First determine the linear relationship of the number of units sold per day, n, to the unit price, 1., n[x]=a+bx, then maximize the prot function with respect to the unit price, x. Prot = total revenue total cost -overhea1d. As a salesperson that sells 1,000 sodas a day for $3 each, once you raised the price to $4.00 each, the sale plummeted to 800 sodas a day. If there is a linear relationship between the price and the number of sodas soldI assume that there is a xed cost [overhead] of $500 per clay:r and the cost of each soda is $1.50. 1|.|"t'hat would be the price of a soda for maximum prot