A company with manufacturing plants located in State A and State B has labor-hour and wage requirements for the manufacture of three types of inflatable boats as given in the two matrices below Complete parts (A) through (D) Labor-Hours Per Boat Cutting Assembly Packaging Dept Dept Dept 0.3 0.3 0.7 1.3 1.3 1.5 1.8 1.4 1.8 Hourly Wages State A 17.71 N= 12.74 10.89 State B 16.92 17.54 9.43 Cutting Dept Assembly Dept Packaging Dept (A) Find the labor costs for a one-person boat manufactured at the State A plant Labor costs $(Round to the nearest cent as needed) OA (B) Find the labor costs for a four-person boat manufactured at the State B plant. Labor costs $ (Round to the nearest cent as needed.) (C) Discuss possible interpretations of the elements in the matrix products MN and NM. Select the correct choice below that describes the best interpretation of the elements in the matrix product MN M= OA. Matrix product MN does not exist OB. Matrix product MN exists and represents the labor cost for assembly and packaging departments for the three types of inflatable boats for state A and state B OC. Matrix product MN exists and represents the labor cost for cutting department for the three types of inflatable boats for state A and state B OD. Matrix product MN exists and represents the total labur cost for the three types of inflatable boats for each state Select the correct choice below that describes the best interpretation of the elements in the matrix product NM OA. Matrix product NM exists and represents the labor cost for cutting department for the three types of inflatable boats for state A and state B OB. Matrix product NM does not exist OC. Matrix product NM exists and represents the total labor cost for the three types of inflatable boats for each state OD. Matrix product NM exists and represents the labor cost for assembly and packaging departments for the three types of inflatable boats for state A and state B (D) If the product MN has a meaningful interpretation, find the product and label its rows and columns. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice that represents the matrix pr Labor cost per boat 1-person 2-person boat boat 1-person boat 2-person boat 4-person boat Labor cost per boat State A State B State C