Self-Assessment HW7A (Break-even point, Operating leverage)

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University of Maryland, University College *

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330 7980

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Industrial Engineering

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Dec 6, 2023

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docx

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Question 1 The Poseidon Swim Company produces swim trunks. The average selling price for one of their swim trunks is $38.43. The variable cost per unit is $18.19, Poseidon Swim has average fixed costs per year of $24,161. What is the break-even point in units for Poseidon Swim? Round the answer to the whole number. Your Answer: 1194 Answer w Hide Check my answer The formula is: Qu=F/(P-V), where Q = the number of units sold Qp = the break-even level of Q P= unit sales price F = total fixed costs anticipated over the planning period V = the unit variable cost Qu=F/(P-V) = $24,161 /($38.43 - $18.19) = 1194 swim trunks
Question 4 The Poseidon Swim Company produces swim trunks. The average selling price for one of their swim trunks is $79.04. The variable cost per unit is $19.73, Poseidon Swim has average fixed costs per year of $8,405. Determine the degree of operating leverage for the level of production and sales 427 swim trunks. Round the answer to two decimals. Your Answer: Answer W Hide Check my answer The formula is: QP-V)-F Where Q= the number of units sold P= unit sales price F= total fixed costs anticipated over the planning period V = the unit variable cost DOL, = 427 *($79.04 - $19.73) / [427 *( $79.04 - $19.73) - $8,405] =1.5
Question 2 The Poseidon Swim Company produces swim trunks. The average selling price for one of their swim trunks is $33.03. The variable cost per unit is $21.95, Poseidon Swim has average fixed costs per year of $50,058. What is the break-even point in dollar sales? Round the answer to two decimals. Your Answer: 149225.25 Answer w Hide Check my answer Step 1: Calculate the break-even in units Qp, =F/(P-V), where Q = the number of units sold Qp = the break-even level of Q P = unit sales price F = total fixed costs anticipated over the planning period V = the unit variable cost Qp, = F/(P-V) = $50,058 /($33.03 - $21.95) = 4517.87 Step 2: Calculate break-even point in dollar sales 4517.87 * $33.03 = $149225.25 Question 3 The Poseidon Swim Company produces swim trunks. The average selling price for one of their swim trunks is $77.04. The variable cost per unit is $18.82, Poseidon Swim has average fixed costs per year of $13,222. What would be the operating profit or loss associated with the production and sale of 458 swim trunks? Round the answer to two decimals. Your Answer: 1344; Answer W Hide Check my answer EBIT=Q'P - V*Q - F, where Q= the number of units sold P= unit sales price F= total fixed costs anticipated over the planning period V = the unit variable cost EBIT=Q'P-V'Q-F=458"$77.04 - $18.82'458 - $13,222 = 13,442.76
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Question 5 The Poscidon Swim Company produces swim trunks. The average selling price for one of their swim trunks is $76.87. The variable cost per unit is $27.54, Poscidon Swim has average fixed costs per year of $9,256. Assume that current level of sales is 344 units. What will be the resulting percentage change in EBIT if they expect units sold to changes by 2.4 percent? (You should calculate the degree of operating leverage first) (TWrite the percentage sign in the "units" box). Round the answer to two decimal places in percentage form. Your Answer: 5.28 Answer units. W Hide Check my answer Step 1: Calculate the degree of operating leverage: QP -V) QP -V)-F Where Q = the number of units sold P = unit sales price F = total fixed costs anticipated over the planning period V = the unit variable cost DOL = 344 *($76.87 - $27.54) / [344 *( $76.87 - $27.54) - $9,256 | = 2.2 Step 2: Calculate the resulting percentage change in EBIT if they expect units sold to changes by 2.4 percent? 2.4% *DOL=2.4% *2.2=528%