You are the manager of two plants (factories) in Mexico that manufacture shoes. The combined monthly output of both plants is to be 10,000 pairs of shoes. In at most one page, explain, how you would best divide this output of 10,000 pairs of shoes between the two plants. You may make your arguments in words with the aid of diagrams, i.e., without the use of math. On the other hand, if you are comfortable with math (calculus), the following additional information may be made use of by you. The cost function of Plant 1 is C₁= a₀+ a₁Q₁+ a₂Q₁²+ a₃Q₁³and that of Plant 2 is C₂= b₀+ b₁Q₂+ b₂Q₂²+ b₃Q₂³, where Q₁and Q₂denote, respectively, the outputs of Plant 1 and Plant 2. PLEASE HELP ME UNDERSTAND TOBEST DIVIDE THIS OUTPUT OF 10,000 PAIRS OF SHOES BETWEEN THE TWO PLANTS. THANK YOU