Charlotte sells widgets which cost $50 each to purchase and prepare for sale. Annual sales are 10,000 widgets, carrying cost are 15% of inventory costs, and Charlotte incurs a cost of $25 each time an order is placed. Suppose her supplier decides to offer a 3% cash discount if products are ordered in increments of 1250. How many widgets should Charlotte order each time an order is placed to minimize costs?

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A: Please see the next step for the solution

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A: Please see the next step for the solution