The retailer will start making money after 3 days
Given the following
Total profit function R(x) = 2x³ – 20x² + 26x + 48
Total cost function A(x) = x²– 2x – 3
Generate the revenue function;
Profit = Revenue - Cost
Revenue = Profit + Cost
p(x) = 2x³ – 20x² + 26x + 48 + x²– 2x – 3
P(x) = 2x³ -19x² + 24x + 45
The retailer starts making money when P(x) = 0
On substituting into the resulting function:
2x³ -19x² + 24x + 45 = 0
x is the number of days
Factorize to get x
On factorizing the polynomial function, the zeros of the function are -1, 3, and 7.5.
This shows that the retailer will start making money after 3 days
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