Le Bоlа is а luxury frаgrance cоmpany that specializes in crafting bespоke perfumes. The company produces two signature scents by the bottle: Mixed Signals and Essence of Confusion. Both perfumes undergo three stages of production: extraction, blending, and bottling. The table below shows the time required to produce one bottle of each perfume (in minutes), the available time for each process (in minutes), and the profit contribution per bottle (in dollars). Production Time (Minutes) Time Available (Minutes) Mixed Signals Essence of Confusion Extraction 3 5 580 Blending 2 6 550 Bottling 3 4 470 Profit Per Bottle ($) 18 25 Le Bola wants to determine how many bottles of each type to produce in order to maximize the total profit. You are allowed to produce a fraction of a bottle (i.e., do not constrain the quantity to be an integer). Please round all answers to the nearest integer, no commas or dollar signs. Mixed Signals: [a] Essence of Confusion: [b] Profit: [c] If we increased the available extraction time by a minute, how much would our profit change? [d]
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