Columbus Corp. has two different ways of producing its product, one which is better at high volume and the other which is better at low volume. Method alpha is a fast but wasteful process which requires $8 of materials and 9 minutes of both labor and machinery per unit produced. Method alpha requires $123247 in fixed cost to set up. Method beta is a slow but efficient process which requires $12 of materials and 15 minutes of both labor and machinery per unit produced. Method beta is easier to setup, with only $80910 in fixed cost. There are additional fixed costs of $270270 incurred regardless of which method is selected. Columbus sells its products machine usage. What is the break even volume at which methods alpha and beta are equally attractive? (whole number} Answer: Which method is better at volumes above the break even point you calculated? Provide a brief intuitive explanation. (Limit the answer to 25 words max.)