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Answer:
The maximum profit is $854
Step-by-step explanation:
Profit is the difference between the revenue and the cost price of an item. It is given by:
Profit = selling price - cost price
Since x represent the profit made by the company, is related to the selling price of each widget, x and it is given by the formula:
y = -3x² + 155x - 1148
At maximum profit, dy/dx = 0, hence:
dy/dx = -6x + 155
0 = -6x + 155
6x = 155
x = 25.83
The maximum profit is at gotten when the selling price of each widget is 25.83. Hence:
y = -3(25.83)² - 155(25.83) - 1148
y = $854
Therefore the maximum profit is $854