There will be a lottery in the supermarket, as shown in the figure?

First of all, we can roughly estimate the winning probability of various awards by observing the turntable chart.

Detergent = soy sauce =5/ 16

Tomatoes =3/ 16

Ink =2/ 16

Bicycle =116

It can be seen that the probability of shaking a bicycle is not high, and it is basically impossible for everyone to shake a bicycle.

Let's calculate the winning cost (mathematical expectation) that each lottery player needs to pay in the supermarket.

e(x)= 2.8 *(5/ 16)+5 *(5/ 16)+2 *(3/ 16)+3.5 *(2/ 16)+300 *( 1/ 16)

Estimation: e (x) < 5 * (15/16)+300 * (116) <; 5+ 18.75=23.75

E(x)>2*( 15/ 16)+300*( 1/ 16)=20.625

E(x) The prize cost per customer is about 20-23 yuan.

Compared with the profit margin of about 30% in the supermarket, it will not lose money, so it will not give up the strategy of winning by selling.

The above is only from the mathematical point of view to discuss this problem.

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Let's talk about the reasons in combination with some actual situations in reality.

Not all customers who are attracted by prize-winning sales will reach the lucky draw standard when they shop for 100 yuan, because the gimmicks of prize-winning sales enter the supermarket, but rationally tell themselves that they don't need to buy a lot of things, just buy what they need, which may be more than ten yuan or dozens of dollars. Here, the sales volume brought by prize-winning sales has increased invisibly, and the winning cost of these people's lottery tickets is zero, because they do not meet the lottery standards. In addition, some customers will spend more than 100 yuan or even hundreds of yuan on products, but the cost of the lucky draw is still only 20 yuan.

The cost of acquiring new customers and maintaining old customers through more than 20 yuan is not too expensive. At present, the customer acquisition cost of many Internet products exceeds that of 50 yuan.

Winning customers will definitely make friends with their relatives and friends or "show off", which will inevitably bring exposure, advertising effect and word-of-mouth effect to the supermarket. These more than 20 pieces are the value of flowers.

By creating marketing activities, supermarket managers can effectively convert promotional expenses into sales (the input-output ratio is positive), and not only can they complete the sales tasks set above. In addition, through the promotion of products with prizes, a large number of goods are delivered from the warehouse, which also allows commodity suppliers to see the strength of the supermarket and give appropriate discounts on the purchase price. Purchasing personnel are more confident when negotiating with suppliers.