"The amount of product a firm can produce in one week as a function of its capital investment K and its labor L and is given by x = √(KL) where x is the number of units the firm produces in one week, K is the number of machines, and L is the number of man-hours per week. Assume that K is fixed at 14 machines. The only expenses are the cost to operate the machines and wages for the labor. The operating cost per machine is $580 per week and the hourly wage is $54. Assume the firm can sell everything that it produces at a per-unit price of $506. How much should the firm produce in one week if it wants to maximize its profit? The answer does not have to be an integer."