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2. A firm is able to sell 10,000 units. The company fixed cost is $10,000. Varia

ID: 2740501 • Letter: 2

Question

2. A firm is able to sell 10,000 units. The company fixed cost is $10,000. Variable cost is $6 per unit. Contribution margin (CM) is $4. a. What is the markup (profit margin %) on sales price? What is the mark up on total cost (profit margin b. If the price elasticity of demand is 2, how many units they can sell if they drop the SP by $2. c. What is the new markup on sales price? What is the new mark up on total cost? (Hint: use the new sales) d. Please calculate the total profit for this company as well as the profit per each toy sold

Explanation / Answer

Answer to Part a.

Sales (10,000 * 10)                                           = 100,000

Less: Variable Cost ( 10,000 * 6)                 = 60,000

Contribution Margin                                       = 40,000

Less: Fixed cost                                                 = 10,000

Net operating Income                                   = 30,000

Mark Up (Profit margin) on Sales price = Net Profit / Sales*100

Mark Up (Profit margin) on Sales price = 30,000 / 100,000 *100

Mark Up (Profit margin) on Sales price = 30%

Mark Up (Profit margin) on Total Cost = Net Profit /Total cost*100

Mark Up (Profit margin) on Sales price = 30,000 / 70,000 *100

Mark Up (Profit margin) on Sales price = 42.86%

Answer to Part 2

Price Elasticity of Demand = % change in Quantity demanded/ % change in price= 2

Current Selling price = 10

Expected Selling Price= 8

Change in Selling Price = $2

% change in price = 2/10*100 = 20%

Price Elasticity of Demand = % change in Quantity demanded/ % change in price

2 = % change in Quantity demanded / 20

40% = % change in Quantity demanded

Current Units Sold = 10,000 units

% change in Quantity demanded = 40%

Therefore, Expected Units sold = 10,000 – 40% * 10,000 = 6,000 units

Answer to Part c

Sales (10,000 * 8)                                             = 80,000

Less: Variable Cost ( 10,000 * 6)                 = 60,000

Contribution Margin                                       = 20,000

Less: Fixed cost                                                 = 10,000

Net operating Income                                   = 10,000

Mark Up (Profit margin) on Sales price = Net Profit / Sales*100

Mark Up (Profit margin) on Sales price = 10,000 / 80,000 *100

Mark Up (Profit margin) on Sales price = 12.5%

Mark Up (Profit margin) on Total Cost = Net Profit /Total cost*100

Mark Up (Profit margin) on Sales price = 10,000 / 70,000 *100

Mark Up (Profit margin) on Sales price = 14.29%

Answer to Part d

Sales (10,000 * 10)                                           = 100,000

Less: Variable Cost ( 10,000 * 6)                 = 60,000

Contribution Margin                                       = 40,000

Less: Fixed cost                                                 = 10,000

Net operating Income                                   = 30,000

Profit per each toy = 30,000 / 10,000 = $3