Variable Cost Concept of Product Pricing
Willis Products Inc. uses the product cost concept of applying the cost-plus approach to product pricing. The costs of producing and selling 7,000 units of medical tablets are as follows:
Variable costs per unit: | Fixed costs: | ||||||
Direct materials | $109 | Factory overhead | $266,000 | ||||
Direct labor | 40 | Selling and admin. exp. | 91,000 | ||||
Factory overhead | 34 | ||||||
Selling and admin. exp. | 27 | ||||||
Total | $210 |
Willis Products desires a profit equal to a 25% rate of return on invested assets of $600,012.
a. Determine the variable costs and the cost amount per unit for the production and sale of 7,000 units of medical tablets.
Total variable costs | $ |
Variable cost per unit | $ per unit |
b. Determine the variable cost markup
percentage per unit. Round your percentage answer to one decimal
place.
%
c. Determine the selling price per unit. Use
the rounded variable cost markup percentage in your calculations,
and round the amount of the markup to the nearest whole
dollar.
$ per unit
For part b I keep doing the calculations and keep getting 10.2% which the system is telling me is incorrect.
For part C I keep doing the calculations and keep getting 231 which the system is also telling me is incorrect.
a. Total variable costs = $210 x 7000 = $1470000
Variable cost per unit = $210 per unit
b. Variable cost markup percentage per unit: 34.5%
Markup percentage = (Desired profit + Total fixed costs)/Total variable costs
Desired profit = $600012 x 25% = $150003
Total fixed costs = $266000 + $91000 = $357000
Total variable costs = $1470000
Markup percentage = ($150003 + $357000)/$1470000 = $507003/$1470000 = 34.49% = 34.5%
c. Selling price per unit: $282
Variable cost per unit = $210
Markup per unit = $210 x 34.5% = $72.45 = $72
Selling price per unit = $210 + $72 = $282
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