Amanufacturing company has developed a cost model, c(x)= 0.15x^3 + 0.01x^2 +2x +120, where x is the number of item sold thousand. the sales price can be modeled by s(x) + 30- 0.01x. therefore revenues are modeled by r(x)= x*s(x). the company's profit, p(x) = r(x)-c(x) could be modeled by 1. 0.15x^3+ 0.02x^2- 28x+120 2. -0.15x^3-0.02x^2+28x-120 3. -0.15x^3+0.01x^2-2.01x-120 4. -0.15x^3+32x+120

Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,
    P(x) = R(x) - C(x)

If we are to substitute the given expression for each of the terms, we have, 
   P(x) = x(S(x)) - C(x)
Substituting,
   P(x) = x(30 - 0.01x) - (0.15x³ + 0.01x² + 2x + 120)

Simplifying,
   P(x) = 30x - 0.01x² - 0.15x³ - 0.01x² - 2x - 120

Combining like terms,
   P(x) = -0.15x³ - 0.02x² + 28x - 120

The answer to this item is the second among the choice, number 2. 

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