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ziegler Inc. has decided to use the high-low method to estimate the total cost and the fixed and variable cost components of the total cost. The data for various levels of production are as follows:
Units Produced | Total Costs | |||
80,000 | $25,100,000 | |||
92,000 | 27,206,000 | |||
120,000 | 32,120,000 |
a. Determine the variable cost per unit and the total fixed cost.
Variable cost (Round to two decimal places.) | $ per unit |
Total fixed cost | $ |
b. Based on part (a), estimate the total cost for 115,000 units of production.
Total cost for 115,000 units | $ |
QUESTION NO 1.
VARIABLE COST PER UNIT AS PER HIGH LOW METHOD = HIGHEST ACTIVITY COST - LOWER ACTIVITY COST / HIGHEST UNITS PRODUCED - LOWER UNIT PRODUCED.
AS PER GIVEN DATA
HIGHEST ACTIVITY COST = 32,120,000
LOWEST ACTIVITY COST = 25,100,000
HIGHEST UNITS PRODUCED = 120,000
LOWEST UNITS PRODUCED = 80,000
SO VARIABLE COST PER UNIT = 32,120,000 - 25,100,000 / 120,000- 80,000
= $ 175.50
NOW FIXED COSTS = HIGHEST ACTIVITY COSTS -(VARIABLE COST PER UNIT * HIGHEST UNITS PRODUCED )
= 32,120,000 - (175.50* 120,000)
=32,120,000 - 21,060,000
=$ 11,060,000
HENCE VARIABLE COST PER UNIT = $ 175.50 AND FIXED COSTS = $ 11,060,000
QUESTION NO 2
TOTAL COST FOR PRODUCING 115,000 UNITS OF PRODUCTION AS PER ABOVE
TOTAL COSTS = FIXED COSTS +( VARABLE COST * NO OF UNITS)
= 11,060,000 + ( 175.50 * 115,000 )
= 11,060,000 + 20,182,500
= $ 31,242,500
HENCE TOTAL COST OF PRODUCING 115,000 UNITS = $ 31,242,500.
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