Question

In: Finance

You estimate that your soy farm will $1.3 million of profits on sales of $6.0 million...

You estimate that your soy farm will $1.3 million of profits on sales of $6.0 million under normal economic conditions, and that the degree of operating leverage is 4.2. What will profits be if sales turn out to be $5.4 million?

Solutions

Expert Solution

Compute the contribution margin, using the equation as shown below:

Contribution = Degree of operating leverage*Income

                      = 4.2 times*$1,300,000

                      = $5,460,000

Hence, the contribution margin is $5,460,000.

Compute the fixed cost, using the equation as shown below:

Fixed cost = Contribution – Income

                  = $5,460,000 - $1,300,000

                  = $4,160,000

Hence, the fixed cost is $4,160,000.

Compute the new contribution margin, using the equation as shown below:

New contribution = (Existing contribution*New sales)/ Existing Sales

                             = ($5,460,000*$5,400,000)/ $6,000,000

                             = $4,914,000

Hence, the new contribution is $4,914,000.

Compute the profit due to new sales, using the equation as shown below:

Profit = New contribution – Fixed cost

          = $4,914,000 - $4,160,000

          = 754,000

Hence, the profit due to new sales is $754,000.


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