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 #2 produces ore that contains 20 metric tons of copper and 550 kilograms of silver. Let v₁ = 10 590 and V₂ 20 550 Then v₁ and v₂ represent the "output per day" of mine #1 and mine #2, respectively. Complete parts (a) through (c) below. a. What physical interpretation can be given to the vector 2v₁? OA. 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. OC. 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. 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 not solve the equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 not solve the equation.
v₁+₂=
(Type an integer or decimal for each matrix element.)
Transcribed Image Text: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 not solve the equation. v₁+₂= (Type an integer or decimal for each matrix element.)
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