In the Ordering NCAA T-Shirt problem discussed in class, start with the initial assumptions and make the following modification. (Copy the worksheet and make the corresponding modification). Randy realized that the demand for the t-shirt depends on the full selling price of the t-shirt. From his prior experience, he knows that the demand has never exceeded 3000 t-shirts. He also knows that at the price of $15 there would be no demand for his t-shirts and below $15 he can sell an additional 200 t-shirts for every $1 reduction in price. So, for simplicity, he assumes that the demand relationship is expressed by a linear equation resulting in the following equation for the demand for t-shirts:

Demand for t-shirts = 3000 200* Full Price for t-shirt

Note that this equation is valid for prices between $0 and $15. Assume also that prices are changed in the increment of only one dollar.

1. Find the break-even prices (there are two of them one corresponds to minimum price and the other corresponds to maximum price) for a given order quantity, say 1000?