Since the bottleneck activity is machine hours we will calculate contribution per hour of each product.
Particulars | Std | deluxe |
Price per unit | $95 | $115 |
Variable cost per unit | $42 | $46 |
Contribution per unit | $53 | $69 |
÷ machine hours per unit | 0.5 | 1.50 |
Contribution per machine hour | $106 | $46 |
Rank | 1st | 2nd |
Since standard product has a higher contribution per machine hour , it would be given priority.
A) If Maximum sales is 222000 units , allocation will be as follows
Particulars | hours |
Total hours available | 101000 |
Used in standard product | 101000 |
Remaining | 0 |
Since all the hours available used in production of standard units upto (101000/0.5) 202000 units
There will be no production of deluxe units.
B) If Maximum sales is 125500 units allocation will be as follows
Particulars | hours |
Total available | 101000 |
Used in standard product (125500*0.50) | 62750 |
Remaining hours | 38250 |
Used in deluxe | 38250 |
Remaining | 0 |
Hence production will be as follows
Standard - 125500 units
Deluxe = 38250/1.50 = 25500 units
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