R(p)=-2.5p^2+550p

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Solution for R(p)=-2.5p^2+550p equation:


Simplifying
R(p) = -2.5p2 + 550p

Multiply R * p
pR = -2.5p2 + 550p

Reorder the terms:
pR = 550p + -2.5p2

Solving
pR = 550p + -2.5p2

Solving for variable 'p'.

Reorder the terms:
-550p + pR + 2.5p2 = 550p + -2.5p2 + -550p + 2.5p2

Reorder the terms:
-550p + pR + 2.5p2 = 550p + -550p + -2.5p2 + 2.5p2

Combine like terms: 550p + -550p = 0
-550p + pR + 2.5p2 = 0 + -2.5p2 + 2.5p2
-550p + pR + 2.5p2 = -2.5p2 + 2.5p2

Combine like terms: -2.5p2 + 2.5p2 = 0.0
-550p + pR + 2.5p2 = 0.0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-550 + R + 2.5p) = 0.0

Subproblem 1

Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0

Subproblem 2

Set the factor '(-550 + R + 2.5p)' equal to zero and attempt to solve: Simplifying -550 + R + 2.5p = 0 Solving -550 + R + 2.5p = 0 Move all terms containing p to the left, all other terms to the right. Add '550' to each side of the equation. -550 + R + 550 + 2.5p = 0 + 550 Reorder the terms: -550 + 550 + R + 2.5p = 0 + 550 Combine like terms: -550 + 550 = 0 0 + R + 2.5p = 0 + 550 R + 2.5p = 0 + 550 Combine like terms: 0 + 550 = 550 R + 2.5p = 550 Add '-1R' to each side of the equation. R + -1R + 2.5p = 550 + -1R Combine like terms: R + -1R = 0 0 + 2.5p = 550 + -1R 2.5p = 550 + -1R Divide each side by '2.5'. p = 220 + -0.4R Simplifying p = 220 + -0.4R

Solution

p = {0, 220 + -0.4R}

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