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mr Goodwill [35]
2 years ago
11

The table gives sales data for a stationery store in any given two weeks. It lists the probability of the number of items purcha

sed in a single transaction and the average amount spent per transaction. Items Purchased in a Single Transaction Probability Average Amount Spent 2 0.35 $12 3 0.17 $20 4 0.33 $28 5 or more 0.15 $36 Based on the data provided, transactions with items are likely to bring in the most income during the next two-week transaction period.
Mathematics
1 answer:
netineya [11]2 years ago
7 0
From the given data:

Number of items | Probability of being purchased | Average amount spent
--------------------------------------------------------------------------------------------------
            2              |                     0.35                      |            $12
            3              <span>|                     0.17                      |            $20
</span>            4              <span>|                     0.33                      |            $28
</span>       5 or more      <span>|                     0.15                      |            $36
</span>
In a sample space of 100 items being purchased, in a day:

For 2 items: 35 (12) = 420
For 3 items: 17<span> (20) = 340
</span>For 4 items: <span>33 (28) = 924
</span>For 5 or more items: 15<span> (36) = 540
</span>
If this sample trend would go on the for the next two weeks, then the transaction with 4 items would most likely bring in the most income during the said transaction period.
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9/x = 3/100.

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Step-by-step explanation:

4x + 8 = 28,

it's rather straight forward,

you would subtract 8 from the left side,

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The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:

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