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posledela
3 years ago
11

The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x. The price p in dollars that the com

pany can charge for the product is given by p(x) = x + 5. Use the formula Revenue = price × demand to find the revenue function for the product.
Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

The revenue function

R(x) =  - 2x² +490x +2500

Step-by-step explanation:

<u><em>Explanation:-</em></u>

The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x

The price p in dollars that the company can charge for the product is given by p(x) = x + 5

Revenue = price × demand

Revenue = p(x) × d(x)

Revenue = (x+5) ×(500-2x)

Revenue = x(500-2x)+5(500-2x)

Revenue = 500x - 2x² + 2500- 10x

Revenue =  - 2x² +490x +2500

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