You manage a plant that​ mass-produces engines by teams of workers using assembly machines. The technology is summarized by the production function qequals5KL where q is the number of engines per​ week, K is the number of assembly​ machines, and L is the number of labor teams. Each assembly machine rents for requals​$10 comma 000 per​ week, and each team costs wequals​$5 comma 000 per week. Engine costs are given by the cost of labor teams and​ machines, plus ​$3 comma 000 per engine for raw materials. Your plant has a fixed installation of 5 assembly machines as part of its design. The total cost of producing q units of output​ (TC) is: