Green vehicle inc., manufactures electric cars and small delivery trucks. it has just opened a new factory where the c1 car and the t1 truck can both be manufactured. to make either vehicle, processing in the assembly shop and in the paint shop are required. it takes 1/40 of a day and 1/60 of a day to paint a truck of type t1 and a car of type c1 in the paint shop, respectively. it takes 1/50 of a day to assemble either type of vehicle in the assembly shop. a t1 truck and a c1 car yield profits of $300 and $220, respectively, per vehicle sold. formulate the linear program that provides the combination of t1 and c1 that maximizes yield, clearly specifying (a) variables, (b) objective function and (c) constraints.