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Assume that MTA Sandwiches sells sandwiches for $3.10 each. The cost of each sandwich follows: Materials Labor Varable overhe

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a Schedule showing the impact of MTA's profits of providing 800 sandwiches in addition to the regular production and sales of 18800 sandwiches per month:-
The company has spare capacity to make 800 additional units . So the relevant cost to consider is only variable cost.
Statement of Operating Profit (loss)
Status Quo (18800 units) Special Order (800 units) Alternative (19600 units)
Units Per Unit Amount Units Per Unit Amount Amount
a b c =a*b d e f =d*e g =c+f
Sales Revenue 18800 $              3.10 $               58,280 800 $      1.90 $     1,520 $              59,800
Less: Variable Cost
          Materials 18800 $              0.80 $               15,040 800 $      0.80 $        640 $              15,680
          Labor 18800 $              0.40 $                 7,520 800 $      0.40 $        320 $                 7,840
          Variable overhead 18800 $              0.40 $                 7,520 800 $      0.40 $        320 $                 7,840
         Total Variable Cost $               30,080 $     1,280 $              31,360
Contribution Margin $               28,200 $        240 $              28,440
Less: Fixed Cost 18800 $              1.20 $               22,560 $            -   $              22,560
Operating Profit (loss) $                 5,640 $        240 $                5,880
Schedule showing the impact on MTA's profits of providing 800 sandwiches in addition to the regular production and sales of 18800 sandwiches per month
Status Quo Alternative Difference
18800 units 19600 units
Sales Revenue $         58,280 $         59,800 $                 1,520 higher
Less: Variable Cost
          Materials $         15,040 $         15,680 $                     640 higher
          Labor $           7,520 $           7,840 $                     320 higher
          Variable overhead $           7,520 $           7,840 $                     320 higher
         Total Variable Cost $         30,080 $         31,360 $                 1,280 higher
Contribution Margin $         28,200 $         28,440 $                     240 higher
Less: Fixed Cost $         22,560 $         22,560
Operating Profit (loss) $           5,640 $           5,880 $                     240 higher
b. Lowest price per sandwich at which the special order can be filled without reducing MTA's profits:-
Relevant Costs:
     Direct materials   $0.80
     Direct labor $0.40
     Variable factory overhead $0.40
Relevant Cost $1.60 per sandwich
Lowest price per sandwich at which the special order can be filled without reducing MTA's profits will be just equal to relevant cost = $1.60. So Lowest Price = $1.60

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