A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C = 0.2x" + 8,000. How fast is the cost per month changing when production is changing at the rate of 17 units per month and the production level is 80 units? . . . Costs are at the rate of $ per month at this production level. (Round to the nearest dollar as needed.)A 14foot ladder is leaning against a building. lithe bottom of the ladder sliding along the pavement directly away from the building at 3 feetl'seeond, how fast is the top of the ladder mtwing down when the foot of the ladder is 5 feet from the wall? ...; The top of the ladder is moving down at a rate of D feetlsecend when the foot of the ladder is 5 feet from the wall. (Round he the nearest thousandth as needed.)