A mining company has two mines. One day's operation at mine #1 produces ore that contains 40 metric tons of copper and 600 kilograms of silver, while one day's operation of mine#2 produces ore that contains 50 metric tons of copper and 580 kilograms of silver. Let v₁ = [400] and v₂ = [50]. Then v₁ and v₂ represent the "output per day" of mine #1 and mine#2, respectively. Complete parts (a) through (c). (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. o B. It is the output at mine#2 after two days of operation. o C. It is the output of silver at mine#1 after 2 days of operation. o D. It is the output 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 276 tons of copper and 3528 kilograms of silver. Do not solve the equation. _v₁ + _________v₂ = (Write an integer or decimal for each matrix element)
A mining company has two mines. One day's operation at mine #1 produces ore that contains 40 metric tons of copper and 600 kilograms of silver, while one day's operation of mine#2 produces ore that contains 50 metric tons of copper and 580 kilograms of silver. Let v₁ = [400] and v₂ = [50]. Then v₁ and v₂ represent the "output per day" of mine #1 and mine#2, respectively. Complete parts (a) through (c). (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. o B. It is the output at mine#2 after two days of operation. o C. It is the output of silver at mine#1 after 2 days of operation. o D. It is the output 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 276 tons of copper and 3528 kilograms of silver. Do not solve the equation. _v₁ + _________v₂ = (Write an integer or decimal for each matrix element)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
Problem 17P
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![. A mining company has two mines. One day's operation at mine #1 produces
ore that contains 40 metric tons of copper and 600 kilograms of silver, while
one day's operation of mine#2 produces ore that contains 50 metric tons of
50
copper and 580 kilograms of silver. Let v₁ = [400] and v₂ = [5]. Then
v₁ and 1₂ represent the "output per day" of mine #1 and mine#2,
respectively. Complete parts (a) through (c).
(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.
o B. It is the output at mine# 2 after two days of operation.
o C. It is the output of silver at mine#1 after 2 days of operation.
o D. It is the output 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
276 tons of copper and 3528 kilograms of silver. Do not solve the equation.
_v₁ + _______v₂ =
(Write an integer or decimal for each matrix element)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F95ac1400-18fa-42f2-b14c-acf34ce9de79%2F8855e91a-f74c-4f3e-8661-327466b5d810%2Flj8o60c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:. A mining company has two mines. One day's operation at mine #1 produces
ore that contains 40 metric tons of copper and 600 kilograms of silver, while
one day's operation of mine#2 produces ore that contains 50 metric tons of
50
copper and 580 kilograms of silver. Let v₁ = [400] and v₂ = [5]. Then
v₁ and 1₂ represent the "output per day" of mine #1 and mine#2,
respectively. Complete parts (a) through (c).
(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.
o B. It is the output at mine# 2 after two days of operation.
o C. It is the output of silver at mine#1 after 2 days of operation.
o D. It is the output 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
276 tons of copper and 3528 kilograms of silver. Do not solve the equation.
_v₁ + _______v₂ =
(Write an integer or decimal for each matrix element)
Transcribed Image Text:Solve the equation in (b).
The company operates mine #1 for
(Round to the nearest tenth as needed.)
The company operates mine #2 for
(1) o days.
o kilograms.
O metric tons.
(2) o metric tons.
o kilograms.
o days.
_(1).
(2).
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