The demand for a firm's product X is dependent on price, the price function for product X being P=q2/3 - 45q/2 + 450, where q is thequantity sold.

The demand for a firm's product X is dependent on price, the price function for product X being P=q2/3 - 45q/2 + 450, where q is thequantity sold.Use differential calculus to find both sales volume at which revenue is maximised and the maximum revenue available from sales of product X.