81. In a lottery, there are 250 prizes of $5, 50 prizes of $25, and ten prizes of $100. Assuming that 10,000 tickets are to be issued and sold, what is a fair price to charge to break even

the price of the ticket should be $0.35/ticket

Explanation:

since each ticket in a lottery are equally likely to be chosen, we define the random variable P= gains from the lottery .Then the expected gain is :

E(P) = probability of getting the $5 prize * $5/ticket +  probability of getting the $25 prize * $25/ticket + probability of getting the $100 prize * $100/ticket = 250/10000 * $5/ticket + 50/10000 * $25/ticket + 10/10000 * $100/ticket = $0.35/ticket

then if all lottery tickets have the same prize ( the lottery tickets are not segmented according to the prizes, where more expensive ticket is associated with the highest prize), then in order to break even the cost of the ticket should be the same that the revenue we get from it , thus

Cost of the ticket = revenue of the ticket = $0.35/ticket

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explanation:

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hi,

henry is an economist and wants to understand the relationship between inflation and consumer spending habits. for his research, he needs the consumer price index for 2014 and the inflation rate. based on the prices of goods given, what will he find to be the cpi and inflation rate for 2014? assume that a consumer’s basket for three consecutive years consists of the following:

you dont privide answer choices.

answer - 15% of a inflatation rate is 15% less in cpi