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Unter Components manufactures low-cost navigation systems for installation in ride-sharing cars. It sells these systems to va


Reg A1 Req A2 Req B1 Reg B2 Req C1 Reg C2 A nationwide car-sharing service has offered to buy 2,400 Star100 systems and 2,400
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Unter Components
Present Situation Star 100 Star 150 Total Note
Units sold            4,000.00        2,000.00           6,000.00 A
Sell Price               280.00           380.00 B
Sale Value 1,120,000.00 760,000.00 1,880,000.00 C=A*B
Direct materials                 64.00             74.00
Direct Labor                 24.00             30.00
Variable overhead                 10.00             15.00
Total variable cost per unit                 98.00           119.00 D
Total variable cost       392,000.00 238,000.00       630,000.00 E=D*A
Contribution per unit               182.00           261.00 F=B-D
Contribution margin       728,000.00 522,000.00 1,250,000.00 G=F*A
Total fixed cost per unit                 89.00           119.00 H
Total fixed cost       356,000.00 238,000.00       594,000.00 I=H*A
Total profits       372,000.00 284,000.00       656,000.00 K=G-I
Direct Labor cost per unit                 24.00             30.00 L
Wage rate per hour                 15.00             15.00 M
Direct Labor hour per unit                   1.60                2.00 N=L/M
Units sold            4,000.00        2,000.00           6,000.00 A
Direct Labor used           6,400.00        4,000.00         10,400.00 O=N*A
Contribution per unit               182.00           261.00 F
Contribution per hour               113.75           130.50 P=F/N
Answer a 1 Star 100 Star 150 Total
Offer to buy units            2,400.00        2,400.00
Direct Labor hour per unit                   1.60                2.00
Direct Labor hours required           3,840.00        4,800.00           8,640.00
Answer a 2 Star 100 Star 150 Total
Offer to buy units            2,400.00        2,400.00
Sell Price               190.00           240.00
Sale Value       456,000.00 576,000.00 1,032,000.00 Q
Total variable cost per unit                 98.00           119.00
Total variable cost       235,200.00 285,600.00
Contribution margin       220,800.00 290,400.00       511,200.00 R
Total Contribution margin       948,800.00 812,400.00 1,761,200.00 T=R+G
Differential profit increase       220,800.00 290,400.00       511,200.00 S=Q-R
Differential profit increase is same as additional contribution from sale to car sharing because Fixed cost is irrelevant cost for decision making.
Answer b 1
If 3400 units of each product to be sold to car sharing service then first we calculate the hours needed:
Star 100 Star 150 Total
Offer to buy units            3,400.00        3,400.00
Direct Labor hour per unit                   1.60                2.00
Direct Labor hours required           5,440.00        6,800.00         12,240.00
Now we will see how much additional hours is required after the company has utilized its 20000 hours.
Total Labor hours         20,000.00
Labor hours already used in existing demand         10,400.00
Labor hours remaining           9,600.00
Direct Labor hours required         12,240.00
Additional Labor hours needed           2,640.00
To full fill above additional 2640 hours of existing sales has to be reduced. As calculated above in note P-
Star 100 has lower contribution per hour of $ 113.75 than Star 150. So sales of STAR 100 should be reduced by adjusting its labor hours.
Additional Labor hours needed            2,640.00 See T
Direct Labor hour per unit of STAR 100                   1.60 See N
Number of units of STAR 100 to not be sold           1,650.00 U=T/N
Contribution per unit               182.00 See F
Loss of contribution on units not sold       300,300.00 V=U*F
Revised profits Star 100 Star 150 Total
Units sold to car sharing            3,400.00        3,400.00
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