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riable Calculate the expected production costs if 9,000 units a E20-2 The controller of Norton Industries has the cost behavi
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Answer #1

E20-2:

(a): Variable cost = highest activity cost - lowest activity cost/highest activity units - lowest activity units

= 5500-2700/700-300

= 2800/400

= $7 per machine hour

Fixed cost = highest activity cost - (variable cost as computed above * highest activity units) = 5500 - (7*700) = 600

Thus fixed cost = $600 and variable cost = $7 per machine hour

(b): The graph is provided below:

8000 7000 6000 4000 Total cost Fixed cost Variable cost 3000 2000 1000 04 0 200 400 600 800 1000 1200

In the above graph machine hours is shown in the x axis and costs in the y axis.

E20-3:

(a): Variable costs = 75% of sales = 75% of 30 = 22.5. Thus contribution margin in dollars per unit = 30-22.5 = $7.5

CM ratio = 7.5/30 = 25%

(b): Break even point in dollars = Total fixed costs/CM ratio = $18,000/25% = $72,000

Break even point in units = fixed costs/selling price per unit - varible cost per unit = 18,000/30-22.5 = 2,400

(c): Current profits at 2,700 sale units = 2700*(30-22.5) - 18,000 = $2,250

Value of sales = 2700*30 = 81,000. Thus new sales = 81,000+18,000 = 99,000 and so units = 99,000/30 = 3300 units.

New profit = 3300*(30-22.5) - 18,000 = $6,750

Thus profit will increase by 6750-2250

= $4,500

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