quantitative methods
3.10 Avaria Autosports sell rally-driving adventure weekends to com panies looking for incentive gifts...
3.10 Avaria Autosports sell rally-driving adventure weekends to com panies looking for incentive gifts for staff. Careful study of their past sales suggests that the price per weekend is based on the number of weekends sold, x, in line with: Price (£) = 635 - 3x Their costs depend on the weekends sold according to the expression: Cost(£) = 450 + 5x + (a) Obtain the profit equation for the company, (b) Use this equation to find the number of sales and the price at which they would maximize their profit, as well as the maximum profit. (c) By means of the second derivative of the profit equation demonstrate that the sales level in (b) is at a maximum point on the profit equation. Soumotchka Accessories make customized handbags to order.