g 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 296 tons of copper and 2454 kilograms of silver. Do not solve the equation.

The vector equation in terms of v1 and v2 is x₁v₁ + x₂v₂ = [296 2454]

Step-by-step explanation:

Solution

The aim is to write down a vector equation in terms of v1 and v2, when solution gives the number of days each mine should operate in order to produce 296 tons of copper and 2454 kilograms of silver.

Thus,

Suppose that b = [ 296 2454] is the corresponding vector which is representing the total needed output.

Now,

If the company operates mine 1 for x1 days and mine #2 for x2 days

Then,

The total output becomes x₁v₁ + x₂v₂ which is the same output to b = [296 2454]

Hence, x₁ and x₂ should be satisfactory to the needed vector equation x₁v₁ + x₂v₂ = [296 2454]

So, the vector equation becomes x₁v₁ + x₂v₂ = [296 2454]