The Machine Shop is a retailer of tools for carpenters. Their top selling product is a revolutionary

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The Machine Shop is a retailer of tools for carpenters. Their top selling product is a revolutionary saw, which sells for €999. However, they are short on cash and try to hold the storage as short as possible. A customer interested in the saw buys with a probability of 0.8 if the saw is in the shop. If he has to wait for a day, he will buy and come back with a probability of 0.6. If the customer has to wait for two days, he will buy with a probability of 0.6, and if he has to wait for more than that, the customer will choose another saw. The owner thinks about offering discounts to customers willing to wait: 5% for one day waiting, 10% for two days waiting, and 15% for more than two days of waiting. Then he believes that the probability of a customer buying will go up to 0.8 for one day waiting, 0.6 for two days waiting, and 0.4 for more than two days of waiting. The owner can buy the saw for €450 and choose express freight (€80 for one day delivery), ordinary delivery (€40 for two days delivery), and snail delivery (free of charge, the tool will come when it comes). What decisions should be made?

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