[-l1 Points] DETAILS SCALCET9 4.7.054.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A boat leaves a dock at 3:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due east at 15 km/h and reaches the same dock at 4:00 PM. How many minutes after 3:00 PM were the two boats closest together? (Round your answer to the nearest minute.) min Need Help? [-l1 Points] TAILS SCALCET9 4.7.063. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER What is the shortest possible length of the line segment that is cut off by the rst quadrant and is tangent to the curve y = l at some point? X Need Help? _'_ [-l1 Points] DETAILS SCALCET9 4.7.065. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If C(x) is the cost of producing x units of a commodity, then the average cost per unit is C(x) = C(TX). Consider the cost function C(x) given below. (Round your answers to the nearest cent.) C(X) = 54,000 + 150x + 4x3l2 (a) Find the total cost (in dollars) at a production level of 1,000 units. 15 (b) Find the average cost (in dollars per unit) at a production level of 1,000 units. 1; per unit (c) Find the marginal cost (in dollars per unit) at a production level of 1,000 units. 1; per unit (d) Find the production level (in units) that will minimize the average cost. units (e) What is the minimum average cost (in dollars per unit)? 1; per unit