Question

In: Accounting

From the information provided here in respect of an engineering firm present statements of product mix...

  1. From the information provided here in respect of an engineering firm present statements of product mix which will yield the highest profit to the firm.

Products                                                               A                 B                 C

Raw materials per unit (Kg)                              10               6                  15

Labour hours per unit @ $ 1 per hour            15               25               20

Selling price per ($)                                          125             100             200

Maximum production (units)                           6,000          4,000         3,000

100,000kgs of raw material are available at $ 10 per kg. Maximum production hours are 184,000 with a possibility for a further 15,000 hours in overtime basis at twice the normal wage rate.

(b) Would recommend overtime?

Solutions

Expert Solution

Products A B C Raw material available 100,000
Selling price per ($) 125 100 200 Maximum production hours 184000
Raw material per unit 10 6 15 Overtime hours available 15000
Labour hours per unit@ $ 1 per hour 15 25 20
Contribution per unit 100 69 165
Labour hours per unit ( labour cost/per hour cost) 15 25 20
Contribution per labour hour 6.666667 2.76 8.25
Ranking 2 3 1
Maximum production 6000 4000 3000
Raw material required 60000 24000 45000
Production units to be produced 5500 Nil 3000
Labour hours required to produce units 82500 60000 142500
As raw material is the bottle neck and only 3000 units of product C and 5500 units of Product A is to be produced.
Still surplus labour hours available as total labour hours required is only 142500 and available hours are 184,000.
Hence overtime shall not be accepted.

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