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Chilton, Inc. sold 11,300 units last year for $20 each. Variable costs per unit

ID: 2333997 • Letter: C

Question

Chilton, Inc. sold 11,300 units last year for $20 each. Variable costs per unit were $3.00 for direct materials, $2.10 for direct labor, and $3.70 for variable overhead. Fixed costs were $60,100 in manufacturing overhead and $40,600 in nonmanufacturing costs.   

a. What is the total contribution margin? (Round your intermediate calculations to 2 decimal places.)



b. What is the unit contribution margin? (Round your answer to 2 decimal places.)



c. What is the contribution margin ratio? (Round your intermediate calculations and final answer to 2 decimal places.)



d. If sales increase by 2,070 units, by how much will profits increase? (Round your intermediate calculation to 2 decimal places and final answer to the nearest dollar amount.)

Explanation / Answer

Selling Price per unit = $20 per unit

Total Variable cost per unit = $3.00 + 2.10 + 3.70= $8.80 per unit

Contribution per unit = Selling price per unit – Contribution per unit

= $20.00 - $8.80

= $11.20 per unit

(a)-Total Contribution Margin

Total Contribution Margin = Sales Unit x Contribution per unit

= 11,300 units x $11.20 per unit

= $126,560

(b)-Unit contribution margin

Unit contribution margin = $11.20 per unit

(c) -Contribution margin ratio

Contribution margin ratio = [Contribution per unit/Selling price per unit] x 100

= [$11.20 / 20] x 100

= 56%

(b)-Increase in Profit

Total Profit at 11,300 Units = [11,300 x $11.20] – [$60,100 + 40,600]

= $126,560 – 100,700

= $25,860

Total Profit at 13,370 Units = [(11,300 + 2070) x $11.20] – [$60,100 + 40,600]

= $149,744 - 100,700

= $49,044

A Profit of $23,184 will increase if the sales unit increased by 2,070 units [$49,044 – 25,860]

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