A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying capacity of 504,000 gallons. Tank cars with three different carryingcapacities 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 galloncapacity. Select the correct choice below and fill in the answer boxes within your choice.

Given:x1 = number of tank cars with a capacity of 6000 gallonsx2 = number of tank cars with a…

Answered: A chemical manufacturer wants to lease…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A store has three types of laptops (A, B, C). There are twice as many type A than type B. There are 20 fewer type A than type C. There are 320 laptops in total. How many laptops are there of each type?
A mining company has two mines. One day's operation at mine #1 produces ore that contains 10 metric tons of copper and 590 kilograms of silver, while one day's operation at mine 10 and V₂ = #2 produces ore that contains 20 metric tons of copper and 550 kilograms of silver. Let v₁ 20 550 Then v₁ and v₂ represent the "output per day" of mine #1 and 590 mine #2, respectively. Complete parts (a) through (c) below. a. What physical interpretation can be given to the vector 2v₁? O A. It is the output of copper at mine #1 after 2 days of operation. B. It is the output at mine #1 after 2 days of operation. O C. It is the output at mine #2 after 2 days of operation. OD. It is the output of silver at mine #1 after 2 days of operation. C... b. Suppose the company operates mine #1 for x₁ days and mine #2 for x₂ days. Write a vector equation in terms of v₁ and v₂ whose solution gives the number of days each mine should operate in order to produce 72 tons of copper and 2610 kilograms of silver. Do…
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A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying capacity of 420,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. How many of each type of tank car should be leased? Let x, be the number of cars with a 7,000 gallon capacity, x₂ be the number of cars with a 14,000 gallon capacity, and x3 be the number of cars with a 28,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice. O A. The unique solution is x₁ = X₂ , and x3 = (Simplify your answers.) O B. There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x₁ = (Simplify your answers. Type integers or simplified fractions.) O C. There is no solution. t+( x₂ = t+ and x3 = t for sts
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