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mel-nik [20]
3 years ago
9

A model for a​ company's revenue from selling a software package is ​r(p)equals=minus−2.52.5p2plus+850850​p, where p is the pric

e in dollars of the software. what price will maximize​ revenue? find the maximum revenue.
Business
1 answer:
belka [17]3 years ago
8 0

From the given, the revenue is given to be equal to,

<span>   r(p) = -2.5p^2 + 850p</span>

To determine the price at which the maximum revenue is realized, we derive the equation and equate to zero as shown below.

 

<span>   dr(p) = -5p + 850 </span>

 

Equating to zero,

<span>   0 = -5p + 850</span>

The value of p from the equation is 170.

Answer: $170


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$1,125

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Now, the Santayana decides the machine will last 12 years from the date of purchase and we have already deduct the depreciation for the 2 years. So, we need to consider only 10 years for calculating the new annual depreciation.

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