1. 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 3 miles of chain per hour and suppose their profit on the chains is $4000 per mile of chain. find and interpret (use complete sentences) each of the following (include units), c'(t) , p'(c) , and q'(t) . how does q'(t) relates to p'(c) and c'(t) ?