Ben's swim coach estimates that his time, t, in the 100-yard buttery at a big upcoming meet as a function of the number of yards he swims per week, y, is t= 50 + ae' 00000\". Based on this production function, his coach also estimates that if Ben swims 15,000 yards per week, his time will be 54.39 seconds, and he will finish tenth place. If he swims 30,000 yards per week, his time will be 52.41 seconds, and he will come in third. If he swims 45,000 yards per week, his time will be 51.32 seconds, and he will win the meet. Use calculus to determine Ben's m_argMproductivity of time given the number of yards he practices. Is there diminishing marginal productivity of practice yards? Ben's marginal productivity of swim time given y practice yards (MPy) is MPy = 0.00032e' 000004\" . (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the A character.) Ben's marginal producitivity of practice yards is decreasing . In terms of Ben's place in the big meet, what is his marginal productivity of the number of yards he practices? Is there diminishing marginal productivity of practice yards? Ben's marginal productivity of increasing practice yards from 15,000 yards to 30,000 yards is 7 swim meet places, and his marginal productivity of increasing practice yards from 30,000 yards to 45,000 yards is 2 swim meet places. (Enter numeric responses using integers.) Ben's marginal productivity of practice yards is El