Answer:
$3125
Step-by-step explanation:
The profit is the revenue minus the cost.
p = (70) x − (20 + 0.2x) x
p = 70x − 20x − 0.2x²
p = -0.2x² + 50x
The maximum profit is at the vertex of the parabola.
x = -b / (2a)
x = -50 / (2 × -0.2)
x = 125
The maximum profit is:
p = -0.2(125)² + 50(125)
p = 3125
It seems you correctly found the number of units needed to maximize the profit, but you forgot to plug it back into the equation to get the profit.
