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es. One day's operation at mine #1 produces ore that
Chapter 1, Problem 27E(choose chapter or problem)
PROBLEM 27EA mining company has two mines. One day's operation at mine #1 produces ore that contains 20 metric tons of copper and 550 kilograms of silver, while one day's operation at mine #2 produces ore that contains 30 metric tons of copper and 500 kilograms of silver. Let v1 = and v2 = . Then v1 and v2 represent the "output per day" of mine #1 and mine #2, respectively.a. What physical interpretation can be given to the vector 5v1?b. Suppose the company operates mine #1 for x1 days and mine #2 for x2 days. Write a vector equation whose solution gives the number of days each mine should operate in order to produce 150 tons of copper and 2825 kilograms of silver. Do not solve the equation.c. [M] Solve the equation in (b).
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QUESTION:
PROBLEM 27EA mining company has two mines. One day's operation at mine #1 produces ore that contains 20 metric tons of copper and 550 kilograms of silver, while one day's operation at mine #2 produces ore that contains 30 metric tons of copper and 500 kilograms of silver. Let v1 = and v2 = . Then v1 and v2 represent the "output per day" of mine #1 and mine #2, respectively.a. What physical interpretation can be given to the vector 5v1?b. Suppose the company operates mine #1 for x1 days and mine #2 for x2 days. Write a vector equation whose solution gives the number of days each mine should operate in order to produce 150 tons of copper and 2825 kilograms of silver. Do not solve the equation.c. [M] Solve the equation in (b).
ANSWER:Solution: Step 1: Given that A mining company has two mines. One day's operation at mine #1 produces ore that contains 20 metric tons of copper and 550 kilograms of silver, while one day's operation at mine #2 produces ore that contains 30 metric tons of copper and 500 kilograms of silver. Let v1 = and v2 = . Then v1 and v2 represent the "output per day" of mine #1 and mine #2, respectively.