The Daily Profit Made by an Automobile Manufacturer Is $P ( x ) = - 45 x ^ { 2 } + 2,250 x - 18,000$

question 28

Short Answer

The daily profit made by an automobile manufacturer is $P ( x ) = - 45 x ^ { 2 } + 2,250 x - 18,000$ where x is the number of cars produced per shift. How many cars must be produced per shift for the company to make a daily profit of $6000? Round any decimal part up to the next whole car.

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Definitions:

Beginning Inventory

The value of goods available for sale at the start of an accounting period, essential for calculating cost of goods sold.

Gross Profit

The financial gain made after subtracting the cost of goods sold from the total sales revenue.

Net Sales

Net sales is the revenue from sales of goods or services after subtracting returns, allowances for damaged or missing goods, and discounts.

Inventory Available

The total quantity of goods a company has on hand for sale at any given time, including both finished goods and goods in production.