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Maloney’s Marker Company specializes in making green and purple markers. Let x be the number of...

Maloney’s Marker Company specializes in making green and purple markers. Let x be the number of green markers and let y be the number of purple markers produced per minute. The cost (in dollars) per minute is C(x,y) = 4x^2 + 14y^2 – 419 and due to storage issues, 2x + 4y = 30. How many of each color marker should be produced per minute to minimize the cost per minute? What is the minimum cost per minute? Use the Lagrange method to solve the problem and show the relevant work! Write a statement to convey your results.

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