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Benoit Company produces three products, D, E, and F. Cost and revenue characteristics of the three products follow (per unit):

                                                                                                                    Product                                                                                                                     D                             E                    F

Selling price                        $46                                 $41            $40

Less variable expenses:

 Direct materials                    18                                 12                 9

 Labor and overhead             13                                     9               19

 Total variable expenses         31                                   21                28

Contribution margin              $15                                 $20               $12

Demand for the company’s products is very strong, with far more orders on hand each month than the company has raw materials available to produce. The same material is used in each product. The material costs $3 per pound, with a limited number of pounds available each month. In what order should the company fill the demand for the three products?

1. D,E,F
2. E.D.F
3. F,D,E
4. E,F,D

b) The reducible representation for all possible molecular motions of XeF4 is given by: Γ = A1g + A2g + B1g + B2g + Eg + 2 A2u + B2u +3 Eu Name the irreducible representations corresponding to translation and rotation in x, y, and z direction. What are the irreducible representations for the vibrational modes? c) Determine which vibrations are IR active and which ones are Raman active.

(i) Generate the reducible representation for all modes of motion for B(OH)3. [C3h]
(ii) Reduce the representation.
(iii) Identify the vibrational modes, and of these identify which are IR active and which are Raman active.