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The Gym Sock Company manufactures cotton athletic socks. Production is partially automated through the use of robots. Daily operating costs amount to $50 per labourer and $30 per robot. The number of pairs of socks the company can manufacture in a day is given by the Cobb-Douglas production formula q : 50n0.6 T0'4 where q is the number of pairs of socks that can be manufactured by n labourers and r robots. Assuming that the company wishes to produce 1000 pairs of socks per day at a minimum cost, how many labourers and robots should it use? Find the closest integer solutions that meet the constraintls) and the objective