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.

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
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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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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