank car should be leased?Let
x1
be the number of cars with a
6,000
gallon capacity,
x2
be the number of cars with a
12,000
gallon capacity, and
x3
be the number of cars with a
24,000
gallon capacity. Select the correct choice below and fill in the answer boxes within your choice.The unique solution is
x1=nothing,
x2=nothing,
and
x3=nothing.
(Simplify your answers.)There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations
x1=nothingt+(nothing),
x2=nothingt+(nothing),
and
x3=t
for
nothing≤t≤nothing.
(Simplify your answers. Type integers or simplified fractions.)
There is no solution.
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