Your friend - an artist - has asked you to help her determine how many paintings sized 50x150cm she should paint for sale. She's deciding between one, two, three, or four paintings. Your friend sells the paintings for 300 monetary units each. She spends 8 hours on each painting (1 hour of work = 15 monetary units). Additionally, each painting incurs an extra cost of 40 monetary units (for canvas, backing, paints, brushes, sprays). Based on past data, you estimate that with a probability of 0.2, there will be no potential buyers; with a probability of 0.2, there will be one potential buyer; with a probability of 0.2, there will be two potential buyers; with a probability of 0.3, there will be three potential buyers; with a probability of 0.1, there will be four potential buyers. Assume that if there are fewer paintings produced than potential buyers, some (randomly selected) potential buyers will remain without a painting; otherwise, all potential buyers will purchase exactly one painting. What will you advise her if you're deciding based on expected values?
Your friend - an artist - has asked you to help her determine how many paintings sized 50x150cm she should paint for sale. She's deciding between one, two, three, or four paintings. Your friend sells the paintings for 300 monetary units each. She spends 8 hours on each painting (1 hour of work = 15 monetary units). Additionally, each painting incurs an extra cost of 40 monetary units (for canvas, backing, paints, brushes, sprays). Based on past data, you estimate that with a probability of 0.2, there will be no potential buyers; with a probability of 0.2, there will be one potential buyer; with a probability of 0.2, there will be two potential buyers; with a probability of 0.3, there will be three potential buyers; with a probability of 0.1, there will be four potential buyers. Assume that if there are fewer paintings produced than potential buyers, some (randomly selected) potential buyers will remain without a painting; otherwise, all potential buyers will purchase exactly one painting. What will you advise her if you're deciding based on expected values?
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