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A mining company has two mines. One day's operation at mine #1produces ore that contains 30 metric tons of copper and 600kilograms of silver, while one day's operation at mine #2 producesore that contains 40 metric tons of copper and 380 kilograms ofsilver. Let v1 = (30, 600) [vector] and v2 =(40, 380) [vector]. Then v1 and v2 representthe "output per day" of mine #1 and mine #2, respectively.

a) What physical interpretation can be given to the vector5v1?

b) Suppose the company operates mine #1 for x1 daysand mine #2 for x2 days. Write a vector equation whosesolution gives the number of days each mine should operate in orderto produce 240 tons of copper and 2824 kilograms of silver. Do notsolve the equation.

c) [M] Solve the equation in (b).

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Sixta Kovacek
Sixta KovacekLv2
19 Apr 2019
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