The marginal productivity of a manufacturing process is given by the following differential equation, where x is the amount of investment (in thousands of dollars) and y is the number of units produced per month (in hundreds). Production is 2400 units when investment is $5000. Answer parts (a) and (b). dy 3x2- 4x dx (a) Find the production level if investment is increased to $6000. The production level is per month. (b) Find the production level if investment is increased to $12,000. The production level is per month