Question: The annual demand for a product equals 500 3p + 10a . 5 , where p is the price of the product in dollars

The annual demand for a product equals 500 – 3p + 10a^.⁵, where p is the price of the product in dollars and a is hundreds of dollars spent on advertising the product. The annual fixed cost of selling the product is $10,000, and the unit variable cost of producing the product is $12. Determine a price (within $10) and amount of advertising (within $100) that maximizes profit.

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