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John's Fruit Shop sells only apples and bananas. Each week, John puts either apples or bananas on sale. He is trying to figure out which

John's Fruit Shop sells only apples and bananas. Each week, John puts either apples or bananas on sale. He is trying to figure out which fruit he should put on sale this week.

John gets all of his business from people who walk by his fruit shop and stop in. He performs some market research and asks 800 different people if they would purchase apples, bananas, or no fruit if they walked by and apples were on sale. He does the same for bananas being on sale.

The following table shows the profit for each type of fruit depending on which fruit John puts on sale:

Apples on sale Bananas on sale

Profit from apples $0.25 $0.40

Profit from bananas $0.45 $0.30

The following table shows the results from his market research.

Customer choice Apples on sale Bananas on sale

Apples 604 92

Bananas 90 620

No fruit 106 88

Total 800 800

This week a total of 400 people will walk by John's Fruit Shop. Make a DECION TREE to help John and answer the questions below.

  1. What is John's expected profit if he puts apples on sale?
  2. What is John's expected profit if he puts bananas on sale?
  3. To maximize his expected profit, John should put __________ apples or bananas on sale.

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