# Making decisions with expected values

Calculate expected values and then use them to make decisions.

### Problem

Gabriel's Fruit Shop sells only grapes and kiwis. Each week, Gabriel puts either grapes or kiwis on sale. He is trying to figure out which fruit he should put on sale this week.
Gabriel gets all of his business from people who walk by his fruit shop and stop in. He performs some market research and asks 150 different people if they would purchase grapes, kiwis, or no fruit if they walked by and grapes were on sale. He does the same for kiwis being on sale.
This week a total of 300 people will walk by Gabriel's Fruit Shop.
What is Gabriel's expected profit if he puts grapes on sale? dollar sign
What is Gabriel's expected profit if he puts kiwis on sale? dollar sign
To maximize his expected profit, Gabriel should put
on sale.
(If necessary, round your answers to the nearest cent.)
The following table shows the profit for each type of fruit depending on which fruit Gabriel puts on sale:
Grapes on saleKiwis on sale
Profit from grapesdollar sign, 0, point, 75dollar sign, 0, point, 95
Profit from kiwisdollar sign, 0, point, 80dollar sign, 0, point, 60
The following table shows the results from his market research.
Customer choiceGrapes on saleKiwis on sale
Grapes12350
Kiwis2076
No fruit724
Total150150