Suppose that for a company manufacturing calculators, the cost, revenue, and prot equations are given by X2 C=90.000+30x. R=300xE, P=RC where the production output in 1 week is x calculators. If production is increasing at a rate of 500 calculators per when production output is 4,000 calculators. Find the rate of increase (decrease) in cost, revenue, and profit. (3 A) Costs are |:| at the rate of {ED per week at this production level. (Simplify your answer.) Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by x2 C = 80,000 + 40x, R =200x - P = R - C 20 where the production output in 1 week is x calculators. If production is increasing at a rate of 400 calculators per week when production output is 5,000 calculators. Find the rate of increase (decrease) in cost, revenue, and profit. . . . A) Costs are at the rate of $ per week at this production level. (Simplify your answer.)A boat is being pulled toward a dock as shown in the gure to the right. If the / rope is being pulled in at the rate of 1 foot per second, how fast is the ROPE 5 ft distance between the dock and the boat decreasing when it is 2 feet from the dock? Boat Dock The distance between the dock and the boat is decreasing by D feet per second when the boat is 2 feet from the dock. (Round to the nearest thousandth as needed.)