The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.
Given that,
We have to find for the marginal revenue function, locate the demand function.
Remember that the income is zero if no things are sold:
R'(x) = 0.06x² - 0.05x + 152
p(x) is what.
We know that,
MR = dTR/dx = 0.06x² - 0.05x + 152
Integrating the marginal revenue function , we get total revenue function,
MR = TR
= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x
= (0.06x³)/3 - (0.05x²)/2 + 152 x
TR = 0.02 x³ - 0.025 x² + 152 x
TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 152 x
P = ( 0.02 x³ - 0.025 x² + 152 x)/x
P = 0.02x² -0.025x + 152
Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.
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