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XYZ Company produces three products, A, B, and C. XYZ\'s plant capacity is limit

ID: 2611160 • Letter: X

Question

 XYZ Company produces three products, A, B, and C. XYZ's plant capacity is limited to 48,000 machine hours per year. The following information is available for planning purposes:                                      Product A       Product B       Product C demand for next year .............  24,000 units   25,000 units   12,000 units selling price per unit ...........    $80             $120            $160 direct material cost per unit ....    $24             $ 21            $ 38 direct labor cost per unit .......    $18             $ 50            $ 38 variable overhead cost per unit ..    $22             $ 25            $ 54   It takes 0.80 machine hours to produce one unit of Product A; 1.25 machine hours to produce one unit of Product B; and 1.60 machine hours to produce one unit of Product C.  Calculate the total number of units of Product B that XYZ Company should produce in order to maximize its net income. 

Explanation / Answer

Total hours available = 48000 machine hour

Product A machine hour used = 24000*.80 = 19200 hour

Rest hour use for product B = (48000-19200)/1.25 = 23040 unit

so answer is 23040 unit of Product B that XYZ Company should

Product A Product B Product C Contribution margin per unit 16 24 30 Machine hour per unit 0.80 1.25 1.60 Contribution margin per hour 20 19.2 18.75 Rank 1 2 3