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The following information is available for electricity costs for the first six months of the year. MonthProduction VolumeElectricity Cost January2,800$2,100 February5,6003,600 March6,4003,800 April3,5002,600 May2,4001,600 June4,2002,700 Using the high-low method, an estimate of electricity costs at 3,000 units of production would be:Question 7Select one:a.$1,930b.$2,050c.$2,372d.$3,730

Question

The following information is available for electricity costs for the first six months of the year. MonthProduction VolumeElectricity Cost January2,8002,100 February5,6003,600 March6,4003,800 April3,5002,600 May2,4001,600 June4,2002,700 Usingthehighlowmethod,anestimateofelectricitycostsat3,000unitsofproductionwouldbe:Question7Selectone:a.2,100 February5,6003,600 March6,4003,800 April3,5002,600 May2,4001,600 June4,2002,700 Using the high-low method, an estimate of electricity costs at 3,000 units of production would be:Question 7Select one:a.1,930b.2,050c.2,050c.2,372d.$3,730

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Solution

To solve this problem using the high-low method, we first need to identify the highest and lowest levels of activity and their associated costs.

From the data given, the highest level of activity is in March with 6,400 units of production and a cost of 3,800.ThelowestlevelofactivityisinMaywith2,400unitsofproductionandacostof3,800. The lowest level of activity is in May with 2,400 units of production and a cost of 1,600.

The high-low method calculates the variable cost per unit first, which is the change in cost divided by the change in activity level.

So, the variable cost per unit = (High cost - Low cost) / (High activity level - Low activity level)

= (3,8003,800 - 1,600) / (6,400 units - 2,400 units)

= $2,200 / 4,000 units

= $0.55 per unit

Next, we calculate the fixed costs by subtracting the total variable costs at either the high or low level of activity from the total cost at that activity level.

So, Fixed cost = High cost - (Variable cost per unit * High activity level)

= 3,800(3,800 - (0.55 * 6,400 units)

= 3,8003,800 - 3,520

= $280

Now that we have the variable cost per unit and the fixed costs, we can estimate the electricity costs at 3,000 units of production.

Estimated cost = (Variable cost per unit * Activity level) + Fixed cost

= (0.553,000units)+0.55 * 3,000 units) + 280

= 1,650+1,650 + 280

= $1,930

So, the answer is a. $1,930.

This problem has been solved

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