Chains, Inc. is in the business of making and selling chains. Let c(t) be the number of miles of chain produced after t hours of production. Let p(c) be the profit as a function of the number of miles of chain produced, and let q(t) be the profit as a function of the number of hours of production. Suppose the company can produce three miles of chain per hour, and suppose their profit on the chains is $4000 per mile of chain. Find each of the following (include units). a. c(t)=
b. c' (t)=