A hardware store orders snow blowers during the summer for delivery in the fall. Each snow blower costs the store $400 and if sold prior to or during the winter sells for a full price of $550. The stores manager doesnt want to carry any unsold snow blowers in inventory from one year to the next, so he reduces the price to $350 in the spring in order to get rid of any leftovers. He will be able to sell all of these at this price. Based on past experience, the stores manager expects that the demand for snow blowers at full price will be between 6 and 8. The store manager estimates the probabilities of selling different numbers of snow blowers at full price to be the following: probability of 6 is 0.40, the probability of 7 is 0.35 and the probability of 8 is 0.25.

Draw the decision tree that the hardware store manager can use to analyze this problem. Clearly label all points.

It is not necessary to analyze the decision tree to find the expected value.