SOLUTION: When x number of units are sold, the price of each unit (in dollars) is given by P = -x/2 + 75. Find the unit price when the following quantities are sold: 2, 7, 9, 11.

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Question 101061: When x number of units are sold, the price of each unit (in
dollars) is given by P = -x/2 + 75. Find the unit price when the following quantities are sold: 2, 7, 9, 11.
Answer by doukungfoo(195) (Show Source):
You can put this solution on YOUR website!
As given by the problem the unit price is P
and the number of units sold is x
So all you have to do to find the unit price for each of the following quantities sold: 2, 7, 9, 11 is use the formula given

Ok so find unit price when number of units sold is 2

So the unit price when the number of units sold is 2 would be $74.00
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How about 7 units?

When 7 units are sold the unit price is $71.50
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Find the unit price for 9 units sold and 11 units sold by repeating the same process.

Note: Formulas like this for unit price based on the number of units sold are often used by companies to encourage customers to buy in bulk. As the customer buys more units the price for each unit drops. The example given in this problem provides a good formula for students to work with and understand the relationship of unit price based on the number of units sold. However, this formula by it self is not suitable for real world application. Why? Well what if the customer bought 150 units?

From this we can see that if a customer bought 150 units the unit price would be zero dollars. Furthermore we can see that once the number of units sold exceeds 150 the result would be a negative unit price. In other words the company producing the units would be paying the customer to take them. To solve this problem a company would probably set a limit of units sold for which this formula was applicable.