550 shoes sold when price was $85.00 1500 shoes sold when price was $63.75Total cost formula: C=20x+35000 (x being the # of units produced)Revenue formula: x(price)Profit formula: P=Revenue-Cost

The marketing department has studied the relationship between quantity demanded and price for each of the other lines of shoes that the company sells. Each relationship is negatively correlated and can be closely modeled with a linear function. Therefore, a linear relationship is expected between the amount sold and the price of this new shoe. 14. Recall that 550 shoes were sold when the price was $85.00 and 1500 shoes were sold when the price was 25% off. Use this information to write price, p, as a function of the number of units, x. (Round all decimal values to 5 decimal places.) Top management is considering various options to increase profitability. The firm's chief accountant proposes leaving the price at $63.75 but lowering production to 1500 per week. This would lower cost and increase profit. 15. Determine the profit that would be realized using the accountant's proposal