The revenues generated by a company and the cost of producing x units can be modeled by the polynomials below:
Revenue: 2x^2+120x
Cost: -0.5x^2-300x-8000
Add the functions to determine the net profit or loss polynomial.
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Step-by-step explanation:
- It is given that:
- Formula of the revenue is: 3x^2+180x3x
- 2
- +180x
- Formula of the cost is: 3x^2-160x+3003x
- 2
- −160x+300
- x = 150
- Profit = Revenue - Cost
- Therefore, substitute with x = 150 in the formulas given to get the revenue and the cost.
- Revenue = 3(150)^2+180(150)=945003(150)
- 2
- +180(150)=94500 $
- Cost = 3(150)^2-160(150)+300=438003(150)
- 2
- −160(150)+300=43800 $
- Therefore, profit = 94500-43800=50,700 $
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