2) a & b) Table showing type of costs for the given data (Amounts in $)
Operating Cost Items | Sales Levels | Cost Type | Cost Type Amounts | ||||||
4,000 | 6,000 | Product Cost | Period Cost | Variable | Fixed | Mixed | Per Unit Variable Cost | Total Fixed Cost | |
Dough | 1,600 | 2,400 | X | X | 0.40 | ||||
Toppings | 1,000 | 1,500 | X | X | 0.25 | ||||
Cheese | 1,800 | 2,700 | X | X | 0.45 | ||||
Tomatoes | 1,200 | 1,800 | X | X | 0.30 | ||||
Energy | 2,500 | 3,000 | X | X | 0.25 [(3,000-2,500)/(6,000-4,000)] | 1,500 | |||
Kitchen Personnel | 3,000 | 3,000 | X | X | 3,000 | ||||
Delivery Personnel | 880 | 1,320 | S | X | 0.22 | ||||
Car expenses | 2,600 | 2,900 | A | X | 0.15 [(2,900-2,600)/(6,000-4,000)] | 2,000 [2,900 - (0.15*6,000)] | |||
Facilities | 10,000 | 10,000 | A | X | 10,000 | ||||
Advertising | 4,500 | 4,500 | S | X | 4,500 | ||||
Total Operating Costs | 29,080 | 33,120 | 2.02 | 21,000 |
Therefore total variable cost is $2.02 per unit and total fixed cost is $21,000.
Working Notes:-
i)Variable cost is the cost which remain same per unit and change in proportion to change in units. Fixed cost is the cost which remain same irrespective of change in units. Mixed cost comprises of both variable cost and fixed cost.
ii) Energy and car expenses are mixed costs and variable cost and fixed cost is separated from the given mixed cost.
Variable cost per unit from mixed cost = (Increase in mixed cost for increase in units)/Total increase in units
For example for Energy = ($3,000-$2,500)/(6,000 units - 4,000 units)
= $500/2,000 units = $0.25 per unit
Total fixed energy cost = $3,000 - ($0.25*6,000 units)
= $3,000 - $1,500 = $1,500
c) Contribution margin per pizza = Selling price per pizza - Variable cost per pizza
= $10 - $2.02 = $7.98 per pizza
Therefore contribution margin per pizza is $7.98 per pizza.
d) Break Even Sales (in units) = Total Fixed Cost/Contribution Margin per pizza
= $21,000/$7.98 per pizza = 2,632 pizzas (Rounded off)
Therefore break even sales level is 2,632 pizzas.
e) Desired Sales Level = (Total Fixed Cost+Desired Profit)/Contribution Margin per pizza
= ($21,000+$9,000)/$7.98 per pizza
= $30,000/$7.98 per pizza = 3,759 pizzas
Therefore the sales level that will generate a profit of $9,000 is 3,759 pizzas.
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