Local co. has sales of $ 10.6 million and cost of sales of $ 5.6 million. its​ selling, general and administrative expenses are $ 550 comma 000 and its research and development is $ 1.1 million. it has annual depreciation charges of $ 1.3 million and a tax rate of 35 %.
a. what is​ local's gross​ margin?
b. what is​ local's operating​ margin?
c. what is​ local's net profit​ margin?
a. what is​ local's gross​ margin? ​local's gross margin is nothing​%. ​(round to one decimal​ place.)

Respuesta :

Given: Sales/Revenue = $10.6 million

           Cost of goods sold = $5.6 million

           General and administrative expenses = $550,000

           Research and development expenses = $1.1 million

           Annual depreciation = $1.3 million

           Tax rate = 35%

Find: gross margin, operating margin and net profit margin

Solutions:

a) The Gross Margin is 47.2%

Gross Margin = (Revenue - Cost of Goods Sold)/Revenue

$10.6 million –$ 5.6 million = $5,000,000

$5,000,000/$10,600,000 = 0.4716 or 47.2%


b) The Operating Profit Margin is 72.2%

Operating Profit Margin = Operating Income / Sales Revenue

*Get first the total amount of operating income

Operating income = Gross Profit – General and Administrative Expenses – Research and Development – Depreciation

Operating income = $10,600,000 - $550,000 - $1,100,000 - $1,300,000

Operating income = $7,650,000

*Then get the operating margin

Operating margin = $7,650,000 / $10,600,000

Operating margin = 0.7216 or 72.2%


c) The net profit margin is 46.9%

Net Profit Margin = Net Income/ Total Revenues

*Get first the total amount of Net Income

Net Income = Total Revenues – Total Expenses

Net Income = $10,600,000 - $550,000 - $1,100,000 - $1,300,000 x (1-0.35)
Net Income = $7,650,000 x (1-0.35)

Net Income = $4,972,500

*Then get the Net Profit Margin

Net Profit Margin = $4,972,500/$10,600,000

Net Profit Margin = 0.4691 or 46.9%

Local's gross margin is 47.2%, its operating margin is 19.3%, and its net profit margin is 12.6%.

What is Profit Margin?

Profit margin refers to a metric that is used to determine the profitability of a business by dividing profit by sales or revenue and then expressed in percentage.

Gross, Operating, and Net Profit Margins of Local co. can be calculated as follows:

a. Local's gross margin can be calculated as follows:

Gross profit = Sales – Cost of Sales = $10,600,000 - $5,600,000 = $5,000,000

Therefore, we have:

Local's gross margin = Gross profit / Sales = $5,000,000 / $10,600,000 = 0.472, or 47.2%

b. Local's operating margin can be calculated as follows:

Operating expenses = General and Administrative Expenses + Research and Development + Depreciation = $550,000 + $1,100,000 + $1,300,000 = $2,950,000

Operating income = Gross profit - Operating expenses = $5,000,000 - $2,950,000 = $2,050,000

Therefore, we have:

Local's operating margin = Operating income / Sales = $2,050,000 / $10,600,000 = 0.193, or 19.3%

c. Local's net profit margin can be calculated as follows:

Net profit = Operating income – (Operating income * Tax rate) = $2,050,000 – ($2,050,000 * 35%) = $1,332,500

Therefore, we have:

Local's net profit margin = $1,332,500 / $10,600,000 = 0.126, or 12.6%

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