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Simplifying R(p) = -25p2 + 1700p Multiply R * p pR = -25p2 + 1700p Reorder the terms: pR = 1700p + -25p2 Solving pR = 1700p + -25p2 Solving for variable 'p'. Reorder the terms: -1700p + pR + 25p2 = 1700p + -25p2 + -1700p + 25p2 Reorder the terms: -1700p + pR + 25p2 = 1700p + -1700p + -25p2 + 25p2 Combine like terms: 1700p + -1700p = 0 -1700p + pR + 25p2 = 0 + -25p2 + 25p2 -1700p + pR + 25p2 = -25p2 + 25p2 Combine like terms: -25p2 + 25p2 = 0 -1700p + pR + 25p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-1700 + R + 25p) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-1700 + R + 25p)' equal to zero and attempt to solve: Simplifying -1700 + R + 25p = 0 Solving -1700 + R + 25p = 0 Move all terms containing p to the left, all other terms to the right. Add '1700' to each side of the equation. -1700 + R + 1700 + 25p = 0 + 1700 Reorder the terms: -1700 + 1700 + R + 25p = 0 + 1700 Combine like terms: -1700 + 1700 = 0 0 + R + 25p = 0 + 1700 R + 25p = 0 + 1700 Combine like terms: 0 + 1700 = 1700 R + 25p = 1700 Add '-1R' to each side of the equation. R + -1R + 25p = 1700 + -1R Combine like terms: R + -1R = 0 0 + 25p = 1700 + -1R 25p = 1700 + -1R Divide each side by '25'. p = 68 + -0.04R Simplifying p = 68 + -0.04RSolution
p = {0, 68 + -0.04R}
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