This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.

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Answer
4 or 6 items
Here's how to find the number of items needed for zero profit:
Step 1: Set the profit equation to zero. The profit is given by . For zero profit (break-even point), we set :
Step 2: Factor the quadratic equation. We need to find two numbers that multiply to and add up to . These numbers are and . So, the equation can be factored as:
Step 3: Solve for . Set each factor equal to zero:
The shopkeeper must sell either 4 items or 6 items to make zero profit.
The number of items he must sell to make zero profit is .
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Here's how to find the number of items needed for zero profit: Step 1: Set the profit equation to zero.
This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.