6. Suppose that the supply cost is 61 and the company has decided to set the price less than 71, then what will be the optimal price? Interpret the results

By analysing historical data for a headphone sale company, it can be seen that the sale volume has been changed according to its price in different periods. The values have been reported in the following table. This company is going to launch a new headphone and the price needs to be decided based on the market analysis. Determine the appropriate price for the newly developed headphone with the aim of maximizing the company's profit. The demand for the newly developed product has a direct relationship to its price. Table 1- Demands of headphone based on a price level according to previous experiences The main objective of the company is to maximize profit regarding the new product. It is assumed that the unit production and supply cost of each headphone is 45, so the profit of each unit will be (the sale price - unit production cost)