4.) When a bicycle shop spends K dollars, they can produce O(K) = 75K1/3 bicycles. They will adjust their spending so that in t weeks from now, they will spend K(t) = 0.5t2 + 86.5t + 1567 dollars. a.) Find the rate at which the number of bicycles the shop can produce is changing as a function of time in 7 weeks. Round you final answer to 2 decimal places and include units with your answer. b.) How many bicycles will the ship produce in 7 weeks? Round your answer to the 2 decimal places and include units with your